Spectral decomposition of the Lippmann-Schwinger equation applied to cylinders
Parry Y. Chen, David J. Bergman, and Yonatan Sivan
TL;DR
This paper develops a spectral decomposition approach for the Lippmann-Schwinger equation in electrodynamics, enabling the representation of fields as eigenmode sums specifically for cylindrical structures.
Contribution
It introduces a novel spectral decomposition method tailored for cylindrical geometries in electrodynamics, expanding analytical tools for wave scattering problems.
Findings
Eigenmode expansion of the Lippmann-Schwinger equation for cylinders
Enhanced understanding of electromagnetic scattering in cylindrical structures
Potential for improved computational modeling of cylindrical systems
Abstract
We derive the spectral decomposition of the Lippmann-Schwinger equation for electrodynamics, obtaining the fields as a sum of eigenmodes. The method is applied to cylindrical geometries.
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Taxonomy
TopicsElectromagnetic Scattering and Analysis · Orbital Angular Momentum in Optics · Experimental and Theoretical Physics Studies