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23 December 1994 Comparative analysis of different solutions of light scattering problem for nonspherical particles
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Abstract
The model of homogeneous spheroids were chosen to provide the detailed comparison of two popular solutions of the light scattering problem: T-Matrix Method and Discrete Dipole Approximation. The exact solution by the Separation of Variables Method were used as a standard giving the most accurate results. We have computed the scattering cross-sections of prolate and oblate spheroids with the refractive index m equals 1.3 and 2.5 at fixed orientation in a wide range of the aspect ratios and sizes. We found that: (1) the coincidence of the T- Matrix Method and the Separation of Variables Method is very good (> 6 - 10 digits) up to some boundary particle size; for larger particles the precision of T-Matrix results sharply drops; (2) the Discrete Dipole Approximation code gives the satisfactory results (the deviations from other methods less 5 - 10%) for large values of size and aspect ratio even if the number of dipoles is 1,000 - 1,500; the accuracy less than 1% may be obtained if the number of dipoles exceed 10,000 - 50,000; (3) the accuracy of the methods decrease with the growth of the parameter (tau) equals m (DOT) (2(pi) rv/(lambda) ) (DOT) (a/b), where rv is the radius of equivolume sphere, (lambda) the wavelength of incident radiation, a/b the aspect ratio. If a/b <EQ 4, the coincidence of the results with those of the Separation of Variables Method is within 1 - 3% for r approximately equals 8 - 16 (Discrete Dipole Approximation) and r approximately equals 50 - 65 (T-Matrix Method). For the particles with a/b >= 10, the Separation of Variables Method is preferable, if 2(pi) rv/(lambda) >= 2 - 3.
© (1994) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Nikolai V. Voshchinnikov, Vladimir B. Il'in, and Ralf Stognienko "Comparative analysis of different solutions of light scattering problem for nonspherical particles", Proc. SPIE 2309, Passive Infrared Remote Sensing of Clouds and the Atmosphere II, (23 December 1994); https://doi.org/10.1117/12.196665
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