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Proc. International Conference on Space Optical Systems and Applications (ICSOS) 212, 8-3, Ajaccio, Corsica, France, October 9-12 (212) igh-precision narrow-band optical filters for global observation Atsuo Kurokawa, Yasuhiro Nakajima, Shinji Kimura, iroshi Atake, Showa Optronics Co., td. (Japan) Yoshihiko Okamura, Kazuhiro Tanaka, Japan Aerospace Exploration Agency (Japan) Shunji Tsuida, Kenichi Ichida, Takahiro Amano, NEC TOSIBA Space Systems, td. (Japan) E-mail:a-kurokawa@soc-ltd.co.jp ABSTRACT Earth observation satellites are launched to monitor global and long-term climate change, water circulation, and other phenomena. These observations also help increase the accuracy of predictions of environmental changes. Optical band-pass filters that have narrow transmission bands corresponding to specific radiation wavelengths ranging from the near ultraviolet (UV) to infrared (IR) are used for sensor observations. To improve the measurement precision, the required specifications for observation systems including optical band-pass filters are becoming more stringent. The Second-generation Global Imager (SGI) on the Global Change Observation Mission-Climate (GCOM-C) is a multiband optical imaging radiometer. The optical band-pass filters used for such imagers must have a highly uniform center wavelength (CW). This paper examines the relationship between the geometry of the substrate fixture and variations in the film thickness on the substrate. A CW uniformity of better than.1% peak-to-peak (pp) in an area of mm 1 mm is achieved. In addition, it is shown that the CW shift due to the telecentric error, or the inclination angle of the chief ray in image space, can be compensated for by controlling a filter s CW distribution. Keywords: band-pass filter, narrow transmission band, film thickness, uniformity, telecentric I. INTRODUCTION The Global Change Observation Mission (GCOM) is the Japan Aerospace Exploration Agency s next Earth environmental observation mission; it consists of the GCOM-W and GCOM-C satellites series for monitoring carbon, water cycles, and climate change [1]. The GCOM-W1 that was launched in May 212 carries the Advanced Microwave Scanning Radiometer 2, a microwave sensor; it is not discussed in detail here. The GCOM-C1 will carry the Second-generation Global Imager (SGI) [2, 3], an optical sensor in the wavelength range from the near ultraviolet (UV) to thermal infrared (TIR). The components of the SGI are listed in Table 1. The SGI Visible and Near Infrared Radiometer (VNR) has the important mission of observing land aerosols, vegetation biomass, and other targets with high accuracy to improve sub-processes in numerical climate models. For this reason, high precision of the band-pass filters used for the line sensors is demanded. Table 2 lists the main specifications of the SGI-VN filters, which should be fulfilled over an effective area of 82 mm 1 mm on a substrate. These types of filters are usually realized by optical coatings and designed as interference filters with a dielectric multilayer. The signal-to-noise ratio can be increased by optimizing each transmission bandwidth, which would make SGI-VN capable of more precise measurement. This requires both a high central wavelength (CW) precision and high relative CW uniformity over the entire effective area of the substrate. This paper mainly discusses the issues in manufacturing VN filters to meet these demanding specifications and how to fabricate them with simpler methods. Table 1 Components of SGI Sensors Monitoring range Polarization SGI VNR VN:Visible&Near infrared 38.-868. nm Unpolarized P:Polarimetry 673.-868. nm P-polarized IRS SW:Shortwave infrared -22 nm Unpolarized T:Thermal infrared.8-12. μm Unpolarized II. STRUCTURE OF SGI-VN FITER MODUE The VN filter module is being developed for highly precise observations. Therefore, it is very important not only to realize the specifications in Table 2 but also to suppress stray light in the optical system to low levels, i.e., less than.3% of the observation light intensity. owever, multiple reflections caused by the surface reflection of lenses, VN filters, and line CCD sensors cause stray light to appear and degrade the observation precisions. In particular, VN filters have enormously high reflectance because they are fabricated using multilayer thin film coatings that reflect unwanted light instead of absorbing it. To reduce stray light, it is extremely effective to incline the VN filters by or more to the plane normal to the chief ray so that the inner wall of the chassis absorbs the reflected light from each element. owever, because the VN filters are intended for the observation of unpolarized light, their polarization sensitivity must be less than.%. Calculations revealed that the maximum inclination of the VN filters is 4. For these reasons, the stop band function for each VN filter is provided by V filters and F filters, which reject the light relatively close to and far from the passband region, respectively. In addition, colored glass filters are used as substrates for almost every filter to cut the shorter wavelength range. For example, the spectral characteristics of the, F, and VN9 filters are shown in Fig. 1. Table 2 Main specifications for passband characteristics of SGI-VN filters unit VN1 VN2 VN3 VN4 VN VN6 VN7 VN8 VN9 VN VN11 Nominal value nm 38. 412. 443. 49. 3. 6. 673. 673. 763. 868. 868. nm ±1. ±1.6 ±.9 ±1. ±1.1 ±2.3 ±1.3 ±1.3 ±1. ±1.7 ±1.7 Tolerance Center Wavelength (CW) % ±.4 ±.4 ±.2 ±.2 ±.2 ±.4 ±.2 ±.2 ±.2 ±.2 ±.2 Uniformity nmpp.7.7 1.1 1.2 1.3 1. 1.6 1.6 1.4 2.1 2.1 %PP.18.18.24.24.24.18.24.24.18.24.24 Band width FWM nm 2 2 2 2 12 2 2 Tolerance nm ±1. ±1. ±1. ±1. ±2. ±2. ±2. ±2. ±1. ±2. ±2. Stop-band range is 3 1 nm.

