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This paper presents a spatial modulation Fourier transform micro-spectrometer based on micro-optical elements. The infrared microstructure diffractive optical elements, multi-step micro-mirrors and microlens array are introduced to realize the miniaturization of the instrument. In addition, the structure and basic principle of Fourier transform infrared micro-spectrometer are introduced. The design theory of micro-collimation system is analyzed based on the negative dispersion, the abberation correction and the arbitrary phase modulation characteristics of diffractive optical element. Combined with the characteristics of micro-static interference system, the micro-focusing coupled optical system is analyzed and designed. Based on the wave aberration theory and the Sellmeier dispersion formula, the influence of residual aberration on spectral recovery and the diffraction efficiency of diffraction surface in single-chip hybrid diffractive-refractive collimating lens are studied. The effects of diffraction of multi-stage micro-mirrors and the aperture diffraction of microlens array on spectral recovery are studied by using the scalar diffraction theory. Furthermore, the influence of axial assembly error of relay system on the whole system performance is studied. The results show that the diffraction efficiency of the diffraction surface, the diffraction of the multistage micro-mirror and the microlens array have no effect on the recovery spectrum when the working band of the system is 3.7-4.8 μm. Finally, in order to verify the accuracy of the system design results, an optical simulation software is used to simulate the infrared micro-Fourier transform spectrum. The accuracy of the system model is verified by the simulation that the reconstructed spectrum is in agreement with the ideal spectral curve and the actual spectral recovery error is 2.89%. The medium-wave infrared micro-static Fourier transform spectrometer has no movable parts and adopts micro-optics element to replace the traditional infrared lens. Therefore, it has the advantages of not only good stability, but also small size and light weight so that it is helpful in on-line monitoring applications and provides a new design idea about the micro-Fourier transform spectrometer.
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Keywords:
- medium wave infrared Fourier transform spectrometer /
- diffraction microstructure /
- microlens array
[1] Cai Q S, Huang M, Han W, Cong L X, Lu X N 2017 Acta Phys. Sin. 66 160702 (in Chinese) [才啟胜, 黄旻, 韩炜, 丛麟骁, 路向宁 2017 物理学报 66 160702]
[2] Shan C G, Wang W, Liu C, Xu X W, Sun Y W, Tian Y, Liu W Q 2017 Acta Phys. Sin. 66 220204 (in Chinese) [单昌功, 王薇刘诚, 徐兴伟, 孙友文, 田园, 刘文清 2017 物理学报 66 220204]
[3] Yu H, Zhang R, Li K W, Xue R, Wang Z B 2017 Acta Phys. Sin. 66 054201 (in Chinese) [于慧, 张瑞, 李克武, 薛锐, 王志斌 2017 物理学报 66 054201]
[4] Wu M, Cui L, Wang G, Ling X F, Zhao H M, Xu Z 2017 Spectrosc. Spec. Anal. 37 733 (in Chinese) [吴敏, 崔龙, 王港, 凌晓锋, 赵红梅, 徐智 2017 光谱学与光谱分析 37 733]
[5] Podmore H, Scott A, Cheben P, Velasco A V, Schmid J H, Vachon M, Lee R 2017 Opt. Lett. 42 1440
[6] Nie X, Ryckeboer E, Roelkens G, Baets R 2017 Opt. Express 25 A409
[7] Akca B 2017 Opt. Express 25 1487
[8] Watanabe A, Furukawa H 2018 Opt. Commun. 413 8
[9] Rutkowski L, Johansson A C, Zhao G, Hausmaninger T, Khodabakhsh A, Axner O, Foltynowicz A 2017 Opt. Express 25 21711
[10] Talghader J J, Gawarikar A S, Shea R P 2012 Light-Sci. Appl. 1 e24
[11] Gross K C, Bradley K C, Perram G P 2010 Environ. Sci. Technol. 44 9390
[12] Yin X H, Steinle T, Huang L L, Taubner T, Wutting M, Zentgraf T, Giessen H 2017 Light-Sci. Appl. 6 e17016
