Line emission mapper microcalorimeter spectrometer

Abstract. The line emission mapper (LEM) is a probe-class mission concept that is designed to detect x-ray emission lines from hot ionized gas (T  >  106  K) that will enable us to test galaxy evolution theories. It will permit us to study the effects of stellar and black-hole feedback and flows of baryonic matter into and out of galaxies. The key to being able to study the hot gases that are otherwise invisible to current imaging x-ray spectrometers is that the energy resolution is sufficient to use cosmological redshift to separate extragalactic source lines from foreground Milky Way emission. LEM incorporates a large-format microcalorimeter array instrument called the LEM microcalorimeter spectrometer (LMS) with a light-weight x-ray optic with 10” half power diameter angular resolution. The LMS microcalorimeter array has pixels with 15″ pixel pitch over a 33′ field of view (FOV) optimized for the 0.3 to 2 keV energy band. The central 7′ region of the array has an energy resolution of 1.3 eV at 1 keV and the rest of the FOV has 2.5 eV energy resolution at 1 keV. The array will be read out with state-of-the-art time-division multiplexing. We present an overview of the LMS instrument, including details of the entire detection chain, the focal plane assembly, as well as the cooling system and overall mechanical and thermal design. For each of the key technologies, we discuss the current technology readiness level and the plan to advance them to be ready for flight. We also describe the current system design and our estimate for the mass, power, and data rate of the instrument. The design details presented concentrate primarily on the unique aspects of the LMS design compared with prior missions and confirm that the type of microcalorimeter instrument needed for LEM is not only feasible but also technically mature.


