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This PDF file contains the front matter associated with SPIE Proceedings Volume 6666, including the Title Page, Copyright information, Table of Contents, Introduction (if any), and the Conference Committee listing.
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There is a broad range of applications for lightweighted components made from ZERODUR(R) glass ceramic. The main
markets are secondary and tertiary mirrors for astronomical telescopes, mirrors and structural components for satellites,
and mechanical structures for industrial applications, mainly in microlithography. Prominent examples from astronomy
are VLT-M3, GEMINI-M2, SOFIA-M1, MAGELLAN-M2, MMT-M2, and METEOSAT-SEVIRI. At SCHOTT
components with blind or undercut semiclosed holes are manufactured, typically with circular, hexagonal, rectangular or
triangular shapes. The classical grinding process results in weight reduction factors of about 70 %. By additional acid
etching technologies even higher lightweighting factors and rib thicknesses below 1 mm have been achieved.
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In some applications mirrors and support structures from the zero expansion glass ceramic material ZERODUR(R) have
to endure mechanical loads, e.g. rocket launches or controlled deformations for optical image correction. Like for other
glassy materials the strength of glass ceramics is dominated by its surface condition. Similar to other glass ceramics
ZERODUR(R) has higher strengths than glasses for comparable surface conditions. For the design of ZERODUR(R) parts
well known rules of thumb for its strength are not sufficient in any case. So new information and data with enlarged
sample sets and hence better statistics have been collected to improve the understanding of its behavior under mechanical
loads. Finally an outlook is given on the application of ZERODUR(R) in ambitious current and future space projects.
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This paper discusses athermal glass designed by Schafer using our proprietary GlassDESIGNTM (SGD) code. The glass formulations are dictated by choice of suitable material and application merit functions. The glass designs are subsequently manufactured for Schafer by SCHOTT North America. As an example we have designed and produced more than one-half dozen glasses with near-zero optical path difference in the visible and near-infrared portion of the spectrum. Such glasses have application for gratings, fibers, lenses and windows.
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The demand for progressively more powerful lasers has caused those employing side-pumped laser designs to become
acutely aware of pumping efficiency and performance. Additionally, precision applications demand beam stability and
uniformity for the lifetime of the laser flash lamp. The use of highly diffuse, high reflectance pump chamber reflectors
such as Spectralon(R)‡ have been shown to amplify overall power and performance. Spectralon is used in a wide range of
side-pumped applications for its superior optical characteristics and design flexibility but stated damage thresholds of
approximately 4 J/cm2 have limited it to lower power applications. To increase energy tolerances, initial damage
thresholds are defined through mathematical simulation. A general form of the heat equation is studied numerically to
develop a theoretical model of Spectralon's damage threshold. The heat equation is discretized using the Euler method.
Secondly, process modifications are performed to test for increased material durability and to physically reproduce
initially defined theoretical parameters.
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Chemical Vapor Composite (CVC) Silicon Carbide (SiC) material has demonstrated superior optical polishing properties
and high specific stiffness characteristics. These unique characteristics make CVC SiC a highly desirable material for
aerospace reflective optics applications. The lack of material fabrication processes for CVC SiC has hindered the
introduction of this material into the aerospace marketplace. Traditional methods of fabrication such as diamond
grinding and lapping have proven to be expensive for CVC SiC material in aperture diameters that approximate 25cm or
larger. Because of the extreme hardness of CVC SiC, the material removal rates are low and therefore larger size parts
become very time consuming and thus cost prohibitive. Over the past two years several development efforts have been
focused specifically toward fabrication technologies and methods to enhance the economical producibility of CVC SiC
material. The results of these development efforts have revealed viable economical fabrication processes for CVC SiC.
These fabrication processes have demonstrated material removal rates that are vastly greater than that of traditional
diamond grinding and lapping process. This paper describes fabrications technologies and processes and material
removal rates for fabricating monolithic, ultra pure, optical grade CVC SiC material.
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SPICA (Space Infrared Telescope for Cosmology and Astrophysics) is a Japanese astronomical infrared satellite project
with a 3.5-m telescope. The target year for launch is 2017. The telescope is cooled down to 4.5 K in space by a
combination of newly-developed mechanical coolers with an efficient radiative cooling system at the L2 point. The
SPICA telescope has requirements for its total weight to be lighter than 700 kg and for the imaging performance to be
diffraction-limited at 5 μm at 4.5 K. Material for the SPICA telescope mirrors is silicon carbide (SiC). Among various
types of SiC, primary candidates comprise normally-sintered SiC, reaction-sintered SiC, and carbon-fiber-reinforced
SiC; the latter two have been being developed in Japan. This paper reports the current design and status of the SPICA
telescope along with our recent activities on the cryogenic optical testing of SiC and C/SiC composite mirrors, including
the development of an innovative support mechanism for cryogenic mirrors, which are based on lessons learned from a
SiC 70 cm telescope onboard the previous Japanese infrared astronomical mission AKARI.
