The Geometry of Light Paths for Equiangular Spirals
Advances in Applied Clifford Algebras 9(2), 261 (1999).
Abstract: 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 the right and left relative to the radial direction. The properties of geometric light propagationinside 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 inner critical curve, which delimits the area of purely right incident propagation. This critical curve is self similar to the original equiangular spiral.
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