ヒッツェル,エクハルト   HITZER, Eckhard
  ヒッツェル, エクハルト
   所属   国際基督教大学教養学部 アーツ・サイエンス学科
   職種   上級准教授
言語種別 英語
発行・発表の年月 1999
形態種別 研究論文(学術雑誌)
査読 査読あり
標題 The Geometry of Light Paths for Equiangular Spirals
執筆形態 単著
掲載誌名 Advances in Applied Clifford Algebras
巻・号・頁 9(2),pp.261-286
著者・共著者 HITZER Eckhard
概要 First geometric calculus alongside its description of equiangular spirals, reflections and rotations is introduced briefly. Then single and double reflections at such a spiral are investigated. It proves suitable to distinguish incidence from theright andleft relative to the radial direction. The properties of geometric light propagation inside the equiangular spiral are discussed, as well as escape conditions and characteristics. Finally the dependence of right and left incidence from the source locations are examined, revealing a well defined innercritical curve, which delimits the area of purely right incident propagation. This critical curve is self similar to the original equiangular spiral.
DOI 10.1007/BF03042381