Propagation of Electromagnetic Waves on a Rectangular Lattice of Polarizable Points

Details Propagation of Electromagnetic Waves on a Rectangular Lattice of Polarizable Points Propagation of Electromagnetic Waves on a Rectangular Lattice of Polarizable Points

2004-03-03

arxiv.org/abs/astro-ph/0403082v1

Astronomy and Astrophysics

Astrophysics

17 pages, 5 figures, Latex

Scientific paper

We discuss the propagation of electromagnetic waves on a rectangular lattice of polarizable point dipoles. For wavelengths long compared to the lattice spacing, we obtain the dispersion relation in terms of the lattice spacing and the dipole polarizabilities. We also obtain the polarizabilities required for the lattice to have the same dispersion relation as a continuum medium of given refractive index m.; our result differs slightly from previous work by Draine & Goodman (1993). Our new prescription can be used to assign dipole polarizabilities when the discrete dipole approximation is used to study scattering by finite targets. Results are shown for selected cases.

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