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Iteration methods and algorithms for dielectric-resonator integral equations of the field

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Radiophysics and Quantum Electronics Aims and scope

Quasi-eigenmodes of open cylindrical and rectangular dielectric resonators (DRs) are determined by the method of iterative solution of the volume integral and integro-differential equations with corresponding functionals. New forms of equations and iteration algorithms for the nonlinear input of the desired complex parameter are proposed. Frequencies and Q-factors of the H01δ and H011 modes of a cylindrical DR and the H mode of a rectangular DR for the uniform and nonuniform cases are obtained numerically. The influence of a thin semiconductor layer located at the ends of the DR and irradiated by high-power laser pulses on the frequencies and Q-factors of the DR modes is examined. It is shown that an up to ten or more percent tuning of resonant frequencies can be reached by transformation of a low conducting state to a high conducting state.

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  1. Saratov State University, Saratov, Russia

    M. V. Davidovich & Yu. V. Stefyuk

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  1. M. V. Davidovich
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  2. Yu. V. Stefyuk
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Correspondence to Yu. V. Stefyuk.

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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Radiofizika, Vol. 53, No. 4, pp. 296–309, April 2010.

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Davidovich, M.V., Stefyuk, Y.V. Iteration methods and algorithms for dielectric-resonator integral equations of the field. Radiophys Quantum El 53, 268–280 (2010). https://doi.org/10.1007/s11141-010-9226-8

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