Citation: | REN Yi-jie, ZHANG Zheng-tao. Study of the scattering model of micro-defects on cavity mirrors in cavity ring-down spectroscopy instruments[J]. Chinese Optics. doi: 10.37188/CO.2024-0094 |
Microdefects in cavity mirrors utilized in cavity ring-down spectroscopy (CRDS) adversely affect measurement accuracy. This paper establishes a microdefect scattering model grounded in Bobbert and Vlieger's Bidirectional Reflectance Distribution Function (BRDF) theory to analyze the characteristics of scattered light from microdefects under varying wavelengths, incident angles, defect sizes, types, densities, and substrate coatings. Studying the cavity mirror microdefect scattering model shows that defects in the micrometer to submicron range (100 um to 0.1 um) affect the ring-down absorption accuracy. Aiming at detecting microdefects of this order, this paper’s authors constructed analytical models of microdefect scattering and dark field detection of microdefects in cavity mirrors. Establishing and analyzing the scattering light model of CRDS mirror microdefects is critical to realizing the high-precision detection of CRDS mirror microdefects and recovering CRDS measurement accuracy.
[1] |
任颐杰, 颜昌翔, 徐嘉蔚. 增强吸收光谱技术的研究进展及展望[J]. 中国光学,2023,16(6):1273-1292. doi: 10.37188/CO.2022-0246
REN Y J, YAN CH X, XU J W. Development and prospects of enhanced absorption spectroscopy[J]. Chinese Optics, 2023, 16(6): 1273-1292. (in Chinese). doi: 10.37188/CO.2022-0246
|
[2] |
ANDERSON D Z. Alignment of resonant optical cavities[J]. Applied Optics, 1984, 23(17): 2944-2949. doi: 10.1364/AO.23.002944
|
[3] |
REN Y J, YAN CH X, WU C J, et al. Resonant frequency separation characteristics of the same-order hermite-gaussian mode in the astigmatic triangular cavity of a cavity ring-down spectroscope[J]. IEEE Access, 2022, 10: 53703-53712. doi: 10.1109/ACCESS.2022.3176452
|
[4] |
SONG SH M, HU CH H, YAN CH X. Optical axis maladjustment sensitivity in a triangular ring resonator[J]. Applied Optics, 2019, 58(1): 29-36. doi: 10.1364/AO.58.000029
|
[5] |
LEHMANN K K, BERDEN G, ENGELN R. An introduction to cavity ring-down spectroscopy[M]//BERDEN G, ENGELN R. Cavity Ring-Down Spectroscopy: Techniques and Applications. Chichester: Wiley, 2009: 1-26.
|
[6] |
HUANG H, LEHMANN K K. Noise caused by a finite extinction ratio of the light modulator in CW cavity ring-down spectroscopy[J]. Applied Physics B, 2009, 94(2): 355-366. doi: 10.1007/s00340-008-3293-y
|
[7] |
MO Z Q, YU J, WANG J D, et al. Differential measurement for cavity ring-down spectroscopy with dynamic allan variance[J]. Journal of Spectroscopy, 2020, 2020(1): 8398063.
