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Counting function for a sphere of anisotropic quartz

N. Sondergaard·T. Guhr·M. Oxborrow·K. Schaadt·C. Ellegaard
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Abstract

We calculate the leading Weyl term of the counting function for a mono-crystalline quartz sphere. In contrast to other studies of counting functions, the anisotropy of quartz is a crucial element in our investigation. Hence, we do not obtain a simple analytical form, but we carry out a numerical evaluation. To this end we employ the Radon transform representation of the Green's function. We compare our result to a previously measured unique data set of several tens of thousands of resonances.

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N. Sondergaard, T. Guhr, M. Oxborrow, K. Schaadt, C. Ellegaard. 2005-04-06. Counting function for a sphere of anisotropic quartz. https://doi.org/10.1103/physreve.70.036206

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