Introduction
The line emission mapper (LEM) astrophysics probe 1 will fill in a major missing puzzle piece in our understanding of cosmic ecosystems 2 by charting flows of mass and energy in and around galaxies.LEM will do this by mapping important x-ray emission lines from hot ionized gas (T > 10 6 K) that encode the temperature, chemical abundances, mass, and velocity needed to develop galaxy evolution theories.We already know that diffuse hot gas plays an essential role in a galaxy's life: enormous reservoirs of hot gas around and between galaxies provide the fuel for future growth, [3][4][5][6] whereas their metal and entropy content trace the "feedback" from stars, supernovae, and supermassive black holes that regulate galaxy growth. 7,80][11] In regions of active star formation, flows of supernova-heated hot gas [12][13][14][15][16] can both trigger star formation and destroy stellar nurseries. 17,18et studies of interstellar, circumgalactic, and intergalactic hot gas are beset by order-ofmagnitude uncertainties in mass, metallicity, velocity, and even luminosity because this gas is diffuse, very faint, and observed through a forest of much brighter foreground emission lines.These characteristics strongly limit studies with current or planned instruments.Silicon-based x-ray imaging spectrometers (e.g., on board Chandra, XMM-Newton, Suzaku, or eROSITA) can make high angular resolution maps but lack the energy resolution to separate source emission from foregrounds and backgrounds or to measure Doppler broadening of the lines.Meanwhile, x-ray grating spectrometers (Chandra LETG, XMM-Newton RGS) have the energy resolution but cannot observe faint, extended sources.The LEM microcalorimeter spectrometer (LMS) solves these problems via high-resolution (<2.5 eV) non-dispersive imaging spectroscopy [15″ pixels over a 30 arcmin field of view (FOV)] in the 0.3 to 2 keV band.A key advantage of LMS over current imaging spectrometers is that the energy resolution is sufficient to use cosmological redshift to separate extragalactic source lines from foreground Milky Way emission; for important oxygen and iron lines, this will reduce the background by up to a factor of 50.Hence, LMS enables accurately mapping temperature, density, metal content, and velocities in individual supernova remnants, massive star clusters, the hot interstellar medium, the circumgalactic and intracluster medium, and the cosmic web.These measurements will tell us how mass, energy, and metals flow from sources to sinks over an enormous range of distance scales, from 10 to 10 7 light years.
The LMS is paired with an x-ray optic with 10″ angular resolution and large effective area.The 10″ half power diameter resolution ensures that almost all x-rays from coincident point sources (often much brighter than the diffuse gas) are contained within 1 to 2 LMS pixels (15″ or 290 μm pitch at the 4-m telescope focal length), whereas the product of high effective area and FOV (grasp) enables LEM to map very extended objects at moderate angular resolution in a reasonable amount of time.As such, LEM will not only transform our understanding of dilute million-degree gas but will be a powerful general-purpose x-ray workhorse observatory in the 2030s.
The LMS microcalorimeter array has a 33′ FOV.The central 7′ region of the array consists of ∼800 transition-edge sensors (TESs), optimized for the 0.3 to 2 keV bandpass, with an energy resolution of 1.3 eV at 1 keV.The rest of the FOV is covered by 4-pixel TES hydras with 2.5 eV energy resolution at 1 keV, 19 as depicted in Fig. 1.The LMS instrument requirements are summarized in Table 1 below.
The overall design of the LMS that meets all of these requirements is shown in Fig. 2. The x-rays are reflected from the 4-m focal length x-ray optic, pass through a magnetic diverter (MD) and infrared blocking filters (BFs), and then focused onto the LMS detectors inside the focal plane assembly (FPA).The detectors are microcalorimeters in which the sensor is a superconducting metal, voltage-biased in-between its superconducting and normal states such that any small change in temperature, causes a relatively large change in current passing thought it.
These changes in current are proportional to the energy of the x-rays, which are measured with very high precision using a superconducting quantum interference device (SQUID).
The MD that is installed around the x-ray beam path is there to minimize the number of background charged particles that are incident on the focal plane.These charged particles (chiefly protons and electrons) are naturally present in the LEM environment and would produce an important background and noise source if they were incident on the x-ray detector.The MD efficiently deflects this contribution outside of the region of the detector without affecting the x-ray throughput.The baseline MD design is based on a similar application for the Athena x-ray integral field unit (X-IFU) and WFI instruments, which uses a Hallbach design comprised of N42H grade BREMAG NdFeB magnets. 20The LEM MD consists of a ring of magnets with a 38 cm inner diameter placed ∼1 m from the detector.In between the MD and the LMS cryostat, there is a filter wheel that will be described in Sec. 6.After the x-rays pass through an opening in the LMS cryostat, they pass through the cryostat aperture assembly, which will be described in Sec.6 and into the FPA (described in Sec. 2).The outer part of the FPA is at 4 K, and inside are the microcalorimeter detector array, a cryogenic anti-coincidence detector, and cold multiplexed SQUIDs that are used to read out the microcalorimeters (described in Secs. 3 and 4).These are all cooled to 40 mK.A cold harness (not shown) runs between the FPA and warm front-end electronics (WFEEs) located at the top of the cryostat that mostly consists of the low noise amplifiers (LNAs) of the differential signals from the SQUID read-out channels.These signals are then sent to the digital electronics and event processor (DEEP) that are electronics boxes directly attached to radiators surrounding the cryostat and shown in yellow in Fig. 2. The warm electronics is described in Sec. 5.The cooling of the system from room temperature down to the microcalorimeter temperature of 40 mK is achieved through the combination of a single (mature) 4-stage pulse tube cryocooler to cool to a temperature 4.0 K 21 and then a continuous adiabatic demagnetization refrigerator (CADR) that provides continuous cooling at 350 and 40 mK, as summarized in Sec. 7.
Section 8 summarizes the overall thermal system design and in Sec. 9 we summarize the instrument mass, power, and data rate, and discuss the implications of the chosen design on cost.In Sec. 10, we summarize the plans to evolve the technical readiness of all parts of the LMS to a NASA technical readiness level (TRL) of TRL-6.
The whole LEM telescope design has a lot of heritage from the Japanese XRISM mission 22 and earlier incarnations of that telescope, which were Hitomi, 23 Suzaku, 24 and Astro-E.These missions were developed as a collaboration between JAXA and NASA as the major mission partners, with key NASA contributions coming from LEM team members being the microcalorimeter, its FPA, and its silicon junction-gate field-effect transistor based read-out, as well the three-stage ADR.The LMS read-out chain has direct heritage from the two flights of the Micro-X sounding rocket. 25Although no meaningful astrophysics data were possible from the first flight due to an avionics failure, the flight successfully demonstrated in space the operation of a microcalorimeter array using TES microcalorimeters, read out using SQUID time-division multiplexing (TDM) for the first time, similar to the type of detectors and readout that the LMS will use.The detectors and TDM read-out survived the flight without issues, and calibration x-rays were successfully read-out during the flight.The second flight was successful and considered flawless, and the data collected are still being analyzed.
The x-ray integral field unit (X-IFU) microcalorimeter instrument, to be flown on ESA's flagship mission called Athena, has been in development for more than 7 years. 22This development has added a lot of maturity to the design of the LMS detection chain architecture with many members of the LMS team participating in this mission.Although optimized for very different x-ray astrophysics observations and thus for a very different x-ray energy range with different performance characteristics, the basic TESs being used in the microcalorimeter array, the TDM multiplexing, and the room temperature electronics are very similar.[28][29][30][31][32][33][34] Fig. 2 Layout of the LMS within the LEM telescope.The left image shows a cross-section of the whole LEM telescope in which the LMS is embedded.The right image shows a magnified view of the region of the LMS cryostat.In this figure, the FPA is not sectioned.
The FPA contains the LEM's cryogenic detector array and its cold TDM readout electronics and it provides the mechanical support, the thermal isolation and the electromagnetic shielding required to operate the sensor array at T0 ≤ 40 mK inside of the instrument cryostat.The LMS FPA design is largely based upon Athena X-IFU FPA design 35 and the prior SPICA-Safari FPA concept, 36 scaled in size and aperture diameter to accommodate the large FOV of the LMS.The overall scaling of the FPA as compared to the X-IFU FPA is well understood.The necessary design work has already taken place to ensure that the magnetic shielding is sufficient, the higher mass can be suspended with a sufficiently high eigenfrequency, and the conductive heat loads through the different temperature stages have been calculated and found to be low enough to be handled by the CADR with plenty of margin.
Table 2 summarizes the conceptual mass and thermal budgets of the pre-phase-A conceptual design, whereas Fig. 3 is a cut-away view of the preliminary conceptual design.The heart of the FPA is the T0 detector assembly, as shown in Fig. 4, which integrates the main sensor array with its time-division multiplexed first-stage SQUID amplifiers, plus the anti-coincidence detector (anti-co) detector mounted in close proximity to the main sensor.The large-format sensor array is mounted on an array of leaf springs (flexures) to absorb differential thermal expansion between the Si chip and Cu structure and maintain alignment during cooldown.Superconducting flex ribbon cables connect the sensor array with the TDM multiplexer chips, which are mounted on six readout panels on the sides of the hexagonal T0 structure.
The coldest stage of the FPA at T0 ¼ 40 mK is thermally isolated from the cryocooler cold tip and the warmest outer stage shield of the FPA at T2 ¼ 4.0 K by a two-layer Kevlar suspension with an intermediate steady mechanical temperature stage T1 ¼ 350 mK, as shown in Fig. 5(a).Each suspension stage combines three suspension sub-assemblies formed by three Kevlar cords.A SQUID assembly is mounted on the bottom of the T1 ring that houses the part of the detection chain to be described in Sec. 4, which are the amp SQUIDs.A high-density superconducting Nb flex harness connects the detector stage (T0) to the AMP SQUID stage (T1) and then continues to connect to large flex-PCBs at the T2 stage.These PCBs contain  resistive bias divider circuits and filters for signal conditioning in the detection chain readout circuit.In addition, the PCBs provide a connectorized termination for the dewar cold harness in the form of mating pads for interposer-style connectors.Within the FPA, the detector is shielded by a combination of a superconducting Nb magnetic shield at T0 and a cryogenic mu-metal (CMM) shield at T2.At the x-ray entrance aperture, there are only thermal infrared filters placed at both T0 and T2.These filters primarily only block IR radiation and otherwise provide some electromagnetic shielding.Figure 5(b) is a cut-away view of the combined Nb and CMM shields.The large-format LEM detector array and its large viewing angle to the x-ray optic require a relatively "open" entrance aperture in the magnetic shields, which limit the achievable shielding effectiveness.FEM analysis has been demonstrated to be able to accurately predict the observed magnetic shielding that is achievable from this sort of arrangement, as shown in Fig. 6(b) for the shields shown in Fig. 6(a). 37FEM analysis of the LMS baseline magnetic shielding geometry predicts a shielding effectiveness of the CMM shield alone of at least a factor of 30, with the limiting case being for an axial external field.This is sufficient to ensure that the field trapped into the Nb shield at cooldown remains less than 2 μT for external fields of up to 60 μT.At operating temperature, the CMM and Nb shield combine to provide a higher shielding effectiveness, with the limiting case being for a lateral field that bends into the conical opening, yielding vertical field components at the edges of the sensor array.In this configuration, as shown in Fig. 6(c), the shielding effectiveness, expressed as the magnitude of the lateral external field to the vertical component of the field at the detector array, has a minimum of ∼2200, with an average over the detector surface of ∼4000, which should be more than sufficient assuming AC fields at a level of 1 μT rms or less and given the low measured susceptibility of the high-aspect ratio TES thermistors planned for LEM, which require almost 300 times less magnetic shielding than Athena X-IFU detectors prior to reformulation. 19igure 6(d) shows how the modeled shielding factor varies over the extent of the LEM focal plane array.Because the shielding factor is limited by effectiveness of the bending into the x-ray entrance aperture, the effective shielding for localized sources (non-uniform fields) can be higher or lower than this, depending upon the location of the source and the resulting position dependence of the field at the FPA.But this is more than sufficient, with a factor of a few margin, at the detector and the SQUID multiplexers, which are the critical locations.

