The Casimir force between dissimilar mirrors and the role of the surface plasmons

TL;DR

This paper analyzes how the Casimir force varies between dissimilar mirrors with different material properties, emphasizing the role of surface plasmons and conditions for Casimir repulsion.

Contribution

It provides analytical expressions for the Casimir force between dissimilar mirrors and explores the influence of surface plasmons on force behavior and repulsion conditions.

Findings

Analytical short and long distance asymptotes of the Casimir force.

Surface plasmons significantly influence force behavior.

Conditions for achieving Casimir repulsion are discussed.

Abstract

We investigate the Casimir force between two dissimilar plane mirrors the material properties of which are described by Drude or Lorentz models. We calculate analytically the short and long distance asymptote of the force and relate its behavior to the influence of interacting surface plasmons. In particular we discuss conditions under which Casimir repulsion could be achieved.