Exploring non-Euclidean photonics: Pseudosphere microlaser

TL;DR

This paper investigates the classical and wave behaviors of pseudosphere-shaped microlasers, revealing their similarities to flat disks despite negative curvature, through experiments and simulations.

Contribution

It introduces high-quality fabricated pseudosphere microlasers and analyzes their optical properties, deriving monodromy matrices and demonstrating their integrability and geodesic stability.

Findings

Pseudosphere microlasers behave similarly to flat disks.

Periodic geodesics are marginally stable.

The system is integrable due to rotational symmetry.

Abstract

Classical and wave properties of microlasers with the shape of a truncated pseudosphere are investigated through experiments and numerical simulations. These pseudosphere microlasers are surface-like organic microlasers with constant negative curvature, which were fabricated with high optical quality by direct laser writing. It is shown that they behave, in many ways, similar to two-dimensional flat disks, regardless of their different Gaussian curvature. We derive the monodromy matrices for geodesics on the pseudosphere and demonstrate that the periodic geodesics are marginally stable. Actually, due to the rotational symmetry, the pseudosphere is an integrable system.