Efficient Computation of Casimir Interactions between Arbitrary 3D Objects

TL;DR

This paper presents a new efficient method for calculating Casimir forces between complex 3D objects, including those with sharp corners and irregular shapes, enabling predictions for experimentally relevant geometries.

Contribution

The paper introduces a novel computational technique that handles arbitrary 3D geometries for Casimir interactions, surpassing previous methods in flexibility and applicability.

Findings

First predictions of Casimir forces in crossed cylinders

First predictions for tetrahedral nanoparticles

Method efficiently handles complex geometries with sharp features

Abstract

We introduce an efficient technique for computing Casimir energies and forces between objects of arbitrarily complex 3D geometries. In contrast to other recently developed methods, our technique easily handles non-spheroidal, non-axisymmetric objects and objects with sharp corners. Using our new technique, we obtain the first predictions of Casimir interactions in a number of experimentally relevant geometries, including crossed cylinders and tetrahedral nanoparticles.