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      The discrete dipole approximation: an overview and recent developments

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          Abstract

          We present a review of the discrete dipole approximation (DDA), which is a general method to simulate light scattering by arbitrarily shaped particles. We put the method in historical context and discuss recent developments, taking the viewpoint of a general framework based on the integral equations for the electric field. We review both the theory of the DDA and its numerical aspects, the latter being of critical importance for any practical application of the method. Finally, the position of the DDA among other methods of light scattering simulation is shown and possible future developments are discussed.

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          Numerical methods in electromagnetic scattering theory

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            STRONG AND WEAK FORMS OF THE METHOD OF MOMENTS AND THE COUPLED DIPOLE METHOD FOR SCATTERING OF TIME-HARMONIC ELECTROMAGNETIC FIELDS

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              Scattering by irregular inhomogeneous particles via the digitized Green's function algorithm.

              The digitized Green's function (DGF) algorithm and the underlying theory are described. This finite element algorithm models dielectric particles of arbitrary shape and arbitrary optical structure. DGF predictions of differential and total cross sections are compared with predictions of Mie and EBCM algorithms for several homogeneous spheres and spheroids. Results of tests of convergence of the DGF calculation as the number of elements are increased are presented. Computer time and storage requirements as functions of wavelength and particle size, shape, and optical structure are discussed.
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                Author and article information

                Journal
                31 March 2007
                Article
                10.1016/j.jqsrt.2007.01.034
                0704.0038
                53d3a7ed-1a25-4648-8a58-128f6806ae23
                History
                Custom metadata
                J.Quant.Spectrosc.Radiat.Transf. 106, 558-589 (2007)
                36 pages, 1 figure
                physics.optics physics.comp-ph

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