Variable Phase S-Matrix Calculations for Asymmetric Potentials and Dielectrics
arXiv:1210.0777 · doi:10.1103/PhysRevA.86.062715
Abstract
Motivated by recently developed techniques making it possible to compute Casimir energies for any object whose scattering S-matrix (or, equivalently, T-matrix) is available, we develop a variable phase method to compute the S-matrix for localized but asymmetric sources. Starting from the case of scalar potential scattering, we develop a combined inward/outward integration algorithm that is numerically efficient and extends robustly to imaginary wave number. We then extend these results to electromagnetic scattering from a position-dependent dielectric. This case requires additional modifications to disentangle the transverse and longitudinal modes.
12 pages, 5 .eps figures, RevTeX; v2: added sample numerical calculations, minor corrections
References in corpus (7)
- Casimir forces between arbitrary compact objects
- Scattering Theory Approach to Electrodynamic Casimir Forces
- Opposites Attract - A Theorem About The Casimir Force
- Calculating Vacuum Energies in Renormalizable Quantum Field Theories: A New Approach to the Casimir Problem
- Casimir Forces between Compact Objects: I. The Scalar Case
- Efficient Computation of Casimir Interactions between Arbitrary 3D Objects
- Casimir force between partially transmitting mirrors
Cited by in corpus (10)
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- Exact Electromagnetic Casimir Energy of a Disk Opposite a Plane
- Scattering theory without large-distance asymptotics: scattering boundary condition
- Schwarzschild Quantum Fluctuations from Regge-Wheeler Scattering
- Casimir-Lifshitz pressure on cavity walls
- Renormalization for singular-potential scattering