Three-dimensional self-similar fractal light in canonical resonators

Steven W. Miller; John Nelson; Johannes Courtial

doi:10.1117/12.2061410

2 October 2014 Three-dimensional self-similar fractal light in canonical resonators

Steven W. Miller, John Nelson, Johannes Courtial

Proceedings Volume 9194, Laser Beam Shaping XV; 91940Z (2014) https://doi.org/10.1117/12.2061410
Event: SPIE Optical Engineering + Applications, 2014, San Diego, California, United States

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.

Citation Download Citation

Steven W. Miller, John Nelson, and Johannes Courtial "Three-dimensional self-similar fractal light in canonical resonators", Proc. SPIE 9194, Laser Beam Shaping XV, 91940Z (2 October 2014); https://doi.org/10.1117/12.2061410

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