2born (2born) wrote,

Классическая теория рассеяния и дифракции в электромагнетизме: учебное

Все очень хорошо, много полезного, в т.ч. оптическая теорема. При выводе формул даже показано зачеркиванием. какие члены сокращаются, как на доске:) В конце обсуждается рассеяние нейтронов в ферромагнетике.
Недостаток: система СИ, похоже, от нее уже никуда не скрыться:((

A Tutorial on the Classical Theories of Electromagnetic Scattering and Diffraction: https://arxiv.org/abs/2009.06706
Masud Mansuripur
Starting with Maxwell's equations, we derive the fundamental results of the Huygens-Fresnel-Kirchhoff and Rayleigh-Sommerfeld theories of scalar diffraction and scattering. These results are then extended to cover the case of vector electromagnetic fields. The famous Sommerfeld solution to the problem of diffraction from a perfectly conducting half-plane is elaborated. Far-field scattering of plane waves from obstacles is treated in some detail, and the well-known optical cross-section theorem, which relates the scattering cross-section of an obstacle to its forward scattering amplitude, is derived. Also examined is the case of scattering from mild inhomogeneities within an otherwise homogeneous medium, where, in the first Born approximation, a fairly simple formula is found to relate the far-field scattering amplitude to the host medium's optical properties. The related problem of neutron scattering from ferromagnetic materials is treated in the final section of the paper.
Comments: 44 pages, 9 figures, 122 equations, 32 references, 13 appendices
Tags: КлЭД, Мегаучебник или Что я читал и похвалил, книгоиздательское, люди, маразм, наука, образование, разгребая arXiv'ы

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