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

Christian, JM ORCID: https://orcid.org/0000-0003-2742-0569, Begleris, I, Wickham, SJ, McDonald, GS ORCID: https://orcid.org/0000-0002-1304-5182 and Huang, JG 2015, Unstable resonators with polygon and von Koch-type boundary conditions : virtual source modelling of fractal eigenmodes , in: 12th International Conference on the Mathematical and Numerical Aspects of Wave Propagation, 20- 24 July 2015, Karlsruhe, Germany.

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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.

Item Type:	Conference or Workshop Item (Paper)
Themes:	Energy Subjects outside of the University Themes
Schools:	Schools > School of Computing, Science and Engineering > Salford Innovation Research Centre
Refereed:	Yes
Related URLs:	Organisation
Funders:	University of Salford
Depositing User:	JM Christian
Date Deposited:	07 Jul 2015 14:54
Last Modified:	15 Feb 2022 19:30
URI:	http://usir.salford.ac.uk/id/eprint/35367

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