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

Abstract

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.

DOI: 10.1364/JOSAA.33.000663

Cite this paper

@article{Kiselev2016LaplaceGaussAH, title={Laplace-Gauss and Helmholtz-Gauss paraxial modes in media with quadratic refraction index.}, author={Aleksei P. Kiselev and Alexandr B. Plachenov}, journal={Journal of the Optical Society of America. A, Optics, image science, and vision}, year={2016}, volume={33 4}, pages={663-6} }