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 |