Trace formula for dielectric cavities. III. TE modes

E. Bogomolny; Remy Dubertrand

doi:10.1103/PhysRevE.86.026202

Trace formula for dielectric cavities. III. TE modes

E. Bogomolny, Remy Dubertrand

Research output: Contribution to journal › Article › peer-review

6 Citations (Scopus)

20 Downloads (Pure)

Abstract

The construction of the semiclassical trace formula for resonances with transverse electric 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 formulas obtained agree well with numerical calculations for dielectric cavities of different shapes.

Original language	English
Article number	026202
Journal	Physical Review E
Volume	86
Issue number	2
DOIs	https://doi.org/10.1103/PhysRevE.86.026202
Publication status	Published - 10 Aug 2012
Externally published	Yes

Access to Document

10.1103/PhysRevE.86.026202

1206.3488Accepted author manuscript, 1.69 MB

Cite this

@article{12cc5b36e992433aa4a84cbe3e14da1b,

title = "Trace formula for dielectric cavities. III. TE modes",

abstract = "The construction of the semiclassical trace formula for resonances with transverse electric 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 formulas obtained agree well with numerical calculations for dielectric cavities of different shapes.",

author = "E. Bogomolny and Remy Dubertrand",

year = "2012",

month = aug,

day = "10",

doi = "10.1103/PhysRevE.86.026202",

language = "English",

volume = "86",

journal = "Physical Review E",

issn = "1539-3755",

publisher = "American Physical Society",

number = "2",

}

TY - JOUR

T1 - Trace formula for dielectric cavities. III. TE modes

AU - Bogomolny, E.

AU - Dubertrand, Remy

PY - 2012/8/10

Y1 - 2012/8/10

N2 - The construction of the semiclassical trace formula for resonances with transverse electric 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 formulas obtained agree well with numerical calculations for dielectric cavities of different shapes.

AB - The construction of the semiclassical trace formula for resonances with transverse electric 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 formulas obtained agree well with numerical calculations for dielectric cavities of different shapes.

U2 - 10.1103/PhysRevE.86.026202

DO - 10.1103/PhysRevE.86.026202

M3 - Article

SN - 1539-3755

VL - 86

JO - Physical Review E

JF - Physical Review E

IS - 2

M1 - 026202

ER -

Trace formula for dielectric cavities. III. TE modes

Abstract

Access to Document

Fingerprint

Cite this