Counting function for a sphere of anisotropic quartz.
We calculate the leading Weyl term of the counting function for a monocrystalline 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.
Søndergaard
Niels
N
Matematisk Fysik, LTH, Lunds Universitet, Sweden. Niels.Sondergaard@matfys.lth.se
Guhr
Thomas
T
Oxborrow
Mark
M
Schaadt
Kristian
K
Ellegaard
Clive
C