Radiation from accelerated perfect or dispersive mirrors following prescribed relativistic asymptotically inertial trajectories

TL;DR

This paper investigates radiation emission from perfect and dispersive mirrors following specific relativistic trajectories that start and end at inertial motion, providing exact calculations of Bogolubov coefficients and a formalism for dispersive cases.

Contribution

It introduces a formalism for analyzing radiation from dispersive mirrors and provides exact calculations for specific relativistic trajectories, enhancing understanding of mirror-induced radiation.

Findings

Exact Bogolubov coefficients calculated for specific trajectories

Analytic properties of amplitudes analyzed under unitarity constraints

Formalism developed for dispersive mirror radiation emission

Abstract

We address the question of radiation emission from both perfect and dispersive mirrors following prescribed relativistic trajectories. The trajectories considered are asymptotically inertial: the mirror starts from rest and eventually reverts to motion at uniform velocity. This enables us to provide a description in terms of in and out states. We calculate exactly the Bogolubov alpha and beta coefficients for a specific form of the trajectory, and stress the analytic properties of the amplitudes and the constraints imposed by unitarity. A formalism for the description of emission of radiation from a dispersive mirror is presented.