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Over the last few years significant progress has been made in the development of silicon carbide (SiC) for mirror
applications. These improvements include lightweighting techniques, higher production yields, and larger diameter
apertures. It is now necessary to evaluate and address the systems engineering challenges facing this material to ensure
space qualification and integration into future space applications. This paper highlights systems engineering challenges,
suggests areas of future development, and proposes a systematic path forward that will outline necessary steps to space
qualify this new material.
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Silicon carbide mirrors are sought for a variety of aerospace applications. While optical polishing techniques are straight
forward for flat and spherical surfaces, material removal rates for this hard, brittle material are too low for affordable
processing of conventionally machined, ground, or as-produced surfaces. The problem is more severe for aspheres.
This paper reports on the use of picosecond pulsed laser ablation, combined with iterative metrology, to shape the SiC in
a manner that will reduce cost and lead time for mirror fabrication. The goal is to exploit relatively gentle, non-thermal
ablation to produce arbitrary surface shapes in SiC that are damage free and that minimize subsequent polishing time.
To apply the technology, detailed data must be developed to characterize laser-material interaction, the threshold for
ablation, and the dependence of the effective "tool shape" on laser operating parameters and firing patterns. An
algorithm can then be developed to calculate optimum laser guidance and firing commands for removal of the required
amount of material from the ceramic surface, with reference to metrology data previously collected on the mirror blank.
Recent results of machining quality, material removal rates, residual surface roughness, and suitability of surface for
subsequent polishing are reported for various types of SiC and paradigms of laser micromachining.
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Polishing has traditionally been a process of mechanical abrasion with each iteration removing the damage from the
previous iteration. Modern sub-aperture techniques such as CCOS, MRF polishing etc. have added a considerable
amount of determinism to this iterative approach. However, such approaches suffer from one significant flaw, i.e., the
algorithms are completely guided by figure error. This approach fails when there is a considerable amount of strain
energy stored in the substrate and becomes very evident when the aspect ratio of the mirror increases significantly
causing relaxation of strain energy to have deleterious and unpredictable effects on figure between iterations. This is
particularly pronounced when the substrate is made of a hard ceramic such as silicon carbide requiring a considerable
amount of pressure to obtain any appreciable material removal rate. This paper presents an alternate approach involving
a stress-free figuring step and a buffing step intended to recover the surface roughness.
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A new technology has been developed to grow layers of amorphous hydrogenated Silicon Carbide in vacuum, at
temperatures below 100-120°C by Physical Enhanced Chemical Vapour Deposition (PE-CVD) technology. The layers
have been used either to improve the surface quality of SiC mirror substrates (produced by methods different of the
CVD approach, like e.g. sintered SiC) as a super-polishable cladding coatings, or to form self-sustaining thin mirrors in
SiC. It should be noted that the PE-CVD claddings can be applied also to substrates different than SiC, as e.g. metals
like Al or Kanigen, in order to create a high durability polishable external layer. It this paper we present the results of a
wide characterization of the new material, considering the mechanical, structural and optical properties that are the most
indicative parameters for its application in optics, with particular reference to the production of mirrors for ground and
space astronomical applications.
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Silicon carbide (SiC) high energy mirrors from M-Cubed, Schafer Corp, Poco and Trex Inc. were investigated using nondestructive
ultrasound C-scan imaging. Reflected signal amplitude variations from the top surface of the SiC mirrors
were imaged to locate surface and subsurface inhomogeneities. Where possible, the bottom surface reflected signal
amplitude and material velocity were mapped to evaluate bulk properties. Elastic property mapping was also performed
on a dense SiC mirror sample to look for regional variations in Poisson's ratio, Young's modulus, shear modulus, and
bulk modulus. These ultrasound techniques were successfully utilized for detection of subsurface inhomogeneities in the
SiC mirror samples.
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SiC optics have been considered for numerous optical applications for a long time. The fundamental
limitation of monolithic SiC is its, very low fracture toughness which greatly limits its reliability.
