Lattice Boltzmann method for electromagnetic wave propagation

Shravan Hanasoge, S. Succi, S. A. Orszag

Research output: Contribution to journalArticle

Abstract

We present a new Lattice Boltzmann (LB) formulation to solve the Maxwell equations for electromagnetic (EM) waves propagating in a heterogeneous medium. By using a pseudo-vector discrete Boltzmann distribution, the scheme is shown to reproduce the continuum Maxwell equations. The technique compares well with a pseudo-spectral method at solving for two-dimensional wave propagation in a heterogeneous medium, which by design contains substantial contrasts in the refractive index. The extension to three dimensions follows naturally and, owing to the recognized efficiency of LB schemes for parallel computation in irregular geometries, it gives a powerful method to numerically simulate a wide range of problems involving EM wave propagation in complex media.

Original languageEnglish (US)
Article number14002
JournalEPL
Volume96
Issue number1
DOIs
StatePublished - Oct 1 2011

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wave propagation
electromagnetic radiation
Maxwell equation
Boltzmann distribution
spectral methods
refractivity
continuums
formulations
geometry

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Lattice Boltzmann method for electromagnetic wave propagation. / Hanasoge, Shravan; Succi, S.; Orszag, S. A.

In: EPL, Vol. 96, No. 1, 14002, 01.10.2011.

Research output: Contribution to journalArticle

Hanasoge, Shravan ; Succi, S. ; Orszag, S. A. / Lattice Boltzmann method for electromagnetic wave propagation. In: EPL. 2011 ; Vol. 96, No. 1.
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