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A novel compact conformal two dimensional finite-difference frequency-domain (FDFD) method is proposed for modeling waveports in the finite-difference time-domain (FDTD) method. To avoid time step reduction, the simplified conformal (SC) scheme is adapted to the standard FDTD formalism. Moreover, under the simplified conformal FDTD framework, the SC scheme is extended to the FDFD method to improve the accuracy of waveport mode calculations by solving eigenvalue equation. In order to improve the efficiency and practicality, the eigenvalue equation containing only two transverse electric field components is derived, and a spectral transformation is applied. Several examples including different types of waveguide structures are provided to demonstrate the accuracy and efficiency of the proposed method.
Wang et al. (Tue,) studied this question.