光谱学与光谱分析 |
|
|
|
|
|
Optical Path Difference in Off-Plane Quasi-Littrow Dispersion Mountings |
ZHANG Yin-xin1, YANG Huai-dong2*, HUANG Zhan-hua1, JIN Guo-fan2 |
1. College of Precision Instrument and Opto-electronics Engineering, Key Laboratory of Opto-electronics Information Technology(Tianjin University)of the Ministry of Education, Tianjin University, Tianjin 300072, China 2. State Key Laboratory of Precision Measurement Technology and Instruments, Tsinghua University, Beijing 100084, China |
|
|
Abstract The present paper analyzes the relative relation between the meridian and sagittal rays in off-plane quasi-Littrow (OP-QL) dispersion mountings. It’s concluded that the off-plane angle will cause the rotation of the beam and result in the mismatch between the sagittal beams on different optical elements. Therefore the total optical path difference (OPD) should be an accumulation of corresponding beams instead of the sagittal beam of each element itself. Then, a directional derivative based method is put forward to calculate the OPD for spherical mirrors in various directions. Based on the method, the numerical OPD for OP-QL mountings is solved. Finally, this methodology is validated with both echelette and echelle examples.
|
Received: 2012-11-13
Accepted: 2013-03-04
|
|
Corresponding Authors:
YANG Huai-dong
E-mail: yanghd@tsinghua.edu.cn
|
|
[1] Zhao F Y. Journal of Modern Optics, 1991, 38(11): 2241. [2] Lu Patrick P, Sun Kexun, Byer Robert L, et al. Optics Letters, 2009, 34(11): 1708. [3] Dennis Nevejans, Eddy Neefs, Emiel Van Ransbeeck, et al. Applied Optics, 2006, 45(21): 5191. [4] Britzger M, Khalaidovski A, Hemb B, et al. Optics Letters, 2012, 37(15): 3117. [5] Michael Britzger, Maximilian H Wimmer, Alexander Khalaidovski, et al. Optics Express, 2012, 20(23): 25400. [6] Ronald Masters, Chunming Hsiech, Harry L Pardue. Applied Optics, 1988, 27(18): 3895. [7] Schroeder Daniel J,Hilliard R L. Applied Optics, 1980, 19(16): 2833. [8] Peter Lindblom. Journal of the Optical Society of America, 1972, 62(6): 756. [9] Beutler H G. Journal of the Optical Society of America, 1945, 35(5): 311. [10] Namioka T. Journal of the Optical Society of America, 1959, 49(5): 446. |
[1] |
JIN Hua-wei1, 2, 3, XIE Pin-hua1, 2, HU Ren-zhi1, 2*, LIU Wen-qing1, 2, LI Zhi-yan1, 2, CHEN Hao1, 2, HUANG Chong-chong1, 2. Study on Photo-Acoustic Spectrum Detection Technology of Respiratory Dust Absorption Coefficient[J]. SPECTROSCOPY AND SPECTRAL ANALYSIS, 2019, 39(07): 1993-1998. |
[2] |
LÜ Mo1, WANG Yi-ding1*, CHEN Chen2*. Development of Mid-Infrared Trace-CO Detector with Long-Path Differential Optical Absorption Spectroscopy (LP-DOAS)[J]. SPECTROSCOPY AND SPECTRAL ANALYSIS, 2017, 37(07): 2278-2282. |
[3] |
LIN Jun, SHAO Jun, SONG Chao-yu,LI Yun-wei, LEI Yu-fei . High Precision Spectral Calibration Method of Fourier Interferometric Spectrometer [J]. SPECTROSCOPY AND SPECTRAL ANALYSIS, 2015, 35(12): 3534-3537. |
[4] |
FENG Ming-chun, LIU Wen-qing, XU Liang*, GAO Min-guang, WEI Xiu-li, TONG Jing-jing, LI Xiang-xian . Optical Path Difference Analysis and Simulation of Four Typical Rotary Type Interferometer [J]. SPECTROSCOPY AND SPECTRAL ANALYSIS, 2015, 35(11): 3214-3219. |
[5] |
ZHANG Rui1, 2, 3, WANG Zhi-bin1, 2, 3, WANG Yao-li1, 2, 3, CHEN You-hua1, 2, 3, CHEN Yuan-yuan1, 2, 3 . The Study of Large OPD’s PEM Based on Micro Trapezoidal Photo-Elastic Crystals [J]. SPECTROSCOPY AND SPECTRAL ANALYSIS, 2015, 35(07): 1812-1816. |
[6] |
ZHANG Min-juan3, WANG Zhi-bin1, 2, 3, LI Xiao3, LI Jin-hua3, WANG Yan-chao3 . The Stability and Measuring Technology of the Maximum Optical Path Difference of Photo-Elastic Modulator Interferograms [J]. SPECTROSCOPY AND SPECTRAL ANALYSIS, 2015, 35(05): 1436-1439. |
[7] |
LIAN Yu-sheng, LIAO Ning-fang, Lü Hang, WU Wen-min, DONG Zhi-gang . A Novel Spatial Modulation Fourier Transform Spectrometer with Adjustable Spectral Resolution[J]. SPECTROSCOPY AND SPECTRAL ANALYSIS, 2014, 34(11): 3136-3140. |
[8] |
LIU Qing1, 2, ZHOU Jin-song1*, NIE Yun-feng1, Lü Qun-bo1 . Manufacture Tolerance Analysis of Solid Mach-Zehnder Interferometer in Large Aperture Static Imaging Spectrometer (LASIS)[J]. SPECTROSCOPY AND SPECTRAL ANALYSIS, 2014, 34(07): 2000-2004. |
[9] |
WANG Yan-chao1, WANG Zhi-bin1, 2, ZHANG Ji-long1, 2, CHEN You-hua1 . Temperature Compensation Strategy and Implementation for Photoelectric Modulation Interferometer with Large Optical Path Difference [J]. SPECTROSCOPY AND SPECTRAL ANALYSIS, 2013, 33(05): 1429-1432. |
[10] |
GAO Hong-zhi, LU Qi-peng*, DING Hai-quan. Study of the Calibration Model of Different Pathlength Spectra in Near Infrared Noninvasive Biochemical Sensing [J]. SPECTROSCOPY AND SPECTRAL ANALYSIS, 2012, 32(05): 1423-1426. |
[11] |
ZHOU Jin-song1,XIANGLI Bin1,WEI Ru-yi2*,JING Juan-juan2 . General Expression of Optic Path Difference of Reflecting Rotating Fourier Transform Spectrometer [J]. SPECTROSCOPY AND SPECTRAL ANALYSIS, 2011, 31(01): 263-266. |
[12] |
JING Juan-juan1, 2, ZHOU Jin-song3*, XIANGLI Bin3, Lü Qun-bo3,WEI Ru-yi1,2 . Comparison of Correction Methods for Nonlinear Optic Path Difference of Reflecting Rotating Fourier Transform Spectrometer [J]. SPECTROSCOPY AND SPECTRAL ANALYSIS, 2010, 30(06): 1678-1682. |
[13] |
XIANGLI Bin1, Lü Qun-bo1, HUANG Min1, 3, YAO Tao2, 3 . Comparison of Two Types of Fourier Transform Imaging Spectrometry [J]. SPECTROSCOPY AND SPECTRAL ANALYSIS, 2010, 30(05): 1422-1426. |
|
|
|
|