1 May 2008 A new method for solving nonhermitian perturbation theory for the microdisc resonators with phi-periodic refractive index
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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.
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Shahram Keyvaninia, Masoumeh Karvar, Alireza Bahrampour, "A new method for solving nonhermitian perturbation theory for the microdisc resonators with phi-periodic refractive index", Proc. SPIE 6996, Silicon Photonics and Photonic Integrated Circuits, 69961V (1 May 2008); doi: 10.1117/12.781464; https://doi.org/10.1117/12.781464
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