Long fiber, SiC-SiC composites are an excellent candidate for high end optical application. The selection of
the fiber and composite processing needs to address the intrinsic issues of modulus, strength, toughness,
thermal conductivity and CTE isotropy. The adaptability and flexibility of SiC-SiC composite
manufacturing renders the ability to fabricate very complex, closed-back structures. The fundamental issues
associated with uv optics is the ability to polish the substrate to ultra high quality in order to greatly reduce
the scattering.
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One of the key technologies for next generation space telescopes requiring large-scale reflectors are light-weight
materials having high specific strength, high specific stiffness, low coefficient of thermal expansion and high coefficient
of thermal conductivity. Several candidates, such as fused silica, beryllium, silicon carbide and carbon fiber reinforced
composites, have been evaluated.
An example of the latter material is a Hybrid Carbon-Fiber Reinforced SiC composite or HB-Cesic - a trademark of
ECM - which has been developed by ECM and MELCO to meet the stringent space telescope requirements. Mechanical
performance, such as stiffness, bending strength and fracture toughness, were significantly improved using HB-Cesic
compared to our classic Cesic material. Thermal expansion and thermal conductivity of HB-Cesic at cryogenic
temperatures are now partly established and excellent performance for large future space mirrors and structures are
expected. In this paper we will report on the current status of development of HB-Cesic and describe the first successful
applications made with this new improved material.
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Silicon components such as mirrors and infrared lenses have been manufactured for many years, primarily from polycrystalline
silicon (poly). There are inherent advantages that Single Crystal Silicon, (SCSi), has over poly, such as strength and dimensional
stability, that make it more suitable for telescopes. However, there are challenges in the design of an all-SCSi telescope. SCSi is
brittle and has low tensile strength compared to its compressive strength. These properties therefore dictate designs that
minimize tensile stresses and eliminate direct mechanical attachments. McCarter has accepted these challenges and has designed
and is fabricating a lightweight telescope that can replace one of beryllium at substantial savings of cost and schedule.
The challenge of direct attachment has been solved with the use of bonded threaded inserts of low expansion metal. Bonding has
been studied extensively as described in a companion paper, but the proprietary frit-bonding technique developed by Frank
Anthony proved to be the most predictable, stable, and reliable. This technique is also used to fabricate complex components
from an assembly of simpler parts.
To minimize tensile stresses, the mechanical design had to be modified from the original without changing the optical
prescription. This has been successfully accomplished through a "design for manufacturing" approach teaming designers, the
stress analyst and manufacturing personnel. This approach has provided a design that is being produced at lower risk, lower cost
and with higher predicted reliability with no loss in performance.
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The cost and leadtime associated with beryllium has forced the MDA and other defense agencies to look for alternative
materials with similar structural and thermal properties. The use of carbon-carbon material, specifically in optical
components has been demonstrated analytically in prior SBIR work at San Diego Composites. Carbon-carbon material
was chosen for its low in-plane and through-thickness CTE (athermal design), high specific stiffness, near-zero
coefficient of moisture expansion, availability of material (specifically c-c honeycomb for lightweight substrates), and
compatibility with silicon monoxide (SiO) and silicon dioxide (SiO2) coatings. Subsequent development work has
produced shaped carbon-carbon sandwich substrates which have been ground, polished, coated and figured using
traditional optical processing. Further development has also been done on machined monolithic carbon-carbon mirror
substrates which have also been processed using standard optical finishing techniques.
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Silicon carbide structures fabricated by converting near-net-shape graphite preforms via Chemical Vapor Conversion (CVC) phase reaction have long provided improved performance components for electronics processing. In recent years, this same technology has been applied to the fabrication of simple and lightweighted mirrors and is moving into optical bench applications. To support the expanded applications, Poco has further evaluated the material properties of SUPERSiC® silicon carbide, developed technologies to mount silicon carbide mirrors on benches of similar and dissimilar materials, and fabricated complex monolithic geometries using in situ conversion bonding of mating graphite components. Overviews of each of these areas will be presented.
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New-Technology Silicon Carbide (NTSIC(R)) is a reaction sintered silicon carbide with very high bending strength. Two
times higher bending strength than other SiC materials is important characteristics in an optical mirror for space
application. The space optics is to endure the launch environment such as mechanical vibration and shock as well as
lightweight and good thermal stability of their figure. NTSIC has no open pore. It provides good surface roughness for
infrared and visible application, when its surface is polished without additional coatings. Additional advantages are in the
fabrication process. The sintering temperature is significantly lower than that of a sintered silicon carbide ceramics and
its sintering shrinkage is less than one percent. These advantages will provide rapid progress to fabricate large structures.