[13] Hegyi A 2017 Opt. Express 25 17402
[14] Shtanko A E, Kalenkov G S, Kalenkov S G 2017 J. Opt. Soc. Am. B 34 B49
[15] Wang W, Samuelson S R, Chen J, Xie H 2015 IEEE Photon. Technol. 27 1418
[16] Hook S J, Kahle A B 1996 Remote Sens. Environ. 56 172
[17] Kong Y M, Liang J Q, Wang B, Liang Z Z, Xu D W, Zhang J 2009 Spectrosc. Spec. Anal. 29 1142 (in Chinese) [孔延梅, 梁静秋, 王波, 梁中翥, 徐大伟, 张军 2009 光谱学与光谱分析 29 1142]
[18] Fu J G, Liang J Q, Liang Z Z 2012 Acta Opt. Sin. 32 266 (in Chinese) [付建国, 梁静秋, 梁中翥 2012 光学学报 32 266]
[19] Gao J H, Liang Z Z, Liang J Q, Wang W B, L J G, Qin Y X 2017 Appl. Spectrosc. 71 1348
[20] Davidson N, Friesem A A, Hasman E 1993 Appl. Opt. 32 4770
[21] Wood A P 1992 Appl. Opt. 31 2253
[22] Riedl M J 1996 Appl. Opt. 35 6833
[23] Zhang S Q, Zhou L Y, Xue C X, Wang L 2017 Appl. Opt. 56 7442
[24] Pan Y Q, Zhu C, Hang L X, Song J J 2004 Laser Infrar. 34 372 (in Chinese) [潘永强, 朱昌, 杭凌侠, 宋俊杰 2004 激光与红外 34 372]
[25] Yang G G 2008 Micro-optics and System (Zhejiang:Zhejiang University Press) pp15-20 (in Chinese) [杨国光 2008 微光学与系统(浙江:浙江大学出版社)第15–20页]
[26] L N G 2007 Fourier Optics (3rd Ed.) (Beijing:China Machine Press) pp89-112 (in Chinese) [吕乃光 2007 傅里叶光学(第三版) (北京:中国机械工业出版社)第89–112页]
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[1] Cai Q S, Huang M, Han W, Cong L X, Lu X N 2017 Acta Phys. Sin. 66 160702 (in Chinese) [才啟胜, 黄旻, 韩炜, 丛麟骁, 路向宁 2017 物理学报 66 160702]
[2] Shan C G, Wang W, Liu C, Xu X W, Sun Y W, Tian Y, Liu W Q 2017 Acta Phys. Sin. 66 220204 (in Chinese) [单昌功, 王薇刘诚, 徐兴伟, 孙友文, 田园, 刘文清 2017 物理学报 66 220204]
[3] Yu H, Zhang R, Li K W, Xue R, Wang Z B 2017 Acta Phys. Sin. 66 054201 (in Chinese) [于慧, 张瑞, 李克武, 薛锐, 王志斌 2017 物理学报 66 054201]
[4] Wu M, Cui L, Wang G, Ling X F, Zhao H M, Xu Z 2017 Spectrosc. Spec. Anal. 37 733 (in Chinese) [吴敏, 崔龙, 王港, 凌晓锋, 赵红梅, 徐智 2017 光谱学与光谱分析 37 733]
[5] Podmore H, Scott A, Cheben P, Velasco A V, Schmid J H, Vachon M, Lee R 2017 Opt. Lett. 42 1440
[6] Nie X, Ryckeboer E, Roelkens G, Baets R 2017 Opt. Express 25 A409
[7] Akca B 2017 Opt. Express 25 1487
[8] Watanabe A, Furukawa H 2018 Opt. Commun. 413 8
[9] Rutkowski L, Johansson A C, Zhao G, Hausmaninger T, Khodabakhsh A, Axner O, Foltynowicz A 2017 Opt. Express 25 21711
[10] Talghader J J, Gawarikar A S, Shea R P 2012 Light-Sci. Appl. 1 e24
[11] Gross K C, Bradley K C, Perram G P 2010 Environ. Sci. Technol. 44 9390
[12] Yin X H, Steinle T, Huang L L, Taubner T, Wutting M, Zentgraf T, Giessen H 2017 Light-Sci. Appl. 6 e17016
[13] Hegyi A 2017 Opt. Express 25 17402
[14] Shtanko A E, Kalenkov G S, Kalenkov S G 2017 J. Opt. Soc. Am. B 34 B49
[15] Wang W, Samuelson S R, Chen J, Xie H 2015 IEEE Photon. Technol. 27 1418
[16] Hook S J, Kahle A B 1996 Remote Sens. Environ. 56 172
[17] Kong Y M, Liang J Q, Wang B, Liang Z Z, Xu D W, Zhang J 2009 Spectrosc. Spec. Anal. 29 1142 (in Chinese) [孔延梅, 梁静秋, 王波, 梁中翥, 徐大伟, 张军 2009 光谱学与光谱分析 29 1142]
[18] Fu J G, Liang J Q, Liang Z Z 2012 Acta Opt. Sin. 32 266 (in Chinese) [付建国, 梁静秋, 梁中翥 2012 光学学报 32 266]
[19] Gao J H, Liang Z Z, Liang J Q, Wang W B, L J G, Qin Y X 2017 Appl. Spectrosc. 71 1348
[20] Davidson N, Friesem A A, Hasman E 1993 Appl. Opt. 32 4770
[21] Wood A P 1992 Appl. Opt. 31 2253
[22] Riedl M J 1996 Appl. Opt. 35 6833
[23] Zhang S Q, Zhou L Y, Xue C X, Wang L 2017 Appl. Opt. 56 7442
[24] Pan Y Q, Zhu C, Hang L X, Song J J 2004 Laser Infrar. 34 372 (in Chinese) [潘永强, 朱昌, 杭凌侠, 宋俊杰 2004 激光与红外 34 372]
[25] Yang G G 2008 Micro-optics and System (Zhejiang:Zhejiang University Press) pp15-20 (in Chinese) [杨国光 2008 微光学与系统(浙江:浙江大学出版社)第15–20页]
[26] L N G 2007 Fourier Optics (3rd Ed.) (Beijing:China Machine Press) pp89-112 (in Chinese) [吕乃光 2007 傅里叶光学(第三版) (北京:中国机械工业出版社)第89–112页]
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