Use of frequency derivatives in the 3D full-wave spectral domain technique
Joseph Edward Pekarek, T. Itoh
Abstract
Joseph Edward Pekarek, T. Itoh
Abstract
Rational function approximations are used to extrapolate the frequency response of scattering coefficients of 3D structures. The rational functions are constructed by applying Pade approximation techniques to single frequency solutions of the currents and the derivatives of the currents with respect to frequency. The currents and current derivatives are computed using a modified spectral domain technique. The efficiency of the method, along with the direct determination of the poles and zeros of the transfer function, make the method well suited for Model-Based Parameter Estimation (MBPE). Multi-frequency-point Pade approximations are also investigated.
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Rational function approximations are used to extrapolate the frequency response of scattering coefficients of 3D structures. The rational functions are constructed by applying Pade approximation techniques to single frequency solutions of the currents and the derivatives of the currents with respect to frequency. The currents and current derivatives are computed using a modified spectral domain technique. The efficiency of the method, along with the direct determination of the poles and zeros of the transfer function, make the method well suited for Model-Based Parameter Estimation (MBPE). Multi-frequency-point Pade approximations are also investigated.
Key concepts: Padé approximant, Rational function, Transfer function, Frequency domain, Frequency response, Function (biology), Mathematics, Mathematical analysis