Scholarlink

Abstract <p>For a billiard in an elliptic domain, we consider several confocal quadrics, which divide this domain into several regions each filled with homogeneous media with various densities. When crossing the quadric separating two media, it is assumed that the trajectory deviates from a straight line according to the modified (cosine) law of refraction. For the system obtained in this way, the constant of motion is obtained.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

An Elliptic Billiard with the Cosine Law of Refraction at Confocal Quadrics

  • 期刊论文

  • 发表日期：

    2025年4月1日

查看全文
  • M. A. Nikulin

摘要

Abstract

For a billiard in an elliptic domain, we consider several confocal quadrics, which divide this domain into several regions each filled with homogeneous media with various densities. When crossing the quadric separating two media, it is assumed that the trajectory deviates from a straight line according to the modified (cosine) law of refraction. For the system obtained in this way, the constant of motion is obtained.