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Article

Numerical Approach for Studying the Evolution of the Degrees of Coherence of Partially Coherent Beams Propagation through an ABCD Optical System

by
Pujuan Ma
1,2,
Barbora Kacerovská
3,4,
Raha Khosravi
4,
Chunhao Liang
1,2,4,*,
Jun Zeng
2,
Xiaofeng Peng
2,
Chenkun Mi
2,
Yashar E. Monfared
5,
Yuping Zhang
6,
Fei Wang
2,* and
Yangjian Cai
1,2,*
1
Shandong Provincial Engineering and Technical Center of Light Manipulations & Shandong Provincial Key Laboratory of Optics and Photonic Device, School of Physics and Electronics, Shandong Normal University, Jinan 250014, China
2
School of Physical Science and Technology & Collaborative Innovation Center of Suzhou Nano Science and Technology, Soochow University, Suzhou 215006, China
3
Nanotechnology Centre, VSB—Technical University of Ostrava, 17. listopadu 15/2172, 708 33 Ostrava, Czech Republic
4
Department of Electrical and Computer Engineering, Dalhousie University, 6299 South St, Halifax, NS B3H 4R2, Canada
5
Department of Physics and Atmospheric Science, Dalhousie University, 6299 South St, Halifax, NS B3H 4R2, Canada
6
College of Electronic and Information Engineering, Shandong University of Science and Technology, Qingdao 266510, China
*
Authors to whom correspondence should be addressed.
Appl. Sci. 2019, 9(10), 2084; https://doi.org/10.3390/app9102084
Submission received: 18 April 2019 / Revised: 14 May 2019 / Accepted: 18 May 2019 / Published: 21 May 2019
(This article belongs to the Special Issue Recent Advances in Statistical Optics and Plasmonics)
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Abstract

In this paper, we propose a numerical approach to simulate the degree of coherence (DOC) of a partially coherent beam (PCB) with a Schell-model correlator in any transverse plane during propagation. The approach is applicable for PCBs whose initial intensity distribution and DOC distribution are non-Gaussian functions, even for beams for which it is impossible to obtain an analytical expression for the cross-spectral density (CSD) function. Based on our approach, numerical examples for the distribution of the DOC of two types of PCBs are presented. One type is the partially coherent Hermite–Gaussian beam. The simulation results of the DOC agree well with those calculated from the analytical formula. The other type of PCB is the one for which it is impossible to obtain an analytical expression of CSD. The evolution of the DOC with the propagation distance and in the far field is studied in detail. Our numerical approach may find potential applications in optical encryption and information transfer.
Keywords: partially coherent beam; degree of coherence; numerical approach; free-space propagation partially coherent beam; degree of coherence; numerical approach; free-space propagation

Share and Cite

MDPI and ACS Style

Ma, P.; Kacerovská, B.; Khosravi, R.; Liang, C.; Zeng, J.; Peng, X.; Mi, C.; Monfared, Y.E.; Zhang, Y.; Wang, F.; et al. Numerical Approach for Studying the Evolution of the Degrees of Coherence of Partially Coherent Beams Propagation through an ABCD Optical System. Appl. Sci. 2019, 9, 2084. https://doi.org/10.3390/app9102084

AMA Style

Ma P, Kacerovská B, Khosravi R, Liang C, Zeng J, Peng X, Mi C, Monfared YE, Zhang Y, Wang F, et al. Numerical Approach for Studying the Evolution of the Degrees of Coherence of Partially Coherent Beams Propagation through an ABCD Optical System. Applied Sciences. 2019; 9(10):2084. https://doi.org/10.3390/app9102084

Chicago/Turabian Style

Ma, Pujuan, Barbora Kacerovská, Raha Khosravi, Chunhao Liang, Jun Zeng, Xiaofeng Peng, Chenkun Mi, Yashar E. Monfared, Yuping Zhang, Fei Wang, and et al. 2019. "Numerical Approach for Studying the Evolution of the Degrees of Coherence of Partially Coherent Beams Propagation through an ABCD Optical System" Applied Sciences 9, no. 10: 2084. https://doi.org/10.3390/app9102084

APA Style

Ma, P., Kacerovská, B., Khosravi, R., Liang, C., Zeng, J., Peng, X., Mi, C., Monfared, Y. E., Zhang, Y., Wang, F., & Cai, Y. (2019). Numerical Approach for Studying the Evolution of the Degrees of Coherence of Partially Coherent Beams Propagation through an ABCD Optical System. Applied Sciences, 9(10), 2084. https://doi.org/10.3390/app9102084

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