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Journal of the Optical Society of America A

Journal of the Optical Society of America A


  • Editor: Franco Gori
  • Vol. 31, Iss. 2 — Feb. 1, 2014
  • pp: 322–331

Scattering of electromagnetic radiation by three-dimensional periodic arrays of identical particles

Yu-Lin Xu  »View Author Affiliations

JOSA A, Vol. 31, Issue 2, pp. 322-331 (2014)

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The generalized multiparticle Mie-solution (GMM), a Lorenz–Mie-type rigorous theory for the scattering of a monochromatic plane wave by an arbitrary configuration of nonintersecting scattering bodies, has lately been revisited and further developed. A recent progress is the initiation of a special version applied to one- and two-dimensional (1D and 2D) periodic arrays (PAs) of identical particles [J. Opt. Soc. Am. A 30, 1053 (2013)]. As a continuous advance, the present work extends the initiative PA-type solution from 1D and 2D to the more involved three-dimensional (3D) regular arrays. Analytical formulations applicable to the 3D PAs are derived, including the special PA-type explicit expressions for cross sections of extinction, scattering, backscattering, and radiation pressure. The specific PA-version is a complement to the general formulation and solution process of the standard GMM. In either 1D and 2D or 3D cases, the newly devised PA-approach is capable of providing expeditiously theoretical predictions of radiative scattering characteristics for periodic structures consisting of a huge number of identical unit cells, which the general approach of the GMM is unable to handle in practical calculations, owing to excessive computing time and/or computer memory requirements. To illustrate practical applications, sample numerical solutions obtained via the PA-approach are shown for 3D PAs of finite lengths that have 5×107 component particles, including structures having a rectangular opening. Also discussed is potential future work on the theory and its tests.

© 2014 Optical Society of America

OCIS Codes
(260.1180) Physical optics : Crystal optics
(260.1960) Physical optics : Diffraction theory
(260.5430) Physical optics : Polarization
(290.4210) Scattering : Multiple scattering
(290.5825) Scattering : Scattering theory

ToC Category:

Original Manuscript: November 14, 2013
Manuscript Accepted: December 12, 2013
Published: January 21, 2014

Yu-Lin Xu, "Scattering of electromagnetic radiation by three-dimensional periodic arrays of identical particles," J. Opt. Soc. Am. A 31, 322-331 (2014)

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