On uniformity of the field inside small scatterers

V. G. Farafonov; V. B. Il’in; M. V. Sokolovskaya; E. G. Semenova

doi:10.1117/12.2053533

28 November 2013 On uniformity of the field inside small scatterers

V. G. Farafonov, V. B. Il’in, M. V. Sokolovskaya, E. G. Semenova

Proceedings Volume 9065, Fundamentals of Laser-Assisted Micro- and Nanotechnologies 2013; 906507 (2013) https://doi.org/10.1117/12.2053533
Event: Fundamentals of Laser Assisted Micro- and Nanotechnologies 2013, 2013, St. Petersburg, Russian Federation

Abstract

The electrostatic problem for a homogeneous axisymmetric particle is considered. The approach applied is similar to the extended boundary condition method often used in the light scattering theory. The surface integrals forming the elements of an analog of the well known T–matrix are studied in detail. The inverse problem is solved under the condition that the internal field is uniform. It is proved that this condition is satisfied for axisymmetric particles only if they are spheroids. Approximate solutions to the electrostatic problem that are based on the assumption of the uniform internal field are discussed as well.

Citation Download Citation

V. G. Farafonov, V. B. Il’in, M. V. Sokolovskaya, and E. G. Semenova "On uniformity of the field inside small scatterers", Proc. SPIE 9065, Fundamentals of Laser-Assisted Micro- and Nanotechnologies 2013, 906507 (28 November 2013); https://doi.org/10.1117/12.2053533

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