Volume 13 Issue 3
Jun.  2020
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Chinese Optics  > 2020  >  13(3): 637-645.
SONG Dong-sheng, ZHENG Yuan-lin, LIU Hu, HU Wei-xing, ZHANG Zhi-yun, CHEN Xian-feng. Eigen generalized Jones matrix method[J]. Chinese Optics, 2020, 13(3): 637-645. doi: 10.3788/CO.2019-0163
Citation: SONG Dong-sheng, ZHENG Yuan-lin, LIU Hu, HU Wei-xing, ZHANG Zhi-yun, CHEN Xian-feng. Eigen generalized Jones matrix method[J]. Chinese Optics, 2020, 13(3): 637-645. doi: 10.3788/CO.2019-0163
shu

Eigen generalized Jones matrix method

  • 1.

    Luoyang Electronic Equipment Test Center of China, Luoyang 471000, China

  • 2.

    State Key Laboratory of Advanced Optical Communication Systems and Networks, School of Physics and Astronomy, Shanghai Jiao Tong University, Shanghai 200240, China

  • 3.

    Key Laboratory for Laser Plasma (Ministry of Education), IFSA Collaborative Innovation Center, Shanghai Jiao Tong University, Shanghai 200240, China

Funds:  Supported by National Natural Science Foundation of China (No. 11734011); Foundation for Development of Science and Technology of Shanghai (No. 17JC1400402)
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  • Author Bio:

    SONG Dong-sheng (1985—), Male, born in Zhengzhou City, Henan Province. M.Sc., Graduated from Shanghai Jiao Tong University in 2018. Engineer, Luoyang Electronic Equipment Test Center of China. His research interests are on nonlinear optics, frequency conversion and light field regulation. E-mail: sds0754@alumni.sjtu.edu.cn

  • Corresponding author: sds0754@alumni.sjtu.edu.cn
  • Received Date: 05 Aug 2019
  • Rev Recd Date: 29 Sep 2019
  • Publish Date: 01 Jun 2020
    Abstract
  • A differential generalized Jones matrix method (dGJM) was recently introduced by Ortega-Quijano and colleagues to derive the GJM for modelling uniaxial and biaxial crystals with arbitrary orientations in laboratory coordinate systems. Later, we propose an eigen generalized Jones matrix method to simulate the phase and polarization of fully polarized light propagating in an anisotropic crystal when the optical axis orientations and light directions are both arbitrary. In our method, we use physics that are equivalent in principle to those of Ortega-Quijano, but we use a modified mathematical technique. We introduce the eigen generalized Jones matrix in the intrinsic coordinate system to precisely calculate the phase and polarization of the light, which overcomes the limitations of the differential generalized Jones matrix method. The simulation results indicate that our method can be used to calculate the polarization distribution, regardless of how the light beam and optical axis positioned, or whether the light beam has a vortex.

     

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