The sensitive detection of photons in the infrared regime of the electromagnetic spectrum is an essential task. Because of their low power, infrared (IR) photons can not be directly detected with a photon detector. Therefore, in the infrared spectrum, thermal detectors are almost exclusively used. As thermal detectors transduce the absorbed photons into heat, the power of absorbed infrared radiation is then measured by the increase in temperature. The three basic building blocks of thermal detectors are i) a radiation absorber, ii) a thermal isolation, and iii) a thermometer. Available thermal detector types differ in the way the photothermally induced increase in temperature is measured. Some of the common thermometer techniques are photoacoustic (Golay cell), thermoresistive (bolometer), pyroelectric, or thermoelectric (thermocouple). However, to this day, the sensitivity of state-of-the-art uncooled thermal infrared detectors is still several orders of magnitude above the fundamental photon noise limit.1 The detector performance can be significantly improved by cryogenic cooling, as e.g. for liquid helium cooled bolometers. However, for the majority of applications, cryogenic cooling is impedimental and therefore uncooled thermal detectors are most widely used. The Golay cell is the most sensitive commercial uncooled thermal detector with a sensitivity of around 100 pW/rtHz. Due to their lower price, pyroelectric detectors are widely used and reach typical sensitivities of the order of 1 nW/rtHz.
As a promising alternative, it has been proposed to build uncooled thermal detectors based on micromechanical resonators whose resonance frequency is highly temperature sensitive.2 It has since been shown that thermal infrared detectors with a sensitivity of a few nW/rtHz can be obtained with quartz bulk acoustic wave resonators.3, 4 Similar sensitivities have been reached with piezoresistive nanoplate resonators.5–8 And sensitivities below a nW/rtHz have been obtained with micromechanical piezoelectric bridge resonators.9, 10 For the application as IR detector arrays, nanomechanical paddle resonators offer the required small footprint. With such torsional paddle resonators sensitivities of a few tens of pW/rtHz have been obtained.11, 12 Another promising design is based on micromechanical shape memory polymer resonators.13
The thermal response of all the above listed micro- and nanomechanical thermal infrared detectors is mainly coming from the thermal response of the elastic modulus of the resonator material. In contrast, in micro- and nanomechanical string resonators the resonance frequency is determined by the tensile stress. A change in temperature causes a strong change in stress due to the thermal expansion of the resonator, resulting in an extraordinary temperature responsivity.14–16 Nanomechanical string and drum resonators made of silicon nitride have therefore successfully been used to analyse picograms of sample material by photothermal infrared absorption spectroscopy.17–20 It has further been shown that it is possible to detect and analyse individual nanoparticles with such nanomechanical string resonators.21, 22 Recently, it has been shown that it is possible to reach single-molecule sensitivity with stress-optimized silicon nitride drums, reaching a record sensitivity of a few tens of fW/rtHz in the visible regime.23 The prospect is promising, that a nanomechanical drum resonator has an intrinsic sensitivity limit below the photon-noise limit, which for an uncooled IR detector of this size is in the order of 1 pW/rtHz.24 A very similar detector design reaching sensitivities of 7 pW/rtHz in the visible regime has very recently been presented based on graphene drum and trampoline resonators.25
The relative responsivity, which is defined as the relative resonance frequency change per unit power, of a circular drum resonator with thickness h for a point heating source in the drum center is given by20
with the optical absorptivity β, the thermal expansion coefficient α, Young’s modulus E, thermal conductivity κ, tensile stress σ, and Poisson’s ration ν. This analytical model has been validated by FEM, where it was also shown that it’s a good approximation for rectangular drums with a model error estimated to be below one percent.20 From (1) we can draw three main conclusions: the relative responsivity of a square drum i) improves for thin drums, ii) improves for low tensile pre-stress, and iii) is independent of its lateral size. The latter fact is of particular interest because it allows the tuning of the thermal response time of the detector, which scales with size, without affecting the responsivity. In order to obtain a high responsivity, our drum resonators are fabricated from 50 nm thick low-stress silicon nitride (SiN). The SiN drum is then covered with an absorber thin film. A schematic drawing of our detector is depicted in Figure 1.
