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arXiv · 1210.0777

Variable Phase S-Matrix Calculations for Asymmetric Potentials and Dielectrics

Aden Forrow·Noah Graham
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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.

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Aden Forrow, Noah Graham. 2012-10-02. Variable Phase S-Matrix Calculations for Asymmetric Potentials and Dielectrics. https://doi.org/10.1103/physreva.86.062715

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