Laser optics: Fractal modes in unstable resonators
@article{Krmn1999LaserOF, title={Laser optics: Fractal modes in unstable resonators}, author={G{\'a}bor K{\'a}rm{\'a}n and G. S. McDonald and G. H. C. New and J. P. Woerdman}, journal={Nature}, year={1999}, volume={402}, pages={138-138} }
One of the simplest optical systems, consisting of two mirrors facing each other to form a resonator, turns out to have a surprising property. Stable resonators, in which the paths of the rays are confined between the two mirrors, have a well known mode structure (hermite–gaussian), but the nature of the modes that can occur in unstable reson-ant cavities (from which the rays ultimately escape) are harder to calculate, particularly for real three-dimensional situations. Here we show that these…
69 Citations
Higher-order fractal laser modes
- PhysicsConference Digest. 2000 International Quantum Electronics Conference (Cat. No.00TH8504)
- 2000
Our recent unexpected discovery that fractal pattern formation occurs in the modes of unstable optical resonators has opened up a new area in laser science. In this paper, we present recent results…
Fractal laser mode structure due to iterated diffractive multiple imaging
- Physics
- 2002
A variation on iterated multiple imaging in optical resonators, a mechanism that creates fractal structure in the resonator's eigenmodes, is presented. During each round trip, side-by-side images of…
Fractal light from lasers
- PhysicsPhysical Review A
- 2019
Fractals, complex shapes with structure at multiple scales, have long been observed in Nature: as symmetric fractals in plants and sea shells, and as statistical fractals in clouds, mountains and…
Fractal frequency spectrum in laser resonators and three-dimensional geometric topology of optical coherent waves
- Physics
- 2016
We theoretically verify that the symmetry breaking in spherical resonators can result in a fractal frequency spectrum that is full of numerous new accidental degeneracies to cluster around the…
Novel optical resonators
- Physics
- 2012
Optical resonators – two mirrors facing each other, separated by a distance – are a very well studied technology. However, even such a well understood technology can sometimes present surprises. The…
Unstable resonators with polygon and von Koch-type boundary conditions : virtual source modelling of fractal eigenmodes
- Physics
- 2015
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…
Higher-order modes of the kaleidoscope laser
- PhysicsQELS 2000
- 2000
Summary form only given. The recent discovery that the modes of hard-aperture unstable cavity lasers have fractal character and the subsequent extension of the work into two transverse dimensions…
References
SHOWING 1-6 OF 6 REFERENCES
Fractal structure of eigenmodes of unstable-cavity lasers.
- PhysicsOptics letters
- 1998
It is shown that the eigenmodes of unstable-cavity lasers have fractal structure, in contrast with the well-known stable-c Cavity eigenModes, and the fractal dimension of the mode profiles is determined and it is related to the aperture shape.
Topology in chaotic scattering
- PhysicsNature
- 1999
In chaotic scattering, an initially freely moving orbit (such as that of an atom or a star) enters a scattering region and evolves chaotically for a period of time before it escapes and returns to…
Spatial grid symmetries and reduced models in the simulation of beam counterpropagation in a nonlinear medium
- Physics, Computer Science
- 1993
A generalization of the split-step Fourier method which allows for non-orthogonal spatial grids is formulated, and implementation is shown to be simple and to entail negligible computational overheads.
Fractal geometry - mathematical foundations and applications
- Mathematics
- 1990
Applications and examples: fractals defined by transformations examples from number theory graphs of functions examples from pure mathematics dynamical systems iteration of complex functions-Julia sets random fractals Brownian motion and Brownian surfaces multifractal measures physical applications.
Experimental Observation of a Large Excess Quantum Noise Factor in the Linewidth of a Laser Oscillator Having Nonorthogonal Modes.
- PhysicsPhysical review letters
- 1996