Revival and splitting of a Gaussian beam in gradient index media

TL;DR

This paper investigates the revival and splitting of off-axis Gaussian beams in quadratic GRIN media, extending previous models by using a second-order approximation of the propagation operator for more accurate long-distance predictions.

Contribution

It introduces a second-order approximation approach to analyze beam revival and splitting in quadratic GRIN media, improving upon the first-order models.

Findings

Enhanced accuracy in predicting beam revival and splitting at longer distances.

Demonstration of multiple beam splitting phenomena in quadratic GRIN media.

Validation of second-order approximation effectiveness.

Abstract

The short range revival of an arbitrary monochromatic optical field, which propagates in a quadratic GRIN rod, is a well-known effect that is established assuming the first-order approximation of the propagation operator. We discuss the revival and multiple splitting of an off-axis Gaussian beam propagating to relatively long distances in a quadratic GRIN medium. These effects are obtained assuming the second-order approximation of the propagation operator in this medium.