Efficient Evaluation of Casimir Force in Arbitrary Three-dimensional Geometries by Integral Equation Methods

Abstract

In this paper, we generalized the surface integral equation method for the evaluation of Casimir force in arbitrary three-dimensional geometries. Similar to the two-dimensional case, the evaluation of the mean Maxwell stress tensor is cast into solving a series of three-dimensional scattering problems. The formulation and solution of the three-dimensional scattering problem is well-studied in classical computational electromagnetics. This paper demonstrates that this quantum electrodynamic phenomena can be studied using the knowledge and techniques of classical electrodynamics.

9 pages, 2 figures

References in corpus (4)

• Casimir forces between arbitrary compact objects
• Fluctuation induced quantum interactions between compact objects and a plane mirror
• Virtual photons in imaginary time: Computing exact Casimir forces via standard numerical-electromagnetism techniques
• Multiple Scattering Methods in Casimir Calculations

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• Fluctuating Surface Currents: A New Algorithm for Efficient Prediction of Casimir Interactions among Arbitrary Materials in Arbitrary Geometries. I. Theory
• Computation of Casimir Interactions between Arbitrary 3D Objects with Arbitrary Material Properties
• Fluctuation-Induced Phenomena in Nanoscale Systems: Harnessing the Power of Noise