Beyond Clausius-Mossotti: Wave propagation on a polarizable point lattice and the discrete dipole approximation

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Abstract

We derive the dispersion relation for electromagnetic waves propagating on a lattice of polarizable points. From this dispersion relation we obtain a prescription for choosing dipole polarizabilities so that an infinite lattice with finite lattice spacing will mimic a continuum with dielectric constant ∈(ω). The Discrete Dipole Approximation is used to calculate scattering and absorption by a finite target by replacing the target with an array of point dipoles. We compare different prescriptions for determining the dipole polarizabilities. We show that the most accurate results are obtained when the lattice dispersion relation is used to set the polarizabilities.

Original languageEnglish (US)
Pages (from-to)685-697
Number of pages13
JournalAstrophysical Journal
Volume405
Issue number2
DOIs
StatePublished - Mar 10 1993

All Science Journal Classification (ASJC) codes

  • Astronomy and Astrophysics
  • Space and Planetary Science

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