Fractal laser sources: new analyses, results and contexts
Christian, JM, McDonald, GS, Heyes, AS and Huang, JG 2010, Fractal laser sources: new analyses, results and contexts , in: National Photonics Conference, Photon 10, 23-26 Aug, 2010, Southampton, UK.
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A series of significant new extensions concerning fractal light generation are reported. Firstly, we summarise techniques and results from the first full analysis of the linear modes of ‘fractal lasers’  – unstable-cavity geometries with arbitrary Fresnel number Neq and arbitrary round-trip magnification M. Secondly, simulations and analyses for new contexts of laser-driven ‘nonlinear fractal generators’  – where analogous nonlinear processes spontaneously generate fractals – are presented. Finally, we outline why such fractal laser sources may play a pivotal role in future Nature-inspired devices and system architectures. Our discovery of fractal laser modes from unstable-cavity lasers  uncovered a general class of linear systems (with repeated magnification) that possess fractal eigenmodes. However, numerical or analytical analyses was limited to modes of either: very limited fractality, laser cavities with Neq ≈ O(1); or unlimited fractality, when Neq >> O(1). General properties of fractal modes from these two extremes are, perhaps unsurprisingly, different. Building on Fresnel diffraction theory developments , we report fractal mode characteristics in the important intermediate regime – corresponding to real-world systems with significant and exploitable fractality (see Figure 1). <FIGURE 1> Figure 1. Lowest-loss eigenmode patterns for ‘kaleidoscope fractals lasers’ with Neq = 30 and M = 1.5. We further proposed fractal light generation through entirely-nonlinear mechanisms . The context examined was a single configuration with a particular nonlinearity. Generalisation of this work to new contexts - with profoundly different nonlinearities and experimental configurations, such as ring cavities and cavity-less contexts – will be summarised. The huge spatial bandwidths associated with fractal sources have potential exploitation within novel technological contexts. We conclude with a brief account of such potential new technologies. References  Karman G P, McDonald G S, New G H C and Woerdman JP, Nature 402, 138 (1999).  Huang J G and McDonald G S, Phys. Rev. Lett. 94, 174101 (2005).  Huang J G, Christian J M and McDonald G S, J. Opt. Soc. Am. A 23, 2768 (2006).
|Item Type:||Conference or Workshop Item (Paper)|
Media, Digital Technology and the Creative Economy
Subjects outside of the University Themes
|Schools:||Colleges and Schools > College of Science & Technology > School of Computing, Science and Engineering > Materials & Physics Research Centre|
|Journal or Publication Title:||Technical Digest: National Photonics Conference, Photon 10, Southampton, 2010|
|Publisher:||Institute of Physics (IoP)|
|Depositing User:||GS McDonald|
|Date Deposited:||13 Oct 2011 09:25|
|Last Modified:||20 Aug 2013 18:13|
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