Both reaction bonding method and brazing are studied in order to larger application for larger telescope. It is concluded
that NTSIC has potential to provide large lightweight optical mirror.
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Silicon carbide (SiC) is the most advantageous as the material of various telescope mirrors, because of high stiffness,
low thermal expansion, high thermal conductivity, low density and excellent environmental stability. Newly developed
high-strength reaction-sintered SiC, which has two to three times higher strength than a conventional sintered SiC, is one
of the most promising candidates in applications such as lightweight substrates of optical mirrors, due to being fully
dense and having small sintering shrinkage (±1 %), and low sintering temperature.
In this study, in order to improve nano-scale homogeneity of the high-strength reaction-sintered SiC, the microstructure
of high-strength reaction-sintered SiC was investigated using scanning electron microscopy (SEM) and microscope type
interferometer in comparison with the conventional sintered SiC. And also, the microstructure was investigated by
focusing on the crystal structures and the interface of each crystal through transmission electron microscopy and X-ray
diffraction analysis. As a result, it was the confirmed that the high-strength reaction-sintered SiC was fully dense in
comparison with the conventional sintered SiC, and the finer-scale microstructure consisted of large particles (~1 μm in
diameter) of α-SiC starting powder and small particles (<1 μm in diameter) of β-SiC synthesized during the
reaction-sintering (Si+C→SiC) with residual silicon (Si) filling the remaining pores. In addition, the β-SiC synthesized
during the reaction-sintering was identified as the cubic type (3C), and the α-SiC of the starting powder was identified as
the hexagonal type (6H).
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Direct Sintered Silicon Carbide (SSiC) is a promising material to fabricate large (over 1 meter diameter) land and space
based mirror optics due to its low areal density, high stiffness and high thermal stability. To make large mirror optics for
visible wavelength applications, sub-nanometer surface roughness is required, which can be achieved by cladding a SSiC
substrate using SiC chemical vapor deposition (CVD). Limitations on available equipment to clad monolithic structures
of this size require that smaller segments need to be clad first and then joined prior to being optically finished. To
demonstrate the viability of this method of fabrication, a segmented &nullset;300mm visible quality lightweighted concave
mirror has been manufactured and characterized. The mirror's 6 radial segments, coated with a SiC CVD layer on the
SSiC substrate were joined by means of a silicon based braze, formulated so that its thermal expansion matched that of
the SSiC substrate and SiC CVD layer. After figuring and polishing to optical quality, the mirror's stability was
characterized under vacuum at three temperatures (120 K, 293 K, and 520 K) by measuring the wave front error (WFE).
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Future novel optical systems, for example for EUV lithography and spectroscopy or X-ray applications, must achieve
high optical performance, resulting in stringent requirements on stiffness and stability of the mounted optics.
On the example of silicon pore optics the combination of an isotropic composite ceramic material and silicon could meet
these requirements. In this paper it will be shown that especially for space applications the combination of Cesic(R) and
silicon is advantageous, due to the excellent mechanical properties of Cesic(R) being used for the structural elements. This
combination is especially suitable due to the match of the low coefficient of thermal expansion (CTE) between both
materials. In such a way it is possible to develop, even with two different materials, a thermally stable system that can
function as an optic even at cryogenic temperatures and does not require any adjustment mechanisms.
This paper will discuss the material properties, present results on concrete applications for potential astrophysical science
missions and show some conceptual designs and applications of this material combination for future space missions.
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Global astrometry requires extremely stable materials for instrument structures, such as optical benches. Cesic®,
developed by ECM and Thales Alenia Space for mirrors and high stability structures, offers an excellent compromise in
terms of structural strength, stability and very high lightweight capability, with a coefficient of thermal expansion that is
virtually zero at cryogenic T°. The High-Stability Optical Bench (HSOB) GAIA study, realized by Thales Alenia Space
under ESA contract, aimed to design, develop and test a full-scale representative of the HSOB bench, made entirely of
Cesic®. The bench has been equipped with SAGEIS-CSO laser metrology system MOUSE1, a Michelson
interferometer composed of integrated optics with nm-resolution. The HSOB bench has been submitted to a
homogeneous T° step under vacuum to characterize 3-D expansion behavior of its two arms. The quite negligible interarm
differential, measured with a nm-range reproducibility, demonstrates that a complete 3-D structure made of Cesic®
has the same CTE homogeneity as do characterization samples, fully in line with the stringent GAIA requirements
(1ppm at 120K). This demonstrates that Cesic® properties at cryogenic temperatures are fully appropriate to the
manufacturing of complex highly stable optical structures. This successful study confirms ECM's and Thales Alenia
Space's ability to design and manufacture monolithic lightweight highly stable optical structures, based on inner-cell
triangular design made possible by the unique Cesic® manufacturing process.
