A Method of Moments Wide Band Adaptive Rational Interpolation Method for High-Quality Factor Resonant Cavities

A new adaptive rational interpolation method is proposed to obtain the wideband frequency response of a resonant cavity simulated with the method of moments (MoM). This interpolation method uses both the Loewner matrix to construct a rational expression for the solution vector of MoM's matrix s...

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Bibliographic Details
Published in:IEEE transactions on antennas and propagation 2022-05, Vol.70 (5), p.3595-3604
Main Authors: Yuan, Hao-Bo, Bao, Wen-Tao, Lee, Chung Hyun, Zinser, Brian F., Campione, Salvatore, Lee, Jin-Fa
Format: Article
Language:English
Subjects:
ENGINEERING
Frequency response
Holes
Impedance
Input impedance
Integral equations
Interpolation
Mathematical models
Method of moments
method of moments (MoM)
methods of moments(MoM)
Q factors
rational functions
Resonant frequency
resonators
Shielding
Surface impedance
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Summary:A new adaptive rational interpolation method is proposed to obtain the wideband frequency response of a resonant cavity simulated with the method of moments (MoM). This interpolation method uses both the Loewner matrix to construct a rational expression for the solution vector of MoM's matrix system and an error estimator generated by the solution vectors and their derivatives. This error estimator is implemented in the adaptive procedure to gain a minimum set of frequencies and solution vectors required in the interpolation. The resulting set of frequencies and solution vectors is applied to interpolate other system variables, such as shielding effectiveness and input impedance. Numerical results of a slotted cylindrical cavity supporting high-quality factor resonances are presented, showing that the new rational interpolation method is accurate and efficient in interpolating the complicated resonant response of the solution vector functions.
ISSN:0018-926X
1558-2221
DOI:10.1109/TAP.2022.3142281