Abstract

We have applied an anomalous diffraction approximation in order to obtain extinction cross sections of a variety of nonspherical particles in a simple analytical form. Specifically, we have derived extinction cross sections of partial spheres, cones, and prismatic columns with triangular, rectangular, trapezium, and hexagonal bases. We have also derived an addition theorem showing how the extinction cross section of an arbitrary column with a polygonal base can be obtained. The extinction cross section of a long cylinder is obtained as the limiting case of a polygonal-based prismatic column with the number of sides approaching infinity.

© 1991 Optical Society of America

Absorption and scattering of electromagnetic radiation by prismatic columns: anomalous diffraction approximation

Petr Chýlek and James D. Klett
J. Opt. Soc. Am. A 8(11) 1713-1720 (1991)

Extinction cross sections of arbitrarily shaped randomly oriented nonspherical particles

Petr Chýlek
J. Opt. Soc. Am. 67(10) 1348-1350 (1977)

Lower and upper bounds on extinction cross sections of arbitrarily shaped strongly absorbing or strongly reflecting nonspherical particles

Petr Chýlek and V. Ramaswamy
Appl. Opt. 21(23) 4339-4344 (1982)

Light scattering by nonspherical particles: a refinement to the coupled-dipole method

Clifton E. Dungey and Craig F. Bohren
J. Opt. Soc. Am. A 8(1) 81-87 (1991)

Forward-scattering corrected extinction by nonspherical particles

Craig F. Bohren and Gary Koh
Appl. Opt. 24(7) 1023-1029 (1985)