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A Silicon Carbide (SiC) based wide field of view Pointing Mirror Assembly (PMA) has been developed to provide two
axis line-of-sight control for a fixed, space based imaging sensor. Thermal modeling has been completed in order to
project the excellent thermal stability anticipated from the SiC PMA, and closed loop servo testing of the hardware has
been conducted in order to quantify the bandwidth associated with line-of-sight control. In addition to the system level
testing the SiC mirror substrate itself has been tested for thermal stability. We also report on results obtained with a
novel polishing technique which has been applied in order to allow optical finishing of the two-phased Reaction Bonded
(RB) SiC mirror substrate without the need for Silicon or SiC claddings.
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The Air Force is interested in high stiffness, lightweight technologies for beam control systems. The corrected system
wavefront error can be minimized using low figure error/surface finish, low print-through, high-stiffness, Silicon
Lightweight Mirror Systems (SLMSTM) technology with high-reflectivity, very low absorption (VLA) coatings. We
report on the fabrication of an F/1.0 mirror/mount weighing 26 pounds and with a first mode in excess of 1 kHz.
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This paper deals with the study of Al-Si alloy laser melted with variable constituents of TiC and Fe coatings to generate
TiC reinforced with Fe-Al matrix composite layer on it. This experimentation deals with the investigation of the quality
of the composite layer generated by varying the process parameters and the coating composition. A superior composite
layer is established when the variable processing parameters were of 2.5kW laser power and 1.5 m/min. scan speed for
the coating composition of 25Fe-75TiC wt.%. This layer which consists of TiC reinforcement with Al-Fe matrix shows
an average microhardness of about 750 HV and also exhibits pore and crack free surface. Bonding strength of the
composite layer is also examined by the hardness test.
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With a planned launch of 2013, NASA's James Webb Space Telescope (JWST) will be the premier space observatory
for astronomers worldwide. This infrared space telescope will be passively cooled to cryogenic temperatures in its solar
L2 orbit. The JWST Optical Telescope Element (OTE) features a 6.5 meter, segmented Primary Mirror, which focuses
light onto a Secondary Mirror and finally redirected into and through the Aft Optics Subsystem (AOS). The AOS
consists of an optical bench which aligns and supports the telescope's Tertiary Mirror and Fine Steering Mirror
Assemblies. This paper describes the unique cryogenic requirements and design of the JWST Beryllium AOS optical
bench. Key performance requirements are reviewed including: launch environment, the cryogenic operating environment
(nominally 39K), and optical alignment stability at cryogenic temperatures. The mechanical design approach utilizing
Beryllium as the structural material for the AOS Bench is described relative to meeting the driving requirements.
Material property verification, low and predictable material variability, and low thermal gradients across the structure are
also discussed.
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BAE Systems has developed and fielded the F-9120, a compact, lightweight, dual-band Electro-Optical/Infrared (EO/IR)
long range sensor for high altitude tactical reconnaissance applications. The sensor's weight and size allow it to be
carried internally or in a pod on a variety of military aircraft. The challenge of maintaining optical performance over
severe vibration and thermal environments has been met using beryllium optics coupled to a beryllium-aluminum
structure. Material choices were vital to maintaining both the optical performance of the system over the environments
as well as jitter control of the two-axis, inertially-stabilized gimbal. The beryllium and beryllium-aluminum combination
has demonstrated unprecedented vibration performance in both laboratory and field environments. In addition, the close
coefficient of thermal expansion (CTE) match between the optics and structure has enabled the sensor to meet its stringent imaging requirements over a wide temperature range as predicted.
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This paper reviews work on fabricating light-weight optics made from inorganic composite materials. The goal of the
project is to make mirrors in the 5-10 kg/m2 area density regime based on Northwestern University's previous
technology used to make X-ray optics. The goal of this replication process is to end up with a smooth and also
potentially accurate surface such that post figuring and polishing will not be necessary. This report covers work on
fabricating witness samples up to 10 cm in diameter.
