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Applied Optics

Applied Optics


  • Vol. 19, Iss. 16 — Aug. 15, 1980
  • pp: 2781–2800

Phase matrix and cross sections for single scattering by circular cylinders: a comparison of ray optics and wave theory

Yoshihide Takano and Masayuki Tanaka  »View Author Affiliations

Applied Optics, Vol. 19, Issue 16, pp. 2781-2800 (1980)

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The phase matrix and several quantities for single scattering by an arbitrarily oriented circular cylinder are formulated by using the approximation of ray optics, which includes geometrical reflection and refraction plus Fraunhofer diffraction; then the effects of polarization are considered. Computations were made using electromagnetic wave theory and ray optics approximations for m = 1.31–0.0i and 1.31–0.1i. Results by these methods approach one another as the ratio of the cylinder's circumference to the incident wavelength increases. One of two ray optics approximations proposed requires less computation time than wave theory. The applicability of the ray optics approximation is dependent on the orientation of the cylinder relative to the incident light as well as the size parameter and, moreover, dependent on what quantity for single scattering is compared.

© 1980 Optical Society of America

Original Manuscript: February 23, 1980
Published: August 15, 1980

Yoshihide Takano and Masayuki Tanaka, "Phase matrix and cross sections for single scattering by circular cylinders: a comparison of ray optics and wave theory," Appl. Opt. 19, 2781-2800 (1980)

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