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arXiv · 2001.03456

Laguerre-Gaussian wave propagation in parabolic media

S. Cruz y Cruz·Z. Gress·P. Jimenez-Macias·Oscar Rosas-Ortiz
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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.

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S. Cruz y Cruz, Z. Gress, P. Jimenez-Macias, Oscar Rosas-Ortiz. 2020-01-09. Laguerre-Gaussian wave propagation in parabolic media. https://doi.org/10.1007/978-3-030-53305-2_8

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