A Review of νFDTD: An Efficient and Accurate Method to Solve Low Frequency, Non-Conformal and Multi-Scale Problems Using FDTD

Authors: Kadappan Panayappan and Raj Mittra

Source: FERMAT, Volume 11, Article, Sep_Oct, 2015


Abstract: In this write up we present a review of νFDTD, an efficient and accurate method to solve low frequency, non-conformal and multi-scale problems using FDTD. The conventional time domain technique FDTD demands extensive computational resources when solving low frequency problems, or when dealing with dispersive media, or when structures with high Q factor are involved. The νFDTD (New FDTD) technique is a new general-purpose field solver, which is designed to tackle the above issues using some novel approaches, which deviate significantly from the legacy methods that only rely on minor modifications of the FDTD update algorithm. The νFDTD solver is a hybridized version of the conformal FDTD (CFDTD), and a novel frequency domain technique called the Dipole Moment Approach (DM Approach). This blend of time domain and frequency domain techniques empowers the solver with the potential to solve problems that involve: (i) calculating low-frequency response accurately and numerically efficiently; (ii) handling non-Cartