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Journal of Applied Physics / Volume 59 / Issue 8

J. Appl. Phys. 59, 2609 (1986); http://dx.doi.org/10.1063/1.336988 (10 pages)

Electromagnetic scattering by periodic arrays of particles

P. C. Waterman and N. E. Pedersen

Panametrics, Inc., 221 Crescent Street, Waltham, Massachusetts 02254

(Received 12 August 1985; accepted 3 January 1986)

Employing self‐consistency, the multiple‐scattering problem is formulated for periodic arrays of particles having constitutive parameters distinct from those of the embedding material. A T‐matrix description of individual particle scattering is employed, so that particles need not be spherical. Explicit analytical and numerical results are obtained for the effective complex dielectric constant ϵ and permeability μ in the quasistatic and infinitesimal lattice limits for several lattice geometries, and shown to agree with existing static computations under appropriate conditions. Random arrays are also considered briefly, and the role of single‐particle resonance effects is examined. Finally, longitudinal electric and magnetic waves are predicted to exist at certain discrete frequencies where ϵ or μ vanish.

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KEYWORDS and PACS

Keywords

MULTIPLE SCATTERING, SCATTERING THEORY, RAYLEIGH SCATTERING, MULTIPOLES, ELECTROMAGNETIC RADIATION, RESONANCE SCATTERING, PARTICLES, ANALYTICAL SOLUTION, NUMERICAL SOLUTION, DIELECTRIC FUNCTION, PERMEABILITY

PACS

  • 41.60.-m

    Radiation by moving charges

  • 11.80.-m

    Relativistic scattering theory

  • 77.90.+k

    Other topics in dielectrics, piezoelectrics, and ferroelectrics and their properties (restricted to new topics in section 77)

  • 75.90.+w

    Other topics in magnetic properties and materials (restricted to new topics in section 75)

ARTICLE DATA

Digital Object Identifier
http://dx.doi.org/10.1063/1.336988

PUBLICATION DATA

ISSN

0021-8979 (print)  
1089-7550 (online)

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