|
[8] |
WERLE P. Accuracy and precision of laser spectrometers for trace gas sensing in the presence of optical fringes and atmospheric turbulence[J]. Applied Physics B, 2011, 102(2): 313-329. doi: 10.1007/s00340-010-4165-9
|
[9] |
王振, 杜艳君, 丁艳军, 等. 基于傅里叶变换的波长扫描腔衰荡光谱[J]. 物理学报,2019,68(20):204204. doi: 10.7498/aps.68.20191062
WANG ZH, DU Y J, DING Y J, et al. Wavelength-scanned cavity ring down spectroscopy based on Fourier transform[J]. Acta Physica Sinica, 2019, 68(20): 204204. (in Chinese). doi: 10.7498/aps.68.20191062
|
[10] |
袁峰, 高晶, 姚路, 等. 球载CRDS高灵敏度甲烷测量系统的研制[J]. 光学 精密工程,2020,28(9):1881-1892. doi: 10.37188/OPE.20202809.1881
YUAN F, GAO J, YAO L, et al. Development of highly sensitive balloon-borne methane measurement system based on cavity ringdown spectroscopy[J]. Opties and Precision Engineering, 2020, 28(9): 1881-1892. (in Chinese). doi: 10.37188/OPE.20202809.1881
|
[11] |
张锦龙, 王富美, 方圣欢, 等. 超低损耗激光薄膜的散射与机械损耗[J]. 光学 精密工程,2022,30(21):2655-2677. doi: 10.37188/OPE.20223021.2655
ZHANG J L, WANG F M, FANG SH H, et al. Scattering and mechanical loss of ultra-low loss laser coatings[J]. Optics and Precision Engineering, 2022, 30(21): 2655-2677. (in Chinese). doi: 10.37188/OPE.20223021.2655
|
[12] |
HUANG H F, KEVIN K K. Noise in cavity ring-down spectroscopy caused by transverse mode coupling[J]. Optics Express, 2007, 15(14): 8745-8759. doi: 10.1364/OE.15.008745
|
[13] |
侯翔宇, 邱腾. 低维光电材料缺陷与界面增强拉曼散射[J]. 中国光学,2021,14(1):170-181. doi: 10.37188/CO.2020-0145
HOU X Y, QIU T. Defects- and interface-enhanced Raman scattering in low-dimensional optoelectronic materials[J]. Chinese Optics, 2021, 14(1): 170-181. (in Chinese). doi: 10.37188/CO.2020-0145
|
[14] |
REN Y J, LIU L H, YANG H B, et al. Light scattering defects and measurement accuracy in cavity ring-down spectroscopy[J]. Proceedings of SPIE, 2024, 12997: 129971R.
|
[15] |
杨甬英, 陆春华, 梁蛟, 等. 光学元件表面缺陷的显微散射暗场成像及数字化评价系统[J]. 光学学报,2007,27(6):1031-1038. doi: 10.3321/j.issn:0253-2239.2007.06.015
YANG Y Y, LU CH H, LIANG J, et al. Microscopic dark-field scattering imaging and digitalization evaluation system of defects on optical devices precision surface[J]. Acta Optica Sinica, 2007, 27(6): 1031-1038. (in Chinese). doi: 10.3321/j.issn:0253-2239.2007.06.015
|
[16] |
NICODEMUS F E. Directional reflectance and emissivity of an opaque surface[J]. Applied Optics, 1965, 4(7): 767-775. doi: 10.1364/AO.4.000767
|
[17] |
高萍萍, 陆敏, 王治乐, 等. 表面纳米粒子缺陷的偏振散射特性区分[J]. 中国光学,2020,13(5):975-987. doi: 10.37188/CO.2020-0083
GAO P P, LU M, WANG ZH L, et al. Differentiation of polarization scattering characteristics of surface nanoparticle defects[J]. Chinese Optics, 2020, 13(5): 975-987. (in Chinese). doi: 10.37188/CO.2020-0083
|
[18] |
巩蕾, 吴振森. 基片表面微球体纳米级缺陷的光散射分析[J]. 中国激光,2011,38(1):0110001. doi: 10.3788/CJL201138.0110001
GONG L, WU ZH S. Analysis of light scattering about slightly non-spherical nanoparticles on wafers[J]. Chinese Journal of Lasers, 2011, 38(1): 0110001. (in Chinese). doi: 10.3788/CJL201138.0110001
|
[19] |
BOBBERT P A, VILEGER J. Light scattering by a sphere on a substrate[J]. Physica A: Statistical Mechanics and Its Applications, 1986, 137(1-2): 209-242. doi: 10.1016/0378-4371(86)90072-5
|
[20] |
BOBBERT P A, VILEGER J, GREEF R. Light reflection from a substrate sparsely seeded with spheres - comparison with an ellipsometric experiment[J]. Physica A: Statistical Mechanics and Its Applications, 1986, 137(1-2): 243-257. doi: 10.1016/0378-4371(86)90073-7
|