Classic-fractal eigenmodes of unstable canonical resonators

It was recently shown that intensity cross-sections through the eigenmodes of canonical unstable resonators with polygonal apertures can have the statistical scaling behaviour of fractals. Here we present computer simulations which show that a careful choice of the resonator's parameters, in particular the hitherto unexplored sideways shift of the aperture, can result in intensity cross-sections related to many classic self-similar fractals, such as the Sierpinski Gasket and the Kock Snowflake. Our computer simulations use the monitor-outside-a-monitor effect, which we argue to be equivalent to the more commonly used virtual source method