# The oscillatory behavior of light in the composite Goos-Haenchen shift

## TL;DR

This paper investigates the oscillatory behavior of light in the composite Goos-Haenchen shift during critical incidence, revealing conditions under which axial lateral displacement oscillates, with potential implications for optical applications.

## Contribution

It identifies conditions for oscillatory axial lateral displacement in the composite Goos-Haenchen shift, a phenomenon not previously characterized.

## Key findings

- Oscillatory behavior occurs under specific conditions during critical incidence.
- The axial lateral displacement depends on the propagation coordinate.
- Potential for new optical applications based on this oscillation.

## Abstract

For incidence in the critical region, the propagation of gaussian lasers through triangular dielectric blocks is characterized by the joint action of angular deviations and lateral displacements. This mixed effect, known as composite Goos-Haenchen shift, produces a lateral displacement dependent on the axial coordinate, recently confirmed by a weak measurement experiment. We discuss under which conditions this axial lateral displacement, which only exists for the composite Goos-Haenchen shift, presents an oscillatory behavior. This oscillation phenomenon shows a peculiar behavior of light for critical incidence and, if experimentally tested, could stimulate further theoretical studies and lead to interesting optical applications.