Experimental Observation of Localized Modes in a Dielectric Square Resonator

TL;DR

This paper experimentally investigates localized electromagnetic modes in a dielectric square resonator, revealing their classical torus localization and developing a semiclassical model that matches observed field distributions.

Contribution

The study provides the first experimental analysis of mode localization in dielectric square resonators and introduces a semiclassical model aligning with experimental data.

Findings

Resonant modes are localized on classical tori.

Semiclassical model accurately predicts most observed modes.

Experimental data supports classical-quantum correspondence in dielectric resonators.

Abstract

We investigated the frequency spectra and field distributions of a dielectric square resonator in a microwave experiment. Since such systems cannot be treated analytically, the experimental studies of their properties are indispensable. The momentum representation of the measured field distributions shows that all resonant modes are localized on specific classical tori of the square billiard. Based on these observations a semiclassical model was developed. It shows excellent agreement with all but a single class of measured field distributions that will be treated separately.