A scalar potential formulation and translation theory for the time-harmonic Maxwell equations

DOI10.1016/j.jcp.2006.11.025zbMath1126.78021OpenAlexW1972916310MaRDI QIDQ996497

Ramani Duraiswami, Nail A. Gumerov

Publication date: 14 September 2007

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2006.11.025

zbMATH Keywords

Maxwell equationsHelmholtz equationelectromagnetic scatteringfast multipole methodMie scatteringDebye potentialstranslation operatorsT-matrix method

Mathematics Subject Classification ID

Related Items

Properties of the Poynting vector for invariant beams: negative propagation in Weber beams, Fast inverse elastic scattering of multiple particles in three dimensions*

Cites Work

• Unnamed Item
• Unnamed Item
• Diagonal forms of translation operators for the Helmholtz equation in three dimensions
• Calculation of the addition coefficients in electromagnetic multisphere-scattering theory
• Fast multipole method for the biharmonic equation in three dimensions
• Multiple Scattering of Waves
• Scattering of acoustic waves by layered elastic and viscoelastic obstacles in water
• Analysis of radiative scattering for multiple sphere configurations
• Recursions for the Computation of Multipole Translation and Rotation Coefficients for the 3-D Helmholtz Equation
• The Fast Multipole Method I: Error Analysis and Asymptotic Complexity
• Multipole Translation Theory for the Three-Dimensional Laplace and Helmholtz Equations
• Addition theorems for spherical wave functions
• Translational addition theorems for spherical vector wave functions