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TT: Fachverband Tiefe Temperaturen
TT 59: Quantum Chaos (joint session DY/TT)
TT 59.5: Vortrag
Freitag, 21. März 2025, 12:30–12:45, H37
Phase-space representations and exceptional points of coupled polarized modes in cylindrical cavities — •Tom Rodemund1, Shilong Li2, Síle Nic Chormaic3, and Martina Hentschel1 — 1Institute of Physics, Chemnitz University of Technology, Chemnitz, Germany — 2College of Information Science and Electronic Engineering, Zhejiang University, Hangzhou, China — 3Okinawa Institute of Science and Technology Graduate University, Okinawa, Japan
% Optical microcavities are often assumed to be two-dimensional (2D). This allows a convenient phase-space representation in 2D, where Poincaré surface of section for particle dynamics and the Husimi function for their wave counterpart are prominent methods. Here we extend the concept of Husimi functions for open systems [1] to three-dimensional (3D) optical microcavities of arbitrary shape. In particular we study deformed cylindrical cavities and illustrate their mode dynamics in terms of generalized Husimi functions.
The coupling between the two different polarizations (TE and TM) is a new feature in realistic 3D optical cavities that is not present in 2D. We find the interaction of polarized modes to be governed by a network of exceptional points that reflects the openness, or non-Hermiticity, of the system. The mode coupling is analyzed using the extended Husimi formalism that we find to be a comprehensive and useful way to represent the mode structure of 3D microcavities [2].
[1] Hentschel et al., Europhys. Lett. 62 636 (2003)
[2] Rodemund et al., to be submitted.
Keywords: optical microcavity; phase-space analysis; non-Hermitian; exceptional point