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Proceedings Paper

A new method for solving nonhermitian perturbation theory for the microdisc resonators with phi-periodic refractive index
Author(s): Shahram Keyvaninia; Masoumeh Karvar; Alireza Bahrampour
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Paper Abstract

The radiation loss in the whispering gallery resonators causes the eigenvalues of the Maxwell equations with the corresponding boundary conditions complex. The corresponding operators are nonhermitian and for these operators the standard perturbation techniques have some difficulties. In this paper by employing the Floquet theorem a new technique for the φ periodic perturbations is developed. The method is applied to obtain the change of resonance frequencies and losses of φ -perturbed microresonators with cylindrical symmetry. The results are compatible with that are obtained by the Volume Current Method.

Paper Details

Date Published: 1 May 2008
PDF: 8 pages
Proc. SPIE 6996, Silicon Photonics and Photonic Integrated Circuits, 69961V (1 May 2008); doi: 10.1117/12.781464
Show Author Affiliations
Shahram Keyvaninia, Sharif Univ. of Technology (Iran)
International Ctr. of Science, High Technology and Environmental Science (Iran)
Masoumeh Karvar, Sharif Univ. of Technology (Iran)
International Ctr. of Science, High Technology and Environmental Science (Iran)
Alireza Bahrampour, Sharif Univ. of Technology (Iran)
International Ctr. of Science, High Technology and Environmental Science (Iran)


Published in SPIE Proceedings Vol. 6996:
Silicon Photonics and Photonic Integrated Circuits
Giancarlo C. Righini; Seppo K. Honkanen; Lorenzo Pavesi; Laurent Vivien, Editor(s)

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