The infrared detector chip basically consists of a squared silicon nitride drum resonator with a fully covered absorbing layer and metal structures for electronic transduction. The fabrication is based on single silicon wafer with a thickness of 370 μm and a double side coating by use of low pressure chemical vapor deposition (LPCVD) with a 50 nm thick layer of nonstoichiometric silicon nitride (SiN). Initially the tensile stress of the SiN layer was 150 MPa. A conventional UV lithography was used for defining the detector chip structures in a photoresist. The metal electrodes (Cr/Au = 5 nm/100 nm) on top of the drum resonator were deposited by use of a physical vapor deposition (PVD) process with chromium as adhesion layer. The SiN drum was structured from the backside, first with a reactive ion etching (RIE) step removing the backside SiN layer for the 1 mm× l mm drum window opening. In a second step the underlying silicon was etched with potassium hydroxide (KOH). An absorbing thin film of ~14 nm was deposited to the final SiN drum resonator from the backside.
A microscope image of the SiN drum with which the presented results were obtained is shown in Figure 2a. The inductive transduction was integrated with two separate Au electrodes, one for actuation and one for detection. Figure 2b represents the absorption spectrum of the SiN/absorber drum, measured by FTIR. The detector has an absorptivity of β ~ 0.32 over a broad spectral range from 5 μm to 20 μm.
A schematic of the experimental setup is shown in Figure 3. The measurements were performed in vacuum at a pressure below 1 × 10–3 mbar. The drum resonator was operated in an oscillator mode produced by a phase-locked loop (PLL), created with a lock-in amplifier (Zurich Instrumentsm, HF2LI). The infrared light was produced by a globar light source (Arcoptix ArcLight IR). All measurements were performed with a bandpass filter (9.5 μm and bandwidth of 500 nm) in the IR light path.
RESULTS & DISCUSSION
Figure 4a shows the frequency signal over time. From the corresponding Allan deviation curve in Figure 4b an optimal value of σA = 5.5 × 10–7 at a noise bandwidth of 25 Hz can be extracted. The frequency response of the drum to IR light with a wavelength of 9.5 μm is shown in figure 5a). The incident power of 800 nW causes a frequency detuning of ~ 20 Hz. This results in a measured relative responsivity of R = 20 Hz / 72940 Hz / 800 nW = 343 W–1.
One figure of merit for an optical detector is the noise equivalent power (NEP), which can be calculated as follows
Based on (2) one can now calculate the resulting . This NEP corresponds to the situation where the IR spot is fully filling the drum area. From figure 6b we can see, that the beam spot size has a large effect on the responsivity. In fact, assuming an IR beam spot size smaller than ∼ 100 μm, the responsivity would be roughly a factor of ten higher. Hence, for an optimized IR spot size an NEP ≈ 30 pW/rtHz could be expected.
The thermal response time of the SiN drum detector was analysed by the “90/10 method”.26 Therefore the rise time was extracted from a step signal taking the temporal difference were 10 and 90 percent of the frequency shift are reached, as shown in figure 5b). The fall time of τr = 35 ms results in a response time corresponding to a first order low-pass filter of τ= τr/ln(9) = 17 ms. The obtained time constant of τ = 17 ms is faster than the 40 ms integration time required to reach the optimum Allan deviation. Hence, the presented detector is frequency limited by the noise bandwidth.
We have demonstrated the application of SiN drum resonators as uncooled nanoelectromechanical IR detector. The detector principle is based on the thermally induced detuning of the resonance frequency. Comprising a broad spectral absorber, we obtained a NEP of 320 pW/rtHz over the IR range from 5μm to 20 μm. FEM simulations of the IR spot size and related thermomechanic response show, that the NEP can be significantly improved by reducing the incident beam diameter. Considering a reduction of the spot size to less than 100 μm, an NEP of 30 pW/rtHz could be expected. The detector responsivity can be further improved by lowering the initial tensile stress of the SiN using for instance oxygen plasma or sputtered thin films with compressive stress.27, 28 Assuming the stress reduction process does not change the noise values, an enhanced responsivity can further improve the sensitivity towards the fundamental limit.2
We thank Michael Feiginov and Josiane P. Lafleur for the helpful discussions, and Johannes Steurer for his support with the electronic design. We further thank Sophia Ewert, Michael Buchholz, and Patrick Meyer for their assistance with device microfabrication. This work has received funding from the company Invisible-Light Labs GmbH. This work has received funding from the European Research Council under the European Unions Horizon 2020 research and innovation program (Grant Agreement-716087-PLASMECS).
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