Perturbative approach to Dynamical Casimir effect in an interface of dielectric mediums

TL;DR

This paper develops a perturbative method to analyze the dynamical Casimir effect at a dielectric interface with small displacements, deriving photon emission spectra and input-output relations in a 1+1D setting.

Contribution

It introduces a perturbative approach to quantify the dynamical Casimir effect at a dielectric interface with moving boundaries, providing analytical expressions for photon spectra and field relations.

Findings

Derived spectral distribution of emitted photons.

Established input-output relations for the field.

Quantified effects of small interface displacements.

Abstract

Electromagnetic field quantization in the presence of two semi-infinite dielectrics with moving interface is investigated in $1+1$-dimensional space-time. The moving interface is modeled for small displacements and the field equation is solved perturbatively. Input-output relations and spectral distribution of emitted photons are obtained and the effect of small transitions trough the interface discussed.