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Exact solution of the half-space problem in small-angle multiple scattering

Точное рещение проблемы мало-углового многократного рассеяния в полубесконечном случае

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Il Nuovo Cimento B (1965-1970)

Summary

The back-scattering from a material half-space is studied in the Gaussian small-angle approximation. The exact distribution of angles and displacements of the emerging particles is obtained by relating the problem to a mathematically equivalent Brownian-motion problem, solved recently by McKean.

Riassunto

Si studia lo scattering all’indietro da un semispazio materiale nell’approssimazione gaussiana a piccoli angoli. Si ottiene la distribuzione esatta degli angoli e degli spostamenti delle particelle emergenti collegando il problema ad un problema del moto browniano matematicamente equivalente, recentemente risolto da McKean.

Реэюме

Исследуется обратное рассеяние от полубесконечного вешества в мало-угловом гауссовом приближении. Получается точное распределение выходяших частиц по углам и смешениям, посредством свяэывания зтой проблемы с математически зквивалентной проблемой броуновского движения, недавно раэрещенной МкКином.

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References

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Authors and Affiliations

  1. Institutt for Teoretisk Fysikk, NTH, Trondheim

    W. K. Theumann & P. C. Hemmer

Authors
  1. W. K. Theumann
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  2. P. C. Hemmer
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Additional information

Norges Teknisk-Naturvitenskapelige Forskningsråd, Postdoctoral Fellow.

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Theumann, W.K., Hemmer, P.C. Exact solution of the half-space problem in small-angle multiple scattering. Nuovo Cimento B (1965-1970) 64, 255–262 (1969). https://doi.org/10.1007/BF02711009

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  • DOI: https://doi.org/10.1007/BF02711009

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