21 citations · 103 across the 13 of their papers we have counts for
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Images of point charges in conducting ellipses and prolate spheroids
Matt Majic
This is an investigation into the exact forms of images of point charges in 2D conducting ellipses and 3D prolate spheroids. For an ellipse with exterior point source, we compare t…
The image of a point charge in an infinite conducting cylinder
Matt Majic
The electrostatics problem of a point charge next to a conducting plane is best solved by placing an image charge placed on the opposite side. For a charge between two parallel pla…
Quasistatic limit of the electric-magnetic coupling blocks of the -matrix for spheroids
Matt Majic, Eric C. Le Ru
The -matrix formally describes the solution of any electromagnetic scattering problem by a given particle in a given medium at a given wavelength. As such it is commonly used in…
Exact gravitational potential of a homogeneous torus in toroidal coordinates and a surface integral approach to Poisson's equation
Matt Majic
New exact solutions are derived for the gravitational potential inside and outside a homogeneous torus as rapidly converging series of toroidal harmonics. The approach consists of…
Electrostatic limit of the -matrix for electromagnetic scattering: Exact results for spheroidal particles
Matt R. A. Majic, Finnian Gray, Baptiste Auguie +1
The -matrix, often obtained with Waterman's extended boundary condition method (EBCM), is a widely-used tool for fast calculations of electromagnetic scattering by particles. He…
Spheroidal harmonic expansions for the solution of Laplace's equation for a point source near a sphere
Matt Majic, Baptiste Auguie, Eric C. Le Ru
We propose a powerful approach to solve Laplace's equation for point sources near a spherical object. The central new idea is to use prolate spheroidal solid harmonics, which are s…