Unstable resonators with polygon and von Koch-type boundary conditions : virtual source modelling of fractal eigenmodes

Christian, JM; Begleris, I; Wickham, SJ; McDonald, GS; Huang, JG

Abstract

We will report on our latest research into modelling fractal lasers (linear systems that involve geometrically-unstable resonators with inherent magnification), and propose two new classes of cavity configuration. These devices are of fundamental theoretical interest as table-top generators of tunable fractal light that can be used in a wide range of applications. Moreover, we expect them to play a pivotal role in new Nature-inspired optical architectures and designs. The virtual source theory of classic kaleidoscope lasers will be reviewed, and we show how that semi-analytical method can be applied to novel cavity designs which incorporate a feedback mirror whose outer boundary corresponds to iterations of the von Koch snowflake (an iterated function system involving self-similar sequences of equilateral triangles) and its isosceles counterpart, the von Koch pentaflake . A range of new numerical results will be given, including calculations of mode patterns, eigenvalue spectra, and detailed computations of fractal dimension measures.

Citation

Christian, J., Begleris, I., Wickham, S., McDonald, G., & Huang, J. (2015, July). Unstable resonators with polygon and von Koch-type boundary conditions : virtual source modelling of fractal eigenmodes. Presented at 12th International Conference on the Mathematical and Numerical Aspects of Wave Propagation, Karlsruhe, Germany

• Presentation Conference Type: Other
• Conference Name: 12th International Conference on the Mathematical and Numerical Aspects of Wave Propagation
• Conference Location: Karlsruhe, Germany
• Start Date: Jul 20, 2015
• End Date: Jul 24, 2015
• Acceptance Date: Apr 1, 2015
• Publication Date: Jul 1, 2015
• Deposit Date: Jul 7, 2015
• Publicly Available Date: Apr 5, 2016
• Related Public URLs: http://waves2015.math.kit.edu/
• Additional Information: Event Type : Conference