LEM Detector and Anti-Coincidence Detector
At the core of the LMS is a 14k-pixel microcalorimeter array that provides LEM with unparalleled imaging and spectroscopy capabilities (Fig. 7).The microcalorimeter array provides a 33' FOV using 15" pixels and will operate with a bandpass of 0.2 to 2 keV.The central 7' region of array consists of single pixel TESs with ΔE FWHM < 1.3 eV at 1 keV.The remainder of the array comprises 4-pixel hydras with ΔE FWHM < 2.5 eV at 1 keV. 38Hydras consist of four x-ray absorbers, each with a different thermal link to a single TES. 19The link conductances are tuned to produce a unique pulse shape for x-rays absorbed in each pixel.The pulse rise-time is used to determine which pixel absorbed the photon.The use of hydras allows for the extremely large number of pixels needed for the LEM array, without a proportional increase in the number of wires and circuit components that would otherwise be necessary.In total, the array will have 14k pixels but only 4k TESs.The pixels are arranged on a 290 μm pitch and incorporate 0.54 μm thick Au x-ray absorbers that provide unity stopping power at an energy of 1 keV.The detailed design of the LMS microcalorimeter is described by Smith et al. 19 The LMS array was assessed at TRL-5 in April 2023 in a NASA/GSFC Technology Readiness Assessment at TRL-5 and benefits from the technical maturity of the Athena/ X-IFU microcalorimeter, developed by the same team at GSFC, and shares many common design elements and interfaces. 22Much of the TRL-5/6 development work completed for the X-IFU, 39,40 including studies on radiation hardness, 41,42 lifetime, 43,44 susceptibility to vibrations, cosmic-ray mitigation, and energy scale calibration has been incorporated into the LMS design. 45owever, the pixel properties have been re-optimized to achieve improved energy resolution within a narrower energy range.In prototype LMS arrays, we have demonstrated both single pixels and hydras with the necessary properties to meet the LEM requirements.Single pixel Fig. 7 Layout of a 14k-pixel prototype LMS array.
devices and 4-pixel hydras achieved ΔE FWHM ¼ 0.9 and 1.9 eV, respectively, at an energy of 1.5 keV.Position-discrimination in hydra pixels was demonstrated down to 200 eV.These energy resolution and pixel discrimination results and detailed characterizations of the prototype LMS array are described by Wakeham et al. 46 The first full-scale prototype array with the appropriate electrical and mechanical interfaces needed for LEM (Fig. 7) has been fabricated and will be tested in the near future.This array is a precursor to the engineering model (EM) and will demonstrate that the desired performance can be achieved in a full-scale LEM array.Our implementation plan allows for 8 detectors to be fabricated and tested for the engineering model (EM) and 12 for the FM to minimize risk of not meeting all performance requirements.
Given the diffuse and faint nature of LEM's targets, an anti-coincidence detector is crucial to reduce instrument background.Positioned 1 mm directly behind the LEM sensor array, the anti-co flags background events that could be mistaken for a scientific photon within LEM's signal band. 19he dominant cosmic rays are minimum ionizing particles (MIPs) in the form of protons and alpha particles, which deposit energy continuously as they traverse the main detector array and the anti-co beneath it.8][49] The anti-co consists of a 0.5 mm thick Si crystal that is covered with a parallel network of TESs + Al athermal phonon cells (Fig. 8) that collect the energy deposited in the Si by the MIPs.In our full-scale prototype, we have demonstrated the 20 keV lowenergy detection threshold and the 95% live-time required to meet the LEM science requirements.

