Dynamical oscillations in nonlinear optical media

TL;DR

This paper investigates the spatial dynamics of pulses in nonlinear Kerr media with a parabolic index profile, revealing oscillatory behaviors dependent on the signs of diffraction and index profile, and how misalignment affects pulse oscillations.

Contribution

It provides new insights into the conditions under which oscillations occur in nonlinear optical media with graded-index profiles, highlighting the role of diffraction and index sign relationships.

Findings

Oscillatory pulse behavior occurs when diffraction and index have opposite signs.

Pulse oscillates around the index origin if not aligned, with frequency depending on diffraction and refractive index.

No oscillations observed when diffraction and index share the same sign.

Abstract

The spatial dynamics of pulses in Kerr media with parabolic index profile are examined. It is found that when diffraction and graded-index have opposite signs propagating pulses exhibit an oscillatory pattern, similar to a breathing behavior. Furthermore, if the pulse and the index profile are not aligned the pulse oscillates around the index origin with frequency that depends on the values of the diffraction and index of refraction. These oscillations are not observed when diffraction and graded-index share the same sign.