本征广义琼斯矩阵方法

宋东升; 郑远林; 刘虎; 胡维星; 张志云; 陈险峰

doi:10.3788/CO.2019-0163

本征广义琼斯矩阵方法

宋东升^{1, 2, 3, ,},
郑远林^{2, 3},
刘虎¹,
胡维星¹,
张志云¹,
陈险峰^{2, 3}

1.
中国洛阳电子对抗试验中心，河南洛阳 471000
2.
上海交通大学物理与天文学院先进光通讯网络与系统国家重点实验室，上海 200240
3.
上海交通大学激光等离子体重点实验室 IFSA协作创新中心，上海 200240

详细信息

中图分类号: O436.3
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出版历程
- 收稿日期: 2019-08-05
- 修回日期: 2019-09-29
- 刊出日期: 2020-06-01

Eigen generalized Jones matrix method

doi: 10.3788/CO.2019-0163

SONG Dong-sheng^{1, 2, 3
, ,},
ZHENG Yuan-lin^{2, 3},
LIU Hu¹,
HU Wei-xing¹,
ZHANG Zhi-yun¹,
CHEN Xian-feng^{2, 3}

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)

More Information

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

摘要

摘要: 为了描述完全偏振光在非线性晶体中传播时的偏振态及相位变化，本文基于Ortega-Quijano等人在推导非线性晶体的广义琼斯矩阵时采用的微分广义琼斯矩阵方法，提出了本征广义琼斯矩阵方法。与微分广义琼斯矩阵方法相比，本征广义琼斯矩阵方法使用了更精确的数学技巧，在描述光在非线性晶体中传播的物理过程上更为严谨。解决了微分广义琼斯矩阵不能计算斜入射光或者光轴与实验室坐标不重合时光的偏振变化的问题。首先，根据折射率椭球方程和光的入射方向，计算出非线性晶体中本征光的传播方向和折射率。然后，给出了本征光的本征广义琼斯矩阵。最后，计算了本征光的偏振态和相位变化。本文使用本征广义琼斯矩阵对带有一个奇点的涡旋光在KDP晶体中的传播情况进行模拟计算，计算结果表明，本征广义琼斯矩阵方法能够描述任意入射角度、任意光轴方向的完全偏振光在非线性晶体中的传播过程。
- 本征广义琼斯矩阵方法 /
- 偏振和相位 /
- 非线性晶体 /
- 涡旋光
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.
- eigen general Jones matrix method /
- phase and polarization /
- anisotropic crystal /
- vortex

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Figure 1. Schematic diagram of the three coordinate systems. The black, blue, and red axes represent the laboratory, principal, and eigen coordinates, respectively. z₁ and z₂ are the optical axes.

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Figure 2. Spatial distributions of the polarization state. (a) Original linear polarization. (b) Left(right) polarization. (c) Circular polarization. (d) Right(left) polarization. (e) Opposite linear polarization.

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Figure 3. Change in walk-off angle with θ_z.

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Figure 4. Spatial distributions of the polarization state with a right direction walk-off effect. (a) Original linear polarization. (b) Left (right) polarization. (c) Circular polarization. (d) Right (left) polarization. (e) Opposite linear polarization.

下载: 全尺寸图片幻灯片

Figure 5. Change in walk-off angle with (θ, φ)

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Figure 6. Spatial distributions of the polarization state with a upward-right direction walk-off effect. (a) Original linear polarization. (b) Left(right) polarization. (c) Circular polarization. (d) Right(left) polarization. (e) Opposite linear polarization.

下载: 全尺寸图片幻灯片

Figure 7. Phase difference and polarization. (a) Phase difference of the refracted light beam in birefringent crystals. (b) Polarization of reflection and refracted light beam at the interface in birefringent crystals.

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Figure 8. (a) Experimental image and (b) simulation results of proposed method.

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