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

Yuan, Hao-Bo; Bao, Wen-Tao; Lee, Chung Hyun; Zinser, Brian F.; Campione, Salvatore; Lee, Jin-Fa

doi:10.1109/tap.2022.3142281

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

Journal Article · 18 January 2022 · IEEE Transactions on Antennas and Propagation

DOI: https://doi.org/10.1109/tap.2022.3142281 · OSTI ID:1882857

^[1]; Bao, Wen-Tao ^[2];

^[2]; Zinser, Brian F. ^[3];

^[3]; Lee, Jin-Fa ^[2]

The Ohio State Univ., Columbus, OH (United States); Xidian University, Xi'an (China)
The Ohio State Univ., Columbus, OH (United States)
Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)

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. Here 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.

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Research Organization:: Sandia National Laboratories (SNL-NM), Albuquerque, NM (United States)

Sponsoring Organization:: USDOE National Nuclear Security Administration (NNSA)

Grant/Contract Number:: NA0003525

OSTI ID:: 1882857

Report Number(s):: SAND2021-15067J; 702074

Journal Information:: IEEE Transactions on Antennas and Propagation, Journal Name: IEEE Transactions on Antennas and Propagation Journal Issue: 5 Vol. 70; ISSN 0018-926X

Publisher:: IEEECopyright Statement

Country of Publication:: United States

Language:: English

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42 ENGINEERING
impedance
integral equations
interpolation
mathematical models
methods of moments(MoM)
rational functions
resonant frequency
resonators
surface impedance

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

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