Cold Readout: Time-Division Multiplexing SQUIDs and Amplifier SQUIDs
Brute-force readout, in which each of the LMS's ∼4000 TESs had its own amplifier chain, would be enormously challenging due to the wire count, heat load, and general complexity of such a system.Instead, the LMS employs multiplexed readout, or the integration of readout signals from multiple TESs into an amplifier channel.The signal currents from the LMS TESs are read out via the technique of SQUID TDM. 50Figure 9 illustrates the basics of the TDM readout scheme.There are N rows ¼ 60 TDM rows in each LMS readout channel.The row-dwell period is 160 ns; thus, each TES's signal current is sampled once per 60 Ã 160 ns ¼ 9.6 μs readout frame.The pulse time-constants of the (thermal) TESs are much slower-on order of milliseconds-so this scheme is able to sample the TES-signal currents with the fidelity needed.Each readout channel has up to 59 "signal" rows (each of which has a TES input) and at least one "dark" row that either reads out a non-TES resistor or whose FE-SQUID-input circuit is disconnected; the dark pixels are used for diagnostics such as the separation of gain variations in the SQUIDs from those in the TESs.
3][54][55][56][57][58] A NASA/GSFC technology readiness assessment (TRA) determined in February 2023 that X-IFU's TDM readout had reached TRL-5.The studies toward TRL-5 for X-IFU included power dissipation, 52,55,59 component area, 52,58 radiation hardness, the co-microfabrication of TDM-SQUID and TES-bias componentry, 52,58 crosstalk, 54 coldindium bump bonding of TDM chips to FPA side panels, 53 two-level row-address switching, 52 and performance demonstrations in integrated assemblies. 53,55he only differences between X-IFU's TDM circuitry and the LEM's are the multiplexing factor (48 for X-IFU versus 60 for the LMS), some electrical-component values (discussed further below), and the form factors of the TDM chips (each X-IFU chip is a 16 × 6 physical array of cells, and each LMS chip is a 20 × 9 array; the TDM pixel sizes are 1.1 mm × 1.7 mm in each case).In an assessment based largely on the similarity of the LMS's readout to X-IFU's, another NASA/GSFC TRA in April 2023 determined that LEM's TDM readout (FE-SQUIDs and amp SQUIDs) was also at TRL-5.
The LMS TDM-readout system was designed around the TES detectors (single-pixel and hydra) described in Sec. 3 and further by Smith et al. 19 The single-pixel TESs and the hydra TESs will use the same TES-bias-loop components • TES-shunt resistor: R shunt ¼ 100 μΩ; • total inductance in the TES-bias loop: L loop ¼ 1560 nH; • TES-bypass resistor: R TES-bypass ¼ 68 mΩ.
With these TES-bias-circuit values, the assumed parameters that are relevant to the design of the LMS readout are • the maximum TES current-slew rate due to a 2 keV x-ray (the maximum energy of interest to LEM) is budgeted to be dI∕dtj max ¼ 0.065 A∕s; • the maximum permitted readout white-noise to stay within the energy-resolution budget, 19 referred to as the TES current noise, is p S I-mux ¼ 12 pA∕ p Hz.
Stability in a TDM readout system requires that the maximum flux change within a readout frame, which occurs on the leading edge of a TES pulse at the highest x-ray energy of interest, remains within the roughly linear range of the FE-SQUID's quasi-sinusoidal input current (I) verses magnetic flux (Φ) coupled to the FE-SQUID curve, or E Q -T A R G E T ; t e m p : i n t r a l i n k -; s e c 4 ; 1 1 7 ; 7 3 6 ΔΦ max ¼ dI∕dtj max Ã t frame Ã M in ≤ X Ã Φ 0 ; where t frame is the frame time, M in is the input coupling of TES current to the FE-SQUID, and X is the fraction of a flux quantum over which the FE-SQUID's response is roughly linear.For t frame ¼ 9.6 μs, the maximum slew rate listed above, and X ∼ 0.30 (a typical value), 56 the equation above yields M in ≤ 995 pH.We have conservatively chosen M in ¼ 820 pH for the LMS.
The budgeted value for the power-spectral density (PSD) of the readout white noise (all sources; non-multiplexed; referred to flux in the FE-SQUID) for Athena X-IFU is p S Φ ¼ 0.32 μΦ 0 ∕ p Hz. Lab demonstrations of TDM have routinely achieved much better noise performance than this 53,55,56,57 but to be conservative we carry for the LMS this same top-level readout-noise budget.In a TDM system, the multiplexed TES-referred readout-noise PSD 59 is E Q -T A R G E T ; t e m p : i n t r a l i n k -; s e c 4 ; 1 1 7 ; 5 9 9 Thus, if the readout noise were at the budgeted PSD of 0.32 μΦ 0 ∕ p Hz, the TES-referred noise would be 11.1 pA∕ p Hz, which is within the 12 pA∕ p Hz requirement of the energyresolution budget.Thus, the LMS readout design is correctly dimensioned.
The FE dc-SQUIDs (FE-SQUIDs) are located on the side panels of the 40 mK LMS FPA (see Fig. 4), on chips that are cold-indium bump bonded to the side-panel carriers.Each of the six side panels of the LMS 40 mK FPA contains an independent 12-channel X 60-row TDM multiplexer.The bump-bonding process needed for X-IFU and LMS was developed at NIST between 2020 and 2022 53 and flight-like X-IFU TDM devices were successfully tested in late 2022. 52aboratory-style TDM test-chips (containing flight-like close-packed two-dimensional arrays of TDM cells but in a wirebondable configuration for easy use in existing laboratory test systems) with the LMS readout parameters described above were fabricated at NIST in July 2023.These chips are planned to be tested with LEM-like TESs in August and September 2023.
Finally, each TDM channel's SQUID-current signal is amplified by a second-stage seriesarray SQUID (amp-SQUID) that consists of hundreds of dc-SQUID elements. 51At the output of the amp-SQUIDs, the readout signals are at appropriate voltage levels to couple to the WFEEs (see Sec. 5).

Warm Front-End Electronics
The WFEE are the analog FEEs that directly interface to the cold circuits, as shown in Fig. 10.The main components of the WFEE are an LNA used to amplify the error signal coming from the AMP squid and a series of digital to analog converter (DAC) to provide biases for various cryogenic components (TES, SQ1, and AMP SQUID).Both the LNA and DACs are provided by an ASIC (application specific IC), where each ASIC chip provides two LNAs and six current DACs.There are three boxes of WFEEs, and each box contains two modules, so six modules in total.There are 6 ASICs in each module and thus 12 LNAs, which then allows for the read-out of the 72 LEM read-out channels.Each module is controlled by the processor in the DEEP via RS-485 and I 2 C interfaces.A prototype ASIC has been developed for the Athena-XIFU, and the performance has been proved to meet the X-IFU and LMS requirements.It is currently undergoing radiation tests.Upon completion of these routine tests, the TRL of the WFEE will advance to TRL-6.A detailed description of the WFEE is provided by Sakai et al. 60

