High-accuracy Casimir-Polder force calculations using the Discontinuous Galerkin Time-Domain method

TL;DR

This paper introduces a highly accurate time-domain numerical method for calculating Casimir-Polder forces near complex micro-structured materials, capable of handling advanced material models including nonlocal responses.

Contribution

The paper presents a novel time-domain approach that achieves high accuracy and broad material model compatibility for Casimir-Polder force calculations.

Findings

Average relative errors as low as a few parts in a million.

Validated method through convergence studies and analytical comparisons.

Demonstrated anisotropy-induced repulsion near a gold wedge.

Abstract

We describe a numerical time-domain approach for high-accuracy calculations of Casimir-Polder forces near micro-structured materials. The use of a time-domain formulation enables the investigation of a broad range of materials described by advanced material models, including nonlocal response functions. We validate the method by a number of example calculations for which we thoroughly investigate the convergence properties of the method, and comparing to analytical reference calculations, we find average relative errors as low as a few parts in a million. As an application example, we investigate the anisotropy-induced repulsive behavior of the Casimir-Polder force near a sharp gold wedge described by a hydrodynamic Drude model.