Laguerre-Gaussian wave propagation in parabolic media
Optics
2020-11-04 v1 Quantum Physics
Abstract
We report a new set of Laguerre-Gaussian wave-packets that propagate with periodical self-focusing and finite beam width in weakly guiding inhomogeneous media. These wave-packets are solutions to the paraxial form of the wave equation for a medium with parabolic refractive index. The beam width is defined as a solution of the Ermakov equation associated to the harmonic oscillator, so its amplitude is modulated by the strength of the medium inhomogeneity. The conventional Laguerre-Gaussian modes, available for homogenous media, are recovered as a particular case.
Keywords
Cite
@article{arxiv.2001.03456,
title = {Laguerre-Gaussian wave propagation in parabolic media},
author = {S. Cruz y Cruz and Z. Gress and P. Jimenez-Macias and Oscar Rosas-Ortiz},
journal= {arXiv preprint arXiv:2001.03456},
year = {2020}
}
Comments
11 pages, 5 figures