Digital Electronics and Event Processor
The DEEP, also shown in Fig. 10, is the part of the read-out chain in which the signals from each TES are demultiplexed into TES specific streams.Each data stream is then analyzed to detect all x-ray events, discriminate between source pixels (in the case of hydras) and characterize the x-ray events, predominantly by energy and arrival time.There are six DEEP boxes, and each box consists of one row module, three column modules, and one power module.The row module provides the switching signal for SQ1 multiplexers, which it does by generating the row switching timing signals in the FPGA and converting these to differential analog signals using CMOS drivers.The analog voltages are generated using two low-speed DACs.The row module also generates the 125-MHz master clock for itself and the three column modules in the box.The column module has ADCs to sample the TDM error signals.The onboard FPGA uses the error signal to calculate feedback signals for the SQ1 and the amp SQUID, which are output via two DACs.The FPGA also performs the demultiplexing, x-ray event triggering, and signal processing.
The column module has one Xilinx UltraScale Kintex FPGA, 4 14-bit ADCs, and 8 14-bit DACs to cover four TDM channels per module.The main tasks of the FPGA are (a) to demultiplex TDM signals, (b) generate the SQ1/amp SQUID feedback signals, (c) trigger x-ray events, (d) process the events to estimate the x-ray energy, and (e) interface to and from the spacecraft via SpaceWire.The algorithms used to process events are inherited from Astro-E, Suzaku, Hitomi, and XRISM.As none of those instruments employed multiplexing for calorimeter readout, the demultiplexing algorithm is derived from the existing lab electronics.Prototype row and column modules have been developed using commercial equivalent parts and have already demonstrated that they meet the LMS requirements.The DEEP is therefore already considered to be at TRL-6.More detailed information about the design of the DEEP can be found in Sakai et al. 60

Harnesses
Harnesses are an important part of cryogenic instrumentation that are often overlooked in early instrument designs.The harnesses inside the LMS dewar are described in Table 3.All significant heat-loads from these harnesses have been calculated and all accommodation issues have been incorporated into the LMS design.All of the harness types have significant heritage, as listed in Table 3.All harnesses outside the cryostat will be standard shielded twisted pairs.The detection chain harness is specialized to support the high bandwidth and low noise requirements of the readout signals from the detectors.Inside the dewar, these harnesses consist of unshielded twisted pairs in a loom configuration and these looms will be stacked up into groups, which will have thermal heat sinks at each temperature stage and will be connectorized both at the top hermetic interface and at the lower 4.0 K interface.The materials in the wires will primarily be either stainless steel or phosphor-bronze.The harness material for each function is optimized to reduce cryogenic heatload while still preserving the signal integrity required for that subsystem.The harnesses inside the dewar, which provide housekeeping functionality, will follow the design of those used in XRISM and Hitomi.
The CADR high current harness dominates the total harness heat load on the upper stages of the cryocooler.The harness originates from a hermetic connector on the dewar vacuum shell and then passes to a heat sink on the shell, then to a heat sink and a light-tight pass-through on the first shield at 100 K. From the pass-through, it loops over to a connector on the 50 K heat sink.These high current leads are cooled down to 50 K are made from phosphor bronze.Below the 50 K stage, high temperature superconductors (HTS) greatly reduce the harness heat load on the cryocooler.The LMS HTS lead assembly will be similar in many respects to those used in the SXS/ Hitomi and Resolve/XRISM instruments. 22,24However, the LMS has a larger number of leads, and the planned lead design is shown in Fig. 11.For the LMS, these are described in more detail in Osborne et al. 21he housekeeping harnesses are regular twisted pair wires in looms and support the low bandwidth and low noise readout of thermometry and heaters.
6 Aperture Assembly and Filter Wheel

Aperture Assembly and Blocking Filters
The LMS aperture consists of a series of openings in stages at temperatures ranging from 260 K to 40 mK as partially in Fig. 12.The aperture assembly (ApA) defines and constrains these openings, with the primary purpose of blocking radio-frequency, infrared, visible, and ultraviolet radiation via thin-film BFs while allowing x-rays to pass through with minimal absorption.Overall, the ApA is a system of barriers, baffles, filter carriers, and filter mounts that incorporates these filters and inhibits their potential contamination while also complying with budgets for stray light and heat loads at the different dewar stages.The design of the LMS aperture hardware benefits from the experience with the Hitomi/SXS and XRISM/Resolve apertures 61 and photon-noise analysis of preliminary Athena/X-IFU designs. 62he LMS has five BFs configured, as shown in Fig. 13 and described in Table 4.To take advantage of the substantial filter development completed for the Athena/X-IFU, 63 the LMS filter designs are based upon the latest X-IFU baseline designs, using identical thin-film composition Fig. 11 This drawing shows how the high temperature superconducting magnet lead harness has been designed to feed through from 50 K to 4 K, with heat-sinking at 18 K, including the terminations.
(45 nm polyimide and 30 nm Al) supported by metallic meshes (BeCu for all filters except the 40 mK, which uses Nb) with hexagon cell widths of ∼5 mm.The clear aperture requirements for the LMS filters are similar to those for X-IFU. 24,64he three warmer filters (mounted to stages at 260, 100, and 18 K) will be installed in carrier rings with decontamination heaters and control thermometers, similar to SXS and Resolve.This design, as shown in Fig. 13, ensures that the three outer filters can be heated above the temperatures of the shields they are connected to with relatively low power (W scale).The good thermal conductivity across the metal meshes ensures good thermalization across the filters.The outer filter, which faces the interior of the spacecraft, will be controlled so that no portion of the filter is Fig. 13 (a) Schematic mounting of the film and supporting mesh inside the two-part frame of an Athena/X-IFU filter, on which the LEM filters will be based.1 is the outer frame, 2 is the inner frame, 3 is the supporting mesh and 4 is the thin polyimide/Al foil (45 nm polyimide/30 nm Al).(b) LEM filter carrier design that allows isolation of the filter temperature from the heat sink due to the low thermal conductance between the two frame parts.<300 K to inhibit sticking of organic volatiles.The heaters on the 100 and 18 K stages are intended for use during cooling down of the dewar to ensure that the surrounding baffles cool before the filters but could also be used for decontamination.Because larger filters are needed for LEM than were flown on Hitomi/SXS or have been yet fully qualified for Athena/X-IFU, the ApA is considered to be at TRL-5.But the mesh-supported filters are able to scale to a larger filter size without necessarily becoming more fragile and thus there is a relatively straightforward engineering path needed to establish TRL-6.Prior to going into the implementation phase, the LEM ApA team will validate the LMS mechanical and thermal designs of filter-carrier assemblies integrated into the associated mounts via vibration tests, thermal-cycle tests, and thermal characterization.

