Method of images applied to an opto-mechanical Fabry-Perot resonator

TL;DR

This paper applies the method of images to an opto-mechanical Fabry-Perot resonator with charged mirrors, revealing relativistic motion of high-order images and exploring their radiation emission implications.

Contribution

It introduces a novel application of the method of images to analyze relativistic effects in a superconducting opto-mechanical resonator.

Findings

High-order images can move relativistically at high Q factors.

Relativistic motion influences electromagnetic and gravitational radiation emission.

The study links optical resonator dynamics with relativistic charge motion.

Abstract

The method of images, when applied to an opto-mechanical Fabry-Perot resonator with a heavy, charged mirror, and a light, charged mirror that can be driven into motion, reveals that the highest order images can move relativistically when the Q of the superconducting resonator is on the order of 10^10. The implications of such relativistic motions of the charge and mass of these images to the emission of electromagnetic and gravitational radiation within the resonator is explored.