Laplace-Gauss and Helmholtz-Gauss paraxial modes in media with quadratic refraction index

Kiselev Aleksei P.; Plachenov Alexandr B.

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Laplace-Gauss and Helmholtz-Gauss paraxial modes in media with quadratic refraction index

机译：具有二次折射率的介质中的Laplace-Gauss和Helmholtz-Gauss近轴模式

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The scalar theory of paraxial wave propagation in an axisymmetric medium where the refraction index quadratically depends on transverse variables is addressed. Exact solutions of the corresponding parabolic equation are presented, generalizing the Laplace-Gauss and Helmholtz-Gauss modes earlier known for homogeneous media. Also, a generalization of a zero-order asymmetric Bessel-Gauss beam is given. (C) 2016 Optical Society of America

机译：提出了轴对称介质中近轴波传播的标量理论，在该理论中，折射率二次取决于横向变量。给出了相应抛物线方程的精确解，推广了早先已知于均质介质的Laplace-Gauss和Helmholtz-Gauss模式。另外，给出了零阶非对称贝塞尔高斯光束的推广。（C）2016美国眼镜学会

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《Journal of the Optical Society of America, A. Optics, image science, and vision》 |2016年第4期|共4页
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Kiselev Aleksei P.; Plachenov Alexandr B.;
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中图分类光学;
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1. Laplace-Gauss and Helmholtz-Gauss paraxial modes in media with quadratic refraction index [J] . Kiselev Aleksei P., Plachenov Alexandr B. Journal of the Optical Society of America, A. Optics, image science, and vision . 2016,第4期

机译：具有二次折射率的介质中的Laplace-Gauss和Helmholtz-Gauss近轴模式
2. SOLUTION OF PARAXIAL WAVE EQUATION FOR INHOMOGENEOUS MEDIA IN LINEAR AND QUADRATIC APPROXIMATION [J] . Mahalov Alex, Suslov Sergei K. Proceedings of the American Mathematical Society . 2015,第2期

机译：线性和二次逼近中非均质介质副波方程的解
3. Paraxial imaging and walk-off effects with birefringent media in refracting surfaces, lenses, and slabs [J] . Luc Dettwiller Applied optics . 2008,第3期

机译：在折射表面，透镜和平板中使用双折射介质进行近轴成像和分离效应
4. Non-Paraxial Polarizer Model Based on Optically Anisotropic Media Theory [C] . Site Zhang, Christian Hellmann, Frank Wyrowski Conference on Lasers and Electro-Optics . 2019

机译：基于光学各向异性介质理论的非近轴偏振器模型
5. Molecular dynamics of sodium using linear quadratic and linear plus quadratic model potentials. [D] . Natverbhai, Patel Vimal. 2006

机译：钠的分子动力学，使用线性二次方和线性加二次方模型电势。
6. Modeling Light Scattering in Tissue as Continuous Random Media Using a Versatile Refractive Index Correlation Function [O] . Jeremy D. Rogers, Andrew J. Radosevich, Ji Yi, -1

机译：使用多功能折射率相关函数将组织中的光散射建模为连续随机介质
7. Paraxial imaging and walk-off effects with birefringent media in refracting surfaces, lenses, and slabs [O] . Dettwiller, Luc 2008

机译：在折射表面，透镜和平板中使用双折射介质进行近轴成像和分离效应
8. Paraxial Approximations for Ultrasonic Beam Propagation in Liquid and Solid Media with Applications to Nondestructive Evaluation [R] . Newberry, B. P. 1989

机译：液体和固体介质中超声波束传播的近轴近似及其在无损评估中的应用

Laplace-Gauss and Helmholtz-Gauss paraxial modes in media with quadratic refraction index

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