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The bent strip method is often used for determining residual stresses in electroless nickel deposits for infrared mirror
applications. In an earlier work the author derived the correct linear stress-strain relations for measuring residual stresses
in plated metals using the bent strip method. However, the question of when bent strip specimen deflections become so
large that the linear theory is no longer valid has never been clearly addressed. In this work, a preliminary analysis on the
limits of the classical linear theory is carried out, and it is shown that the rotation angle in bending can be used as a good
first order estimate of the linear limit. The relations between specimen bow out height and rotation angle for the bent strip
method are derived, and numerical results are given for electroless nickel plated on brass, aluminum, and other mirror substrate materials.
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Near-Net-Shape (NNS) technology for advanced engineered materials provides a number of supply chain benefits.
These benefits include less input material, less machining hours and overall greater through put in comparison to
conventional rectangular and round machining stock. Al-62%Be alloy has a unique combination of properties attractive
for optical structures. It has a density of 0.076-lb/in3, 28-ksi minimum yield strength and 28-Msi elastic modulus.
There have been significant developments with AlBe Hot Isostatic Press (HIP) consolidation technology in recent years.
One key is using spherical AlBe metal powder which packs to a high density. The high packing density allows more
complex can design and dimensional control to produce monolithic parts with isotropic properties. Other key success
factors are HIP can design and the process to implement the near-net-shape strategy.
This paper will describe an example of a process using shaped HIP cans to produce blanks approaching near-net-shape
design through an iterative process. The strategy is to produce a seamless product to the next step in the supply chain as
the iterations improve material utilization efficiency. The economic impact and planned future work will also be
described.
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The engineering of high-energy lasers (HELs) for applications such as the airborne laser (ABL) system requires optical windows capable of handling megajoule beam energies. The selection of a suitable window material involves considerations relating to thermal lensing, i.e., the beam distortion caused by thermally induced phase-aberrations, in addition to issues arising from the thermal stresses generated by beam-induced temperature gradients. In this paper we document analytical methods for evaluating the impact of both beam-induced optical distortions and beam-induced mechanical stresses, which may allow the designer to properly assess the performance of window-material candidates. Specifically, thermal lensing in conjunction with planar stresses control the allowable beam fluence,
whereas the two axial-stress related failure modes (thermal-shock induced fracture and yielding in compression) control the allowable beam intensity. We illustrate these considerations in the light of
an evaluation of the performance of three window-material candidates for operation at the 1.315-&mgr;m wavelength. Currently, fused Si02 is the window material of choice for contemplated HELs operating in the near infrared; it is, however, vulnerable to optical distortion, which renders this material unsuitable for applications that require transmitting large beam fluences. On assuming that stress-birefringence is of no concern, oxyfluoride glass outperforms Si02, but evidence of a poor thermal conductivity degrades this material's ability to transmit high-intensity beams. Fusion-cast CaF2 emerges as the most promising "compromise" solution in the sense that this material combines superior optical features with acceptable thermomechanical properties; in effect, CaF2 windows easily meet requirements as formulated for the first-generation ABL system.
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We recall how techniques for optical and mechanical design, engineering and fabrication have evolved during the
60-year period since the end of World War II. Considerations include some ways in which improvements in
materials availability and in methods for design, analysis, tolerancing for fabrication and alignment, and hardware
assembly, inspection and environmental testing may have facilitated development of increasingly sophisticated
optical instruments.
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In this paper, various structures for double-liquid variable focus lens are introduced. And based on an energy
minimization method, explicit calculations and detailed analyses upon an extended Young-type equation are given for
double-liquid lenses with cylindrical electrode. Such an equation is especially applicable to liquid-liquid-solid tri-phase
systems. It is a little different from the traditional Young equation that was derived according to vapor-liquid-solid triphase
systems. The electrowetting effect caused by an external voltage changes the interface shape between two liquids
as well as the focal length of the lens. Based on the extended Young-type equation, the relationship between the focal
length and the external voltage can also be derived. Corresponding equations and simulation results are presented.
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Space telescope designs driven by science goals such as the infrared observation of high-redshift galaxies and the
infrared observation of objects that would otherwise be obscured by dust in the visible push the operating temperatures
of the optics to cryogenic temperatures. Typical temperatures, 30 to 100 K are a challenging regime for actuators, but
little information is available on the low-temperature performance of Piezo-electric actuator products currently on the
market. Work is underway to measure actuator stroke and CTE, at low temperatures for typical PZTs, such as those
available "off-the-shelf" from P.I. and Thorlabs.
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