The method of auxiliary sources for eigen frequencies and eigen fields determination

The method of auxiliary sources is used in the spectral problem for 2D and 3D electromagnetic resonators. Instead of traditional solution methods, based on the search of nonzero roots of homogenous equation system, in this work the problem is reduced to the solution of the nonhomogeneous system whic...

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Bibliographic Details
Main Authors: Petoev, I., Tabatadze, V., Zaridze, R.
Format: Conference Proceeding
Language:English
Subjects:
Algorithms
Boundary conditions
Computing time
eigen field
eigen frequency
Electromagnetic scattering
Electromagnetic waveguides
Inverse problems
MAS
Mathematical analysis
Mathematical model
resonance
Resonant frequencies
Resonant frequency
resonator
Resonators
Searching
Seminars
Three dimensional
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Summary:The method of auxiliary sources is used in the spectral problem for 2D and 3D electromagnetic resonators. Instead of traditional solution methods, based on the search of nonzero roots of homogenous equation system, in this work the problem is reduced to the solution of the nonhomogeneous system which simplifies the solution of the stated problem. Considering the diffraction problem on concrete objects and calculating the frequency characteristic for them, the resonant frequencies are determined, corresponding to their eigen values, at which the inner resonant field is excited as a standing wave. The obtained results confirm the efficiency of the proposed algorithm.
ISSN:2165-3585
2165-3593
DOI:10.1109/DIPED.2015.7324236