21 citations · 103 across the 13 of their papers we have counts for
14 papers
Mean path length inside non-scattering refractive objects
Matt Majic, Walter R. C. Somerville, Eric C. Le Ru
It has recently been argued that the geometric-optics mean path length of rays inside a refractive object under Lambertian illumination is independent of the scattering strength of…
Definition and properties of logopoles of all degrees and orders
Matt Majic, Eric C. Le Ru
Logopoles are a recently proposed class of solutions to Laplace's equation with intriguing links to both solid spheroidal and solid spherical harmonics. They share the same finite…
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…
A new class of solutions to Laplace equation: Regularized multipoles of negative orders
Matt Majic, Eric C. Le Ru
We introduce a new class of solutions to Laplace equation, dubbed logopoles, and use them to derive a new relation between solutions in prolate spheroidal and spherical coordinates…
Electrostatic T-matrix for a torus on bases of toroidal and spherical harmonics
Matt Majic
Semi-analytic expressions for the static limit of the T-matrix for electromagnetic scattering are derived for a circular torus, expressed in bases of both toroidal and spherical ha…
Image theory for a sphere with negative permittivity
Matt Majic
An image system for a point charge outside a dielectric sphere is presented for all complex values of relative permittivity . The standard image integral solution of a p…
Approximate T-matrix and optical properties of spheroidal particles to third order in size parameter
Matt R. A. Majic, Luke Pratley, Dmitri Schebarchov +3
We here calculate the series expansion of the T-matrix for a spheroidal particle in the small-size/long-wavelength limit, up to third lowest order with respect to the size paramete…
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…
Relationships between solid spherical and toroidal harmonics
Matt Majic, Eric C. Le Ru
We derive new relationships expressing solid spherical harmonics as series of toroidal harmonics and vice versa. The expansions include regular and irregular spherical harmonics, r…
Laplace's equation for a point source near a sphere: improved internal solution using spheroidal harmonics
Matt R. A. Majić, Baptiste Auguié, Eric C. Le Ru
As shown recently [Phys. Rev. E 95, 033307 (2017)], spheroidal harmonics expansions are well suited for the external solution of Laplace's equation for a point source outside a sph…
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…