Filter Wheel Assembly
The filter wheel assembly consists of the filter wheel mechanism (FWM) with various filters attached and the mechanism control electronics (MCEs) that control the FWM.The FWM is attached to the LEM telescope optical bench and is situated in front of the FPA, and the mechanical design is depicted in Fig. 14.This mechanism is needed to allow different filters to be inserted into the x-ray beam depending on the astrophysical observation that is being made, to ensure that the detector performance and throughput does not suffer from too high a flux of x-rays.The FWM has seven positions, including one open, one closed, and one for radioactive source and four filters with different transmissions, moved via a single actuator.Optical BFs on this filter wheel are desirable to limit the optical load from the bright UV photons that are emitted from some x-ray sources.A neutral density filter will also allow for a reduction of count-rate while looking at, for example, some supernova remnants.
Filter wheels have flown on other space telescopes and including x-ray missions such as Hitomi 22 and IXPE. 65For the LEM FWA, the design incorporates elements from current and past missions such that all engineering that is necessary maintains a TRL of TRL-6.The filter designs on the FWA are based upon Athena filters but with a slightly larger diameter.
The FWM is controlled by the MCE, and Table 5 describes the overall environment, mass, and power.
The MCE is a two-board design.This basic electronics box provides typical electronical control functionality of the FWM, and the electronics have been chosen that are space qualified and reliability.The technical readiness is TRL-6.
Fig. 14 The FWM filter in path of the x-ray beam.7 Cryogenic Cooling System Summary The LMS cryogenic cooling system is depicted in Fig. 2. The architecture evolved from a cooling system concept that was developed for the Lynx x-ray microcalorimeter. 66There is also a lot of heritage from previous microcalorimeter missions, such as Astro-E, Suzaku, 24 and Hitomi. 22he cryogenic cooling system consists of a cryocooler, a dewar, and a CADR.The dewar design was developed by Lockheed Martin 21 and makes use of a reentrant thrust tube design made out of composite tube support structures that have flight heritage from Gravity Probe-B 67 and the Wide-field Infrared Survey Explorer (WISE). 68The dewar outer shell is passively cooled to 260 K. Two thermal shields at 100 and 18 K are actively cooled by a cryocooler as well as the 50 and 4.0 K cooling stages.This cooling is provided by a four-stage pulse tube cryocooler. 21ooling is needed at 4.0 K primarily to remove the heat generated by the CADR and the FPA and also to remove conducted heat loads from the signal-chain harness and structural support of the whole 4.0 K core as well as some other minor headload sources.The LMS cryocooler designed by Lockheed Martin is based on another cryocooler that was developed as part of advanced cryocooler technology development program (ACTDP). 69The ACTDP cryocooler has since been tested and qualified for a Balloon flight 70 by ASTHROS, 71 which will be launched in 2023.Table 6 provides a summary of the expected cryocooler heat loads from thermal modeling of the LMS design, and the power needed to operate this cryocooler is 626 W. Because the CADR heat load already incorporates 100% cooling power margin at 40 mK and 50% at 350 mK, there is no need to double-count the margin with additional margin specifically at the cryocooler level from the CADR.The cryocooler control electronics (CCEs) is fully redundant to provide a reliability of >95% for the CCE over 5 years.Together with a TMU reliability of >98.3%, the overall cryocooler reliability is >93% over the LEM mission lifetime.The CCE design is based on the modular advanced cryocooler electronics (MACEs) system developed by Iris Technology Corporation. 72The Iris MACE can provide accurate command and control for cryocoolers requiring up to 1000 W. Both cryocooler and CCE are TRL-5, and a funded plan exists to advance to TRL-6 before the LEM Mission preliminary design review (PDR).
Continuous cooling is provided at 40 mK for the microcalorimeter detectors and also at 350 mK by a CADR with seven salt pills.These salt pills are split between two stages, one for cooling from 4.0 K to 350 mK and the other to cool from 350 to 40 mK.The detailed design is described by Jahromi et al. 73 The components salt pills and heat switches are all high-TRL optimized in an arrangement to best provide the needed LEM cooling powers while dissipating heat relatively uniformly.The component salt pills and most heat switches have flight heritage from Astro-H/Hitomi and XRISM.The CADR is controlled by electronics (adiabatic demagnetization refrigerator controller), which has flight heritage from Astro-H and XRISM.

LMS Thermal System Design
The LMS thermal control system (excluding the LMS cryogenic cooling system) removes the power that is predominantly from the read-out electronics and cryocooler compressor at an operating temperature of ∼260 K.The total power from the electronics boxes is given in Table 6.The highest power electronics, the DEEP and CCE boxes, are mounted directly to five radiators that surround the cryostat.The three WFEE boxes are mounted above the top of the dewar to keep the signal chain harness as short as possible and they are connected to a radiator by thermal straps.The cryocooler compressor is also directly connected to a radiator.The warm flange on the top of the dewar is connected to a radiator by two heat pipes.There are MLI covers on both the Sunfacing and the spacecraft-facing sides of the shades that a block a direct path to the LMS dewar at all times.

System Design
The block diagram for the LMS is encompassed in the overall LEM observatory block diagram, as shown in Fig. 15.The diagram shows how the whole observatory has been designed to accommodate the payload, which primarily consists of the x-ray mirror assembly (XMA) and the LMS.It shows the two redundant CCEs that are needed to power the cryocooler and the segmented WFEEs and DEEPs.The DEEPs are responsible for sending out the data signals and receiving commands from the spacecraft.Power for all the electronics boxes is received directly from the spacecraft.
We have developed a detailed master equipment list for the LMS and have made detailed estimates for the required mass, power, and data rate that are detailed in Tables 7 and 8 below.Our current best estimate for the mass is 368 kg.This is dominated by the mass of the dewar and cryocooler (122 kg) and the mass of the electronics boxes (113 kg).The total average power needed during normal operation is ∼1.3 kW.The total power is largely driven by the power needed for the cryocooler and the DEEP electronics box.
The overall mass is estimated to be 372 kg, including the thermal and structural components of the LMS connected to the optical bench in addition to the main cryostat and electronics.This mass is more than six-times less than the Athena Science Instrument Module prior to reformulation. 22The lower mass is largely achieved through having the simple single-instrument architecture with a microcalorimeter cooling system design that has just one high reliability cryocooler, rather than the large number of cryocoolers previously baselined for the Athena X-IFU.Overall, the low mass, very modest power dissipation, low data rate and shorter focal length translates into lower relative complexity for accommodating the LEM microcalorimeter instrument than for Athena, allowing LEM to fit comfortably within the Probe cost limit.

