HITZER, Eckhard

   Senior Associate Professor

   Division of Arts and Sciences, College of Liberal Arts, International Christian University
Language English
Publication Date 1999
Type Research Paper (Scientific Journal)
Peer Review With peer review
Title The Geometry of Light Paths for Equiangular Spirals
Contribution Type Single Work
Journal Advances in Applied Clifford Algebras
Volume, Issue, Pages 9(2),pp.261-286
Author and coauthor HITZER Eckhard
Details 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