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Discrete-dipole approximation for periodic targets: theory and tests

2008/09/02 by B. T. Draine, Piotr J. Flatau, P. J. Flatau
Engineering · Mathematics · Physics and Astronomy · #Amplitude #Computational physics #Dipole #Discrete dipole approximation #Electromagnetic Compatibility and Measurements #Electromagnetic Scattering and Analysis #Materials science #Mathematical analysis #Mathematics #Matrix (chemical analysis) #Optics #Physics #Quantum mechanics #Radiation #Scattering #Scattering amplitude #Terahertz technology and applications #Wavelength #astro-ph

paper · pdf · doi:10.1364/josaa.25.002693

19 pages, 7 figures, submitted to J. Opt. Soc. Am. A

arxiv created 2008/09/02 · openalex publication_date 2008/10/14 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06

Abstract

The discrete-dipole approximation (DDA) is a powerful method for calculating absorption and scattering by targets that have sizes smaller than or comparable to the wavelength of the incident radiation. The DDA can be extended to targets that are singly or doubly periodic. We generalize the scattering amplitude matrix and the 4 x 4 Mueller matrix to describe scattering by singly and doubly periodic targets and show how these matrices can be calculated using the DDA. The accuracy of DDA calculations using the open-source code DDSCAT is demonstrated by comparison with exact results for infinite cylinders and infinite slabs. A method for using the DDA solution to obtain fields within and near the target is presented, with results shown for infinite slabs.

Citations