Interference of Laguerre--Gaussian beams for reflection by dielectric slab

TL;DR

This paper investigates how Laguerre-Gaussian beams reflect off dielectric slabs, revealing resonant shifts and interference effects that depend on the beam's orbital angular momentum, leading to structured reflected profiles.

Contribution

It demonstrates the dependence of Goos-H"{a}nchen and Imbert-Federov shifts on orbital angular momentum and reveals interference-induced structured reflection profiles.

Findings

Resonant behavior of beam shifts during reflection.

Strong dependence of shifts on orbital angular momentum m.

Structured reflected beam profiles due to interference.

Abstract

We study reflection of TE Laguerre-Gaussian light beam by dielectric slab and show that the Goos-H\"{a}nchen and the Imbert-Federov shifts show resonant behavior following to the behavior of the reflection. Moreover the Imbert-Federov linear and the Goos-H\"{a}nchen angular shifts strongly depend on the orbital angular momentum m. Due to destructive interference of two beams reflected from upper and down interfaces of the slab profile of the reflected light beam acquires structure which distinctively displays an amount of m.