Technical Readiness Level Advancement Plan
Each of the critical component technologies that are part of the LMS is listed in Table 9.All these technologies are at least at TRL-5 74,75 and have completed demonstrated component and/or brassboard validation in relevant environment as described in the prior sections.These TRLlevels in Table 9 were confirmed at an independent NASA/GSFC Technology Readiness Assessment in April of 2023 except for the anti-coincidence detector, which was TRL-4 at that time.For TRL-6, 74,75 a system/subsystem model or prototype demonstration in a relevant environment is needed.There remain some milestones to complete the various TRL-6 component and sub-system level development.These are focused on adapting high heritage components already developed specifically to meet the LEM requirements.This work is on-going and expected to be completed well before the instrument PDR.The LEM sensor array and anti-co detector are on track to achieve TRL-6 by mid-2025.Final component-level TRL-6 verification tests will be completed by the end of 2024.Cosmic-ray background tests previously conducted on the Athena/X-IFU microcalorimeter will be repeated on the high-fidelity LMS to validate the array's thermal design.Vibration testing and thermal cycling of high-fidelity detector and anti-coincidence detector prototypes, mounted to flight-like sub-assemblies, are planned for phase-A in mid-2024.The arrays will undergo pre-and post-vibe testing to confirm that the yield and detector performance remain unchanged.The array will be connected to two high-fidelity side panels with bump-bonded TDM multiplexor chips, enabling the readout of 12 TDM channels.Flight-like second stage amplifier SQUID chips will be integrated at the 350 mK stage of the platform.

Cold Readout
The cold readout (TDM FE-SQUIDs and amp-SQUIDs) will reach TRL-6 by mid-2025.During 2024 and early 2025, a high-fidelity 40 mK FPA will be built and tested as described below for the TRL-6 system level tests.We will fully populate and test two readout side panels; each side panel will be in its flight configuration with four bumped 3-column X 60-row TDM chips.The 350 mK stage of our TRL-6 platform will include high-fidelity amp-SQUIDs for the 24 active TDM-readout channels.The suite of readout-specific tests will include verification of the required readout noise and common-mode rejection of the LMS differentialreadout scheme.

Mechanical FPA
To advance to TRL-6, the LEM design scaled from X-IFU needs to be consolidated and some of the key interfaces need to be adapted.In particular, the design of the interface between the LEM anticoincidence detector and FPA needs further refinement.The exact routing of harnesses within the FPA and the external signal chain harness also needs refinement.A demonstration of the 50 mK assembly with the full-size LEM detector chips is needed to verify the eigenfrequencies during vibration and for mechanical testing under thermal cycling.The Kevlar suspension with the higher precise LEM masses and suspension will be demonstrated and again tested for the eigenfrequencies and demonstration of ability to withstand the launch loads.

Continuous Adiabatic Demagnetization Refrigerator
The technology development plan for the CADR is focused on adapting the high heritage components already developed for XRISM to meet the specific LEM requirements.It includes vibration testing and qualification of the internal mechanical support for some stages.This is accomplished via vibration testing of dummy masses suspended identically to the baselined stages to achieve TRL-5.Development of a five-stage CADR began in November 2022, consisting of two LEM-like upper parallel stages for continuous platform cooling at 1 K and three serially configured lower stages.There will be further development of stages between 1.2 K and 350 mK specifically for the LEM design including the optimization of heat switches.

Blocking Filters and Aperture Assembly
To raise the TRL to 6, the mechanical and thermal designs of EM filter-carrier assemblies will be validated and integrated into the associated mounts via vibration tests, thermal-cycle tests, and thermal characterization.Phase A effort will deal with the extremes-the main-shell filter and the 40-mK filter.The main-shell filter is a priority because of its size and need of continuous heating for decontamination.The 40-mK filter is the next highest priority because of the different material of its mesh (Nb instead of BeCu) and because the equivalent filter for X-IFU is about half the diameter of what is needed for LEM.The remaining filter assemblies will be verified in phase B, prior to PDR.

Cryocooler
Both the cryocooler and control electronics are currently at TRL-5, with a plan in place to raise the TRL-6 by the 2026.For the cryocooler, there is a need to build a new compressor that is "build-to-print." 3He will be used to achieve the required cooling power at 4.0 K, in a demonstration that will verify the cooling power at each of the four-stages of the cryocooler.The dewar is TRL-6, but some additional engineering work will be carried out to demonstrate the needed cylinder support shrink fit cooling between stages for the specific LEM design.The cylindrical shrink fit connections use the differential thermal contraction of different materials to provide excellent thermal contact upon cooling.These tubes are machined to a tight tolerance, in a compact geometry, as has been demonstrated in prior space cryostat designs. 67,68.7 System-Level TRL-6 Tests An important part of TRL-6 is to complete system-level tests.While more than a dozen complete working systems consisting of TES microcalorimeters and TDM multiplexed read-out have been fielded by the NIST and GSFC cryogenic detector groups, including the sub-orbital Micro-X payload, it is necessary to have a full read-out chain test with high-fidelity components that meets the LEM requirements of the critical components and that only need to be scaled in number for a full system-level TRL-6 demonstration.This system must also demonstrate that it meets the critical interface requirements of the other LMS sub-systems.An integrated system-level demonstration will be carried out at GSFC in 2025 to verify the full detection chain using the differential readout architecture baselined for the LMS.This demonstration will involve a high-fidelity LMS array and high-fidelity side-panels with LEM-like 2-D TDM multiplexing chips designed to meet the form, fit, and function requirements of LEM.The system will utilize differential harnessing, prototype LMS room temperature electronics, and amp SQUIDs operating at 350 mK (as planned LEM), to provide a validation of the full detection chain prototype prior to the Engineering Model development in the mission Phase-B.In parallel, a similar system-level demonstration model for the Athena X-IFU will be developed, utilizing an Athena (LEM-like) mechanical FPA with a TES microcalorimeter read out using TDM multiplexing and a differential architecture as well.The components used will be similar to the GSFC demonstration.Currently, LEM is a proposed mission concept.After demonstration of TRL-6 for all the critical technologies, if the proposal is accepted, the plan for the LMS implementation is to develop a full EM of the 4-K core and the entire read-out detection chain, as well as the aperture assembly prior to building the flight model.There will also be flight spares of all the critical components of all LMS subsystems.

