| ELECTROMAGNETISM, OPTICS, ACOUSTICS, HEAT TRANSFER, CLASSICAL MECHANICS, AND FLUID DYNAMICS |
Prev
Next
|
|
|
Effective transmittance of Fabry—Perot cavity under non-parallel beam incidence |
| Yin-Sheng Lv(吕寅生)1, Pin-Hua Xie(谢品华)1,2,3,†, Jin Xu(徐晋)2,‡, You-Tao Li(李友涛)1, and Hua-Rong Zhang(张华荣)2 |
1 School of Environmental Science and Optoelectronic Technology, University of Science and Technology of China, Hefei 230026, China;
2 Key Laboratory of Environment Optics and Technology, Anhui Institute of Optics and Fine Mechanics, HFIPS, Chinese Academy of Sciences, Hefei 230031, China;
3 University of Chinese Academy of Sciences, Beijing 100049, China |
|
|
|
|
Abstract The Fabry—Pérot (FP) resonant cavity is widely used in laser and spectroscopic measurements due to its unique interference transfer function (ITF). In the ideal case of parallel incident light, the ITF of the FP resonant cavity can be expressed by the Airy function. However, in reality, it is difficult to achieve perfect parallelism with collimated beams. In this article, a theoretical model is established for non-parallel light incidence, which assumes that the non-parallel incident light is a cone-shaped beam, and the cone angle is used to quantify the non-parallelism of the beam. The transmittance function of the FP resonant cavity under non-parallel light incidence is derived. The accuracy of the model is experimentally verified. Based on this model, the effects of divergence angle, tilt angle and FP cavity parameters (reflectivity, cavity length) on the ITF are studied. The reasons for the decrease in peak value, broadening and asymmetry of the interference peak under non-parallel light incidence are explained. It is suggested that a fine balance between the interference peak and the collimation effect of the incident light should be considered in the design and application of FP resonant cavities, especially for tilted applications such as angle-scanned spectroscopy. The research results of this article have certain significance for the design and application of FP resonant cavities.
|
Received: 29 June 2023
Revised: 09 October 2023
Accepted manuscript online: 22 November 2023
|
|
PACS:
|
42.25.Hz
|
(Interference)
|
| |
42.79.-e
|
(Optical elements, devices, and systems)
|
| |
42.15.Dp
|
(Wave fronts and ray tracing)
|
| |
42.25.Bs
|
(Wave propagation, transmission and absorption)
|
|
| Fund: Project supported by the National Natural Science Foundation of China (Grant No. U19A2044), the National Natural Science Foundation of China (Grant No. 41975037), and the Key Technologies Research and Development Program of Anhui Province (Grant No. 202004i07020013). |
Corresponding Authors:
Pin-Hua Xie, Jin Xu
E-mail: phxie@aiofm.ac.cn;jxu@aiofm.ac.cn
|
Cite this article:
Yin-Sheng Lv(吕寅生), Pin-Hua Xie(谢品华), Jin Xu(徐晋), You-Tao Li(李友涛), and Hua-Rong Zhang(张华荣) Effective transmittance of Fabry—Perot cavity under non-parallel beam incidence 2024 Chin. Phys. B 33 014210
|
[1] Perot A and Fabry C 1899 ApJ 9 87
[2] Treanor P J 1948 Nature 162 885
[3] Bond C, Brown D, Freise A and Strain K A 2016 Living Rev. Relativ. 19 3
[4] Shijun X and Weiner A M 2005 IEEE Photonic Tech. Lett. 17 372
[5] Fuchs C, Kuhn J, Bobrowski N and Platt U 2021 Atmos. Meas. Tech. 14 295
[6] Lv Y, Xie P, Xu J, Li A, Hu Z, Li Y, Zhang H, Zhang Z, Tian X, Hu F, Zheng J and Ye Y 2023 Opt. Express 31 2602
[7] Kim H T, Hwang W, Liu Y and Yu M 2020 Opt. Express 28 29937
[8] Quan M, Tian J and Yao Y 2015 Opt. Lett. 40 4891
[9] Wang X D and Wolfbeis O S 2020 Anal. Chem. 92 397
[10] Ismail N, Kores C C, Geskus D and Pollnau M 2016 Opt. Express 24 16366
[11] Suter M and Dietiker P 2014 Appl. Opt. 53 7004
[12] Kuhn J, Platt U, Bobrowski N and Wagner T 2019 Atmos. Meas. Tech. 12 735
[13] Vargas-Rodrguez E and Rutt H N 2009 Sensors and Actuators B:Chemical 137 410
[14] Marques D M, Guggenheim J A and Munro P R T 2021 Opt. Express 29 24144
[15] Marques D M, Guggenheim J A and Munro P R T 2021 Opt. Express 29 21603
[16] Marques D M, Guggenheim J A and Munro P R T 2022 Opt. Express 30 46294
[17] Marques D M, Guggenheim J A, Ansari R, Zhang E Z, Beard P C and Munro P R T 2020 Opt. Express 28 7691
[18] Lee J Y, Hahn J W and Lee H W 2002 J. Opt. Soc. Am. A 19 973
[19] Xia G, Wu Z, Liu M and Pan Y 2003 Optik 114 521
[20] Shen F, Wang Y, Shi W, Chen Y, Liu M and Guo W 2017 LIDAR Imaging Detection and Target Recognition 2017 (SPIE) Vol. 10605 |
| No Suggested Reading articles found! |
|
|
Viewed |
|
|
|
Full text
|
|
|
|
|
Abstract
|
|
|
|
|
Cited |
|
|
|
|
Altmetric
|
|
blogs
Facebook pages
Wikipedia page
Google+ users
|
Online attention
Altmetric calculates a score based on the online attention an article receives. Each coloured thread in the circle represents a different type of online attention. The number in the centre is the Altmetric score. Social media and mainstream news media are the main sources that calculate the score. Reference managers such as Mendeley are also tracked but do not contribute to the score. Older articles often score higher because they have had more time to get noticed. To account for this, Altmetric has included the context data for other articles of a similar age.
View more on Altmetrics
|
|
|
