Trace formula for dielectric cavities III: TE modes
Chaotic Dynamics
2012-08-13 v1 Mathematical Physics
math.MP
Abstract
The construction of the semiclassical trace formula for the resonances with the transverse electric (TE) polarization for two-dimensional dielectric cavities is discussed. Special attention is given to the derivation of the two first terms of Weyl's series for the average number of such resonances. The obtained formulas agree well with numerical calculations for dielectric cavities of different shapes.
Cite
@article{arxiv.1206.3488,
title = {Trace formula for dielectric cavities III: TE modes},
author = {E. Bogomolny and R. Dubertrand},
journal= {arXiv preprint arXiv:1206.3488},
year = {2012}
}
Comments
12 pages, 6 figures