Conclusions
We have developed a detailed design concept for the LMS that meets the LEM technical requirements, and is designed using mature technologies.We have described a solid plan to complete the maturation to TRL-6 for all critical technologies.The key driving technologies, such as the microcalorimeter array, the TDM multiplexed read-out, and the mechanical FPA, have a high maturity level due to the decades of support from the x-ray astrophysics community and also the leveraging of a large amount of support by NASA and ESA in the technology developments for the Athena X-IFU.The cooling system also leverages components from years of developments of ADRs for prior astrophysics missions, and an advanced development of the CADR concept also supported by NASA.It utilizes a single highly reliable 4-K cryocooler technology that is able to accommodate the heat loads of the LMS with all the appropriate margins for a space mission and is able to do so using an existing and proven compressor design for which no new development is needed.The mass of the LMS and the power needed to operate the instrument are relatively modest and well within the capabilities of the LEM spacecraft.The capabilities of the LMS with its shorter focal length and optimization for lower energies, opens up a whole new realm of astrophysical observations and will allow us to fill in a major missing puzzle piece in our understanding of cosmic ecosystems.
Nicholas A. Wakeham is an assistant research scientist at the University of Maryland Baltimore County working at NASA Goddard Space Flight Center.He received his PhD in low temperature condensed matter physics from the University of Bristol in 2013 and was a postdoctoral researcher at Los Alamos National Laboratory from 2013 until he became a NASA Postdoctoral Fellow at GSFC in 2016.His interests are exotic electronic states, unconventional superconductivity, and superconducting detectors.
Biographies of the other authors are not available.

Fig. 1
Fig. 1 Layout of the LMS focal plane array.The (blue) inner 7′ consists of single 15″ pixels with <1.3 eV energy resolution, and the outer array consists of 4-pixel hydras, where each pink square represents a 4-pixel hydra with pixel with <2.5 eV energy resolution.

Fig. 3 A
Fig. 3 A cut-away view of the LEM FPA with the hexagonal 40 mK detector assembly visible inside the nested 40 mK Nb shield, 350 mK heat-sink ring, 4.0 K CMM shield, and 4.0 K mechanical housing.

Fig. 4
Fig.4Mechanical model of the hexagonal 40 mK (T 0) stage.The hexagonal detector wafer sensor array on the front surface, epoxied to an array of leaf springs (flexures) that absorb any mismatch in the coefficient of thermal expansion while maintaining a stable position.Wirebonds are made from the detector wafer to six flaps of corner-turning flex on which two-layer Nb wiring connects to the six panels of multiplexed cold read-out, using TDM.A thermal strap connects this stage to the CADR.

Fig. 5
Fig. 5 (a) The two-layer Kevlar suspension that suspends the 40 mK T0 stage from the 4.0 K T2 stage with an intermediate T1 ring nominally at 350 mK.Each three-cord Kevlar sub-assembly constrains 2 degrees of freedom, with three assemblies combining to realize a stiff strong suspension that ensures the stability of the position of the T 0 stage relative to T 2 after thermal cycling.(b) The two-layer magnetic shield applied in the LEM FPA, with a superconducting Nb shield at the T 0 stage and a CMM shield at the T 2 stage (separated by the T 1 ring of the thermal suspension, not shown in this cut-away view).

Fig. 6
Fig. 6 LMS FPA magnetic shielding.(a) A photograph of the type of magnetic shields that will be used in the LMS FPA that were developed and tested for the SPICA-Safari instrument concept.(b) This graph shows the excellent agreement between experiment and finite element modeling that has been demonstrated, for the on-axis ratio of the normal component to the internal magnetic field at the detector as a fraction of the applied external field.(c) This plot shows a logarithmic plot of the expected shielding factor within the LMS FPA.(d) The expected shielding factor across the 2-D LEM array.

Fig. 9
Fig.9Cartoon circuit schematic of TDM operation.Each TES's signal current is inductively coupled to an FE dc-SQUID (FE-SQUID).A dc-SQUID is a magnetic-flux sensor that has two Josephson junctions in a superconducting loop.One of these SQUIDs at a time per readout channel is activated via sequential operation of superconducting switches.When a switch is opened, its SQUID is activated and its TES's current is passed up the channel's readout chain.When switches are closed, their SQUIDs are shorted out and thus do not pass the signal current from their TESs.The TESs are dc-biased and are always on.Rows are switched every 160 ns.The switchactivation ("row-address") signals are linked across readout channels, such that logical rows of SQUIDs are enabled serially in time while columns are read out in parallel.The FE-SQUID currents are amplified by a second-stage series-array SQUID (amp-SQUID; 51 not shown here) on the LMS FPA's 350 mK stage and then passed to room-temperature electronics.

Fig. 10
Fig. 10 Block diagram of the WFEE and DEEP along with the cold electronics.The diagram shows a single TDM channel only.All analog signals (the solid lines and the dashed solid line) are differential.

Fig. 12
Fig. 12 Notional layout of the aperture assembly, showing the placement of the filters from 260 to 4 K. Details of the interfaces from each filter to its baffled mount are not shown.Water vapor diffusing out of the multi-layer insulation is gettered by a labyrinth of cold baffles.

Table 1
The LMS instrument requirements.

Table 2
Key FPA technical properties.

Table 3
Table describing the various LMS harnesses inside the cryostat.

Table 4
Properties of the series of five optical BFs.

Table 5
LEM filter wheel assembly environment, mass, and power.

Table 6
Summary of the heat loads at each cooling stage of the pulse-tube cryocooler.The total heat loads for each temperature stage are shown in bold.
Fig. 15 Block diagram of the LEM telescope.

Table 7
The mass and power of the main components of the LMS.The sums of the mass and power contributions are provided in bold at the bottom of the table.

Table 8
Breakdown of the data rate for the LMS and LEM.

Table 9
Component technology readiness level of all critical technologies in the LMS.