Are Fresnel filtering and the angular Goos-H\"anchen shift the same?

TL;DR

This paper investigates whether Fresnel filtering and the angular Goos-H"anchen shift are fundamentally the same phenomenon, finding they are caused by the same principle but differ in their definitions within optical beam shifts.

Contribution

The paper demonstrates that Fresnel filtering and the angular Goos-H"anchen shift are fundamentally related phenomena caused by the same principle, clarifying their similarities and differences.

Findings

Both effects are caused by the same underlying principle.

They have been defined differently in the literature.

The effects are part of the broader context of optical beam shifts.

Abstract

The law of reflection and Snell's law are among the tenets of geometrical optics. Corrections to these laws in wave optics are respectively known as the angular Goos-H\"anchen shift and Fresnel filtering. In this paper we give a positive answer to the question of whether the two effects are common in nature and we study both effects in the more general context of optical beam shifts. We find that both effects are caused by the same principle, but have been defined differently. We identify and discuss the similarities and differences that arise from the different definitions.