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 2000
形態種別 研究論文(学術雑誌)
査読 査読あり
標題 Closed Light Paths in Equiangular Spiral Disks
執筆形態 単著
掲載誌名 Advances in Applied Clifford Algebras
掲載区分国外
出版社・発行元 Birkhaeuser, Basel, Switzerland.
巻・号・頁 10(2),pp.225-257
著者・共著者 HITZER Eckhard
概要 A new type of deformation for microscopic laser disks, the equiangular spiral deformation is proposed. First a short review of the geometry of light paths in equiangular spirals in the language of real two-dimensional geometric calculus is given. Second, the constituting equations for closed paths inside equiangular spirals are derived. Third, their numerical solution is performed and found to yield two generic types of closed light paths. Degenerate closed paths that exist over large intervals of the deformation parameter, and nondegenerate closed paths which only exist over relatively small deformation parameter intervals spanning less than 1% of the nondegenerate intervals. Fourth, amongst the nondegenerate paths a stable asymmetric bow-tie shaped light trajectory was found.
DOI 10.1007/s00006-000-0005-z