Abstract.
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.
Similar content being viewed by others
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Hitzer, E. CLOSED LIGHT PATHS IN EQUIANGULAR SPIRAL DISKS. AACA 10, 225–257 (2000). https://doi.org/10.1007/s00006-000-0005-z
Received:
Accepted:
Issue Date:
DOI: https://doi.org/10.1007/s00006-000-0005-z