Fluctuating volume-current formulation of electromagnetic fluctuations in inhomogeneous media: Incandescence and luminescence in arbitrary geometries

AG Polimeridis, MTH Reid, W **, SG Johnson… - Physical Review B, 2015 - APS
We describe a fluctuating volume-current formulation of electromagnetic fluctuations that
extends our recent work on heat exchange and Casimir interactions between arbitrarily …

Surface and volume integral equation methods for time-harmonic solutions of Maxwell's equations

P Yla-Oijala, J Markkanen, S Jarvenpaa… - Progress in …, 2014 - jpier.org
During the last two-three decades the importance of computer simulations based on
numerical full-wave solutions of Maxwell's has continuously increased in electrical …

Broadband multilevel fast multipole algorithm based on an approximate diagonalization of the Green's function

O Ergul, B Karaosmanoğlu - IEEE Transactions on Antennas …, 2015 - ieeexplore.ieee.org
We present a broadband multilevel fast multipole algorithm (MLFMA) for fast and efficient
solutions of three-dimensional multiscale problems involving large objects with dense …

Discrete dipole approximation

MA Yurkin - Light, Plasmonics and Particles, 2023 - Elsevier
This chapter is dedicated to the general volume-discretization method, known as the
discrete dipole approximation (DDA). The main DDA equations are presented for local non …

On the computation of power in volume integral equation formulations

AG Polimeridis, MTH Reid, SG Johnson… - … on Antennas and …, 2014 - ieeexplore.ieee.org
We present simple and stable formulas for computing power (including absorbed/radiated,
scattered and extinction power) in current-based volume integral equation formulations. The …

Skeletonization accelerated MLFMA solution of volume integral equation for plasmonic structures

YN Liu, XM Pan, XQ Sheng - IEEE Transactions on Antennas …, 2018 - ieeexplore.ieee.org
Skeletonization is employed to accelerate the multilevel fast multipole algorithm (MLFMA)
solution of the method of moments matrix system arising from volume integral equations …

[HTML][HTML] Volume integral equations for electromagnetic scattering in two dimensions

M Costabel, E Darrigrand, H Sakly - Computers & Mathematics with …, 2015 - Elsevier
We study the strongly singular volume integral equation that describes the scattering of time-
harmonic electromagnetic waves by a penetrable obstacle. We consider the case of a …

A fast and massively-parallel inverse solver for multiple-scattering tomographic image reconstruction

M Hidayetoglu, C Pearson, I El Hajj… - 2018 IEEE …, 2018 - ieeexplore.ieee.org
We present a massively-parallel solver for large Helmholtz-type inverse scattering problems.
The solver employs the distorted Born iterative method for capturing the multiples-cattering …

Coupled solution of volume integral and hydrodynamic equations to analyze electromagnetic scattering from composite nanostructures

DA Uulu, R Chen, L Chen, P Li… - IEEE Transactions on …, 2023 - ieeexplore.ieee.org
A coupled system of volume integral and hydrodynamic equations is solved to analyze
electromagnetic scattering from nanostructures consisting of metallic and dielectric parts. In …

Current-based volume integral equation formulation for bianisotropic materials

P Ylä-Oijala, J Markkanen… - IEEE Transactions on …, 2016 - ieeexplore.ieee.org
The electric and magnetic current volume integral equation formulation is developed for the
electromagnetic scattering analysis of arbitrarily shaped 3-D bianisotropic objects. The …