Measurement of the Goos-H\"anchen shift in a microwave cavity

TL;DR

This paper measures the Goos-H"anchen shift in a microwave cavity using phase-resolved field measurements, comparing experimental results with classical and numerical predictions.

Contribution

It introduces a method to directly measure the Goos-H"anchen shift in a microwave cavity through phase-resolved field analysis, providing experimental validation.

Findings

Measured shifts agree with Artmann's classical prediction

Numerical calculations with Gaussian beams match experimental data

Demonstrated phase-resolved measurement technique for beam shifts

Abstract

We present measurements of the Goos-H\"anchen shift in a two-dimensional dielectric microwave cavity. Microwave beams are generated by a suitable superposition of the spherical waves generated by an array of antennas; the resulting beams are then reflected at a planar interface. By measuring the electric field including its phase, Poynting vectors of the incoming and reflected beams can be extracted, which in turn are used to find the incoming angle and the positions where the beam hits the interface and where it is reflected. These positions directly yield the Goos-H\"anchen shift. The results are compared to the classical Artmann result and a numerical calculation using Gaussian beams.