Goos-H\"anchen and Imbert-Fedorov shifts for paraxial X-Waves

TL;DR

This paper theoretically investigates how the Goos-Hänchen and Imbert-Fedorov shifts of X-waves are influenced by their spectral and spatial properties during reflection, highlighting observable effects of temporal chirp and bandwidth.

Contribution

It introduces a theoretical framework linking spectral and spatial features of X-waves to their reflection-induced shifts, emphasizing the role of temporal chirp and bandwidth.

Findings

Temporal chirp affects spatial shifts

Bandwidth influences spatial shifts

Angular shifts are spectral feature independent

Abstract

We present a theoretical analysis for the \GH and \IF shifts experienced by an X-wave upon reflection from a dielectric interface. We show that the temporal chirp, as well as the bandwidth of the X-wave directly affect the spatial shifts in a way that can be experimentally observed, while the angular shifts do not depend on the spectral features of the X-Wave. A dependence of the spatial shifts on the spatial structure of the X-wave is also discussed.