Analytical long-wavelength approximation for parallelepipeds

Abstract We suggest a new analytical long-wavelength approximation for rectangular parallelepipeds based on replacement of the internal field with a uniform one. The approximation is not quite accurate (the typical accuracy is of the order of about 10%) but is extremely simple and works in a sufficiently wide region of parameter values.

[1]  Ari Sihvola,et al.  Dielectric polarization and particle shape effects , 2007 .

[2]  Larry D. Travis,et al.  Light Scattering by Nonspherical Particles , 1998 .

[3]  P. Morse,et al.  Methods of theoretical physics , 1955 .

[4]  A. Ramm.  Wave Scattering By Small Bodies Of Arbitrary Shapes , 2005 .

[5]  E. M. Lifshitz,et al.  Electrodynamics of continuous media , 1961 .

[6]  Z. Kam,et al.  Absorption and Scattering of Light by Small Particles , 1998 .

[7]  V. G. Farafonov,et al.  On the applicability of a spherical basis for spheroidal layered scatterers , 2013 .

[8]  M. S. Prokopjeva,et al.  Light scattering by multi-layered ellipsoidal particles in the quasistatic approximation , 2002 .

[9]  Rayleigh Lord,et al.  V. On the incidence of aerial and electric waves upon small obstacles in the form of ellipsoids or elliptic cylinders, and on the passage of electric waves through a circular aperture in a conducting screen , 1897 .

[10]  Thomas Wriedt,et al.  Comprehensive T -matrix reference database: A 2007–2009 update , 2009 .

[11]  Alexander Moroz,et al.  Depolarization field of spheroidal particles , 2009 .

[12]  N. Khlebtsov.  T-matrix method in plasmonics: An overview , 2013 .

[13]  J. Hovenier,et al.  UvA-DARE ( Digital Academic Repository ) Shape effects in scattering and absorption by randomly oriented particles small compared to the wavelength , 2003 .

[14]  P. Waterman,et al.  Matrix methods in potential theory and electromagnetic scattering , 1979 .

[15]  A. R. Jones.  Electromagnetic wave scattering by assemblies of particles in the Rayleigh approximation , 1979, Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences.

[16]  Thomas B. A. Senior,et al.  Rayleigh scattering , 1973 .

[17]  Victor G. Farafonov,et al.  Single light scattering: computational methods , 2006 .

[18]  D. Mackowski.  Electrostatics analysis of radiative absorption by sphere clusters in the Rayleigh limit: application to soot particles. , 1995, Applied optics.

[19]  Alfons G. Hoekstra,et al.  The discrete dipole approximation for simulation of light scattering by particles much larger than the wavelength , 2007 .

[20]  V. Farafonov,et al.  Construction of the Rayleigh Approximation for Axisymmetric Multilayered Particles, Making Use of Eigenfunctions of the Laplace Operator , 2013 .

[21]  F.Michael Kahnert,et al.  Numerical methods in electromagnetic scattering theory , 2003 .

[22]  V. Farafonov,et al.  Rayleigh approximation for axisymmetric scatterers. , 2011, Optics letters.