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Experimental observation of fractal modes in unstable optical resonators

Javier A. Loaiza·Eric R. Eliel·J. P. Woerdman
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Abstract

We use a spatially resolved cavity ring-down technique to show that the 2D eigenmode of an unstable optical cavity has a fractal pattern, i.e. it looks the same at different length scales. In agreement with theory, we find that this pattern has the maximum conceivable roughness, i.e., its fractal dimension is 3.01 plus\minus 0.04. This insight in the nature of unstable cavity eigenmodes may lead to better understanding of wave dynamics in open systems, for both light and matter waves.

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Javier A. Loaiza, Eric R. Eliel, J. P. Woerdman. 2003-04-11. Experimental observation of fractal modes in unstable optical resonators. https://arxiv.org/abs/physics/0304046

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