Proc. International Conference on Space Optical Systems and Applications (ICSOS) 212, 8-3, Ajaccio, Corsica, France, October 9-12 (212) The VN9 filter consists of filter and F filter to meet its specifications. The other VN filters have similar components. Transmittance (%) 1.1.1.1 F VN9 Refractive Index 2.2 2. 1.8 1.6 1.4 1.2 4 -... 1. 1. 2. 2. 3. 3. 4. 4.. Film thickness (QWOT).1 3 7 9 1 Wavelength (nm) Refractive Index 2.2 2. 4 Fig. 1 Spectral characteristics of, F and VN9 filters 1.8 Because the stop band of the F filter is far from the observation wavelength range, the VN filter s polarization characteristics are not greatly affected even if a large inclination angle is applied. Therefore, inclination angles of and 4 were chosen for the F and V filters, respectively. A calculation assuming this configuration showed that the amount of stray light, which was % in the first design, could be suppressed to less than.1%. The configuration of the optical filter unit is shown in Fig. 2. 1.6 1.4 1.2 -... 1. 1. 2. 2. 3. 3. 4. 4.. Film thickness (QWOT) Fig. 3 Index profiles of single cavity interference filters: () 3 4 () 3, () 3 4 () 3 F1 F2 F3 F4 F The design of double-cavity and triple-cavity interference filters is represented as follows. The transmission band approaches a rectangle as the number of cavities increases (Fig. 4). VV7 V6 V4 V2 V1 V3 V V8 V11 line CCD sensor Fig. 2 Schematic diagram of optical filter unit III. DESIGN OF OPTICA INTERFERENCE FITER The V filters are designed as interference filters with dielectric multilayer. This section provides a brief description of an interference filter. One of the most basic design formulas for a single-cavity interference filter that has only one Fabry Perot cavity can be written as follows [4]: () i 2m () i or () j 2m () j, where and stand for high and low refractive index materials with quarter-wave optical thickness (QWOT) at the design wavelength, and m is an integer. () i 2m () i and () j 2m () j are referred to as the cavity; examples are shown in Fig.3. In this paper, Ta 2 O and SiO 2 were used for the high and low refractive index materials, respectively. Double-cavity design: Cavity Cavity Triple-cavity design: Cavity Cavity Cavity ere, Cavity stands for () 3 2 () 3 The high and low refractive index materials are Ta 2 O and SiO 2, respectively, and the design wavelength is 32 nm. Transmittance (%) 9 8 7 6 4 3 2 Single cavity Double cavity Triple cavity 2 4 6 Wavelength (nm) Fig. 4 Spectrum of transmission band for different numbers of cavities

Proc. International Conference on Space Optical Systems and Applications (ICSOS) 212, 8-3, Ajaccio, Corsica, France, October 9-12 (212) The V filters were designed by triple or quadruple cavity. As an example, the design of the filter that was actually used in this project is as follows. (Its spectrum is shown in Fig. 1). Colored glass filter () 3 2 () 3 () 4 2 () 4 () 4 2 () 4 () 3 2 () 3 Air and stand for Ta 2 O and SiO 2, respectively, and the design wavelength is 763 nm. Various coating methods are used to produce an optical thin film. If an interference filter is fabricated by thermal evaporation, its spectrum shifts to longer or shorter wavelengths depending on the environment because of its porosity [-7]. To avoid this spectral shift, a dense film is needed; it can be fabricated by ion bombardment or sputtering methods, which increase the particle mobility [8-]. Because a dense film generally has a high internal compressive stress (greater than 2 MP, the substrates may be bent when the film become thick. Therefore, to reduce substrate bending, the V filters were designed to have similar film thicknesses on the front and back sides of the substrate. filters are manufactured, we calculated the film thickness of arbitrary point P (x, y, z) on a substrate mm 3 mm in size for a spherical and a flat substrate holders. Each parameter used in the calculation, such as θ, φ, and r, is determined in accordance with the configuration of our equipment (PIAD). A substrate mm 3 mm in size was used to make the V filters, which were 82 mm 1 mm in size. Z Y θ r φ P evaporation source substrate spherical holder X Fig. Comparison of spherical and flat substrate holders Spherical substrate holder Z evaporation source Y θ r P φ = θ substrate h flat holder X IV. PREIMINARY STUDY OF FIM TICKNESS UNIFORMITY Before the preliminary study, we first decided to adopt plasma ion-assisted deposition (PIAD) as the coating method to produce dense films in this project. Even if a suitable design, material, and coating method are chosen, further difficulties must be overcome to manufacture practical coatings. The most important challenge