Theoretical and computational aspects of the SVM, EBCM,
and PMM methods in light scattering by small particles
V. B. Il'in*,1,2,3, V. G. Farafonov2 and A. A. Vinokurov2,3
- 1 St. Petersburg University, Universitetskij pr. 28, St. Petersburg, 198504 Russia.
- 2 State University of Aerospace Instrument., Bol. Morskaya 67, St. Petersburg, 190000 Russia.
- 3 Pulkovo Observatory, Pulkovskoe chaussee 65/1, St. Petersburg, 196140 Russia.
We consider the generalized separation of variables, extended boundary condition, and generalized point-matching methods that apply single expansions of the electromagnetic fields in terms of wave functions to solve the light-scattering problem. We consider especially theoretical studies related to analysis of infinite linear systems, questions of field-expansion convergence, and the Rayleigh hypothesis. The passage from the infinite systems to truncated ones used in calculations will be discussed, and numerical solutions provided by the methods will be compared.
- * Corresponding author