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Scattering by a boundary with complex structure

D. M. Naplekov1, A. V. Tur2, and V. V. Yanovsky2

  • 1Université de Toulouse [UPS], CNRS, Institut de Recherche en Astrophysique et Planétologie, 9 avenue du Colonel Roche, BP 44346, 31028 Toulouse Cedex 4, France
  • 2Institute for Single Cristals, National Academy of Science Ukraine, Lenine Avenue 60, Kharkov 31001, Ukraine

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Phys. Rev. E 87, 042901 – Published 2 April, 2013

DOI: https://doi.org/10.1103/PhysRevE.87.042901

Abstract

The distribution of escape times is usually studied in open billiards theory. In this work, we will concentrate on another important question: The distribution of outgoing rays by exit directions, which we refer to as billiard's indicatrix. It can be obtained analytically and consists of two parts: the symmetric diffuse part and the asymmetric directed part. The criterion for the separation of the indicatrix into these two parts is established. The asymmetry of the directed part of the indicatrix and the influence of the billiard's borders on it is investigated. We also propose a method of the creation of a matte surface model using open billiards with a fully diffuse indicatrix.

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Phys. Rev. E 87, 042901– Published 2 April, 2013
  • Received 6 February 2013

©2013 American Physical Society

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