2 October 2014 Three-dimensional self-similar fractal light in canonical resonators
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Abstract
Unstable canonical resonators can possess eigenmodes with a fractal intensity structure [Karman et al., Nature 402, 138(1999)]. In one particular transverse plane, the intensity is not merely statistically fractal, but self-similar [Courtial and Padgett, PRL 85, 5320 (2000)]. This can be explained using a combination of diffraction and imaging with magnification greater than one. Here we show that the same mechanism also shapes the intensity cross-section in the longitudinal direction into a self-similar fractal, but with a different magnification. This results in three-dimensional, self-similar, fractal intensity structure in the eigenmodes.
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Steven W. Miller, Steven W. Miller, John Nelson, John Nelson, Johannes Courtial, Johannes Courtial, } "Three-dimensional self-similar fractal light in canonical resonators", Proc. SPIE 9194, Laser Beam Shaping XV, 91940Z (2 October 2014); doi: 10.1117/12.2061410; https://doi.org/10.1117/12.2061410
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