is to control the film thickness uniformity on the effective area on the substrate. The lack of uniformity causes a shift in the spectral characteristics across the substrate. That is to say, it is an error of the relative CW uniformity. The basic equation for estimating the film thickness uniformity in the evaporation process can be written as follows [11, 12]: t = (m/πµ) cosθcosφ/r 2. (1) where t is the layer thickness, m is the total mass of materials emitted from the source in all directions, µ is the film density, and r is the distance between the evaporation source and P (x, y, z) that is an arbitrary point on the substrate. θ is the angle between the normal to the surface of the source and direction from the source to the P. Further, φ is the angle between the normal to the surface of the substrate and direction from the P to the source. Prior to actual calculation of the film thickness, the location of the substrate need to be determined. There are two types of substrate holder that are commonly used in the evaporation process. One is a spherical holder and the other is a flat holder [Fig. and 6]. For a flat substrate holder, when the height of the substrate above the source is set to h, r is given by h/cosθ and φ equals θ. Then, the thickness will be simplified as follows: t = (m/πµ) cos 4 θ/h 2. (2) In fact, because arbitrary locations on the substrate differ in θ, φ, and r, a thickness distribution on the substrate occurs. Thus, to estimate the thickness distribution on a substrate before the V Source Source Shadow masks to correct the thickness distribution Fig. 6 Equipment (PIAD) with spherical and flat substrate holders The calculated peak-to-peak (pp) film thickness uniformity over an area of mm 3 mm for the spherical holder is 1.3% [Fig. 7(], and that for the flat holder is.% [Fig. 7(]. In both cases, the relative thickness error is approximately.% along the longer direction of the substrate. This result indicates that neither the spherical holder nor the flat holder meets the specifications for VN filters. Flat substrate holder Shadow masks to correct the thickness distribution

Proc. International Conference on Space Optical Systems and Applications (ICSOS) 212, 8-3, Ajaccio, Corsica, France, October 9-12 (212) 1 - - -1 1 - - -1 Fig. 7 Relative peak-to-peak thickness error over an area of mm 3 mm: spherical holder without a shadow mask and flat holder without a shadow mask The thickness distribution was recalculated on the basis of the assumption that a shadow mask is used to correct the distribution along the longer direction of the substrate. The recalculated relative thickness error over an area of mm 3 mm is 4% pp [Fig. 8(] for the spherical holder and.% pp [Fig. 8(] for the flat holder. These results indicate that it may be possible to manufacture VN filters only when a flat holder is used. 1 - - -1 1 - - Relative thickness error =.% Relative thickness error = 1.3% Relative thickness error =.% Relative thickness error =.% Relative thickness error = % Relative thickness error = 4.% -1 Relative thickness error = % Relative thickness error =.% Fig. 8 Relative peak-to-peak thickness error over an area of mm 3 mm: spherical holder with a shadow mask and flat holder with a shadow mask In practice, the thickness distribution on the substrate varied randomly batch-by-batch with slight variations in the shape of the source materials and lack of repeatability of the substrate temperature and degree of vacuum. Therefore, it is impossible to achieve complete uniform film thickness even if a shadow mask with an optimized shape is used. % % % % V. RESUTS AND DISCUSSION Because the F filters have little effect on the specifications of the transmittance band of the VN filters, maximum errors of up to ±2% can be allowed in the CW and relative CW uniformity precisions together. Therefore, the F filters were manufactured by a conventional deposition method. The details are not given here. The CW errors of the V filters can be controlled to be better than ±.1% by a direct optical monitor system, which monitored the actual filter to control the film thickness [13]. The resulting CW errors are shown in Fig. 9. CW error (%).2.1... -. -. -.1 -.2 V1 V2 V3 V4 Fig. 9 CW error of each band (blue circles: manufactured by PIAD, pink triangles, manufactured by the conventional method) 1) CW uniformity As mentioned above, the flat holder offers better correction of the thickness distribution on a substrate than the spherical holder. Therefore, the flat holder was used to manufacture the V filters described below. In the previous section, we assumed that the thickness distribution is proportional to cos 4 