Trace formula for dielectric cavities III: TE modes
E. Bogomolny, R. Dubertrand
TL;DR
This paper derives a semiclassical trace formula for TE mode resonances in 2D dielectric cavities, providing analytical expressions that match numerical results across various cavity shapes.
Contribution
It presents the first derivation of the trace formula for TE modes in dielectric cavities, including the first two terms of Weyl's series, with validation against numerical data.
Findings
Derived trace formula matches numerical results
First two Weyl terms obtained for TE modes
Applicable to various cavity shapes
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.
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