θ. owever, in the actual coating process, this is not always true because of differences in the source material characteristics. Therefore, the factor cos 4 θ was replaced by cos x θ in equation 2 to match the true thickness distribution. Then, x was experimentally determined to be 3. ±.2. A calculation based on this value of x yields a batch-to-batch relative uniformity of less than.4% pp over a substrate area of 82 mm 1 mm. This margin of error is tolerable in the fabrication of V filters with the required specification of.18% pp. A relative CW uniformity of.18% pp (Fig. ) was achieved over an area of 82 mm 1 mm by the method described above using the flat holder and shadow mask with the optimized shape. In addition, a relative CW uniformity of better than.6% pp was achieved over an area of mm 1 mm along the longer direction of the V1 filter (Fig. 11). V V6 V7 V8 V V11

Proc. International Conference on Space Optical Systems and Applications (ICSOS) 212, 8-3, Ajaccio, Corsica, France, October 9-12 (212) Relative CW uniformity (%).2.18.16.14.12..8.6.4.2. V1 V2 V3 V4 V Fig. Relative CW uniformity of each band (blue circles: manufactured by PIAD, pink triangles: manufactured by the conventional method) Relative CW uniformity (%).2.18.16.14.12..8.6.4.2. Specification (.18% pp) V6 V7 V8 Specification (.18% pp) V V11 Position on the substrate (mm) Fig. 11 Relative CW uniformity along the longer direction of the V1 filter 2) Controlling CW distribution on substrate The wavelength characteristics of an interference filter generally shift depending on the incident angle. As the angle of incidence increases, the wavelength characteristics shift to shorter wavelengths. When an optical system has a telecentric error or the inclination angle of the chief ray in image space, the angle of incidence to the band-pass filter varies the basis of the position on a substrate. In other words, the CW shift due to the telecentric error of the optical lens should be able to be compensated by controlling film thickness distribution along the longer direction of the substrate. The shape of the shadow mask used to correct the film thickness distribution in V filter fabrication can be changed easily. Thus, the film thickness distribution over an area of 82 mm 1 mm, which is the size of the V filters, can be controlled freely using a shadow mask. As a first step of feasibility study of compensating a telecentric error of optical lens, we have demonstrated doubling the film thickness variation along the longer direction of a substrate compared to the V1 filter. As shown in Fig. 12, the CW variation of the sample was approximately 2. times that of the V1 filter. Relative CW uniformity (%).2.18.16.14.12..8.6.4.2. Specification (.18% pp) Position on the substrate (mm) Fig. 12 Control of film thickness distribution. Blue circles: control using a shadow mask to correct the distribution along the longer direction of the substrate, green diamonds: control using a shadow mask to double the variation of the V1 filter VI. CONCUSION In the manufacture of narrow-band optical filters for global satellite observations, a CW error of better than ±.1% and a relative CW uniformity of better than.1% pp over an area of mm 1 mm were achieved. In addition, it was demonstrated that the CW shift due to a telecentric error, or the inclination angle of the chief ray in image space, can be compensated for by controlling the film thickness distribution on the substrate using a shadow mask. These results were achieved by a simpler method using PIAD and a flat plane substrate holder. REFERENCES [1]K. Imaoka, M. Kachi,. Fujii,. Murakami, M. Mori, A. Ono, T. Igarashi, K. Nakagawa, T. Oki, Y. onda and. Shimoda, Proc. IEEE, 2. [2]Y. Okamura, K. Tanaka, T. Amano, M. iramatsu and K. Shiratama, Proc. SPIE 76, 28. [3]K. Tanaka, Y. Okamura, T. Amano, M. iramatsu and K. Shiratama, Proc. SPIE 7862, 2. [4]. A. Macleod, Thin-Film Optical Filters (Macmillan, ondon, 1986) pp.244-27, pp.27-286 []J. A. Ruffner, M. D. imel, V. Mizarahi, G. I. Stegeman and U. J. Gibson, Appl. Opt. 28, 29, 1989. [6]S. Mohan and M. G. Krishna, Vacuum 46, 64, 199. [7]F. Flory and. Escoubas, Progress in Quantum Electronics 28, 89, 24. [8]J. K. Fu, G. Atanassov, Y. S. Dai, F.. Tan and Z. Q. Mo, J. Non-Crys.Solids 218, 43, 1997. [9]G. Atanassov, J. Turlo, J. K. Fu and Y. S. Dai, Thin Solid Films 342, 83, 1999. []D. R. Gibson and C. uiguang, 4th Annual Technical Conference Proceedings of the Society of Vacuum Coaters pp.611-61, 22. [11]. olland and W. Steckelmacher, Vacuum 2 346-64, 192. [12]K.. Behrndt, th AVS Nat. Vac. Symp. (Macmillan, ondon, 1963) pp.379-84 [13]. D. Polster, J. Opt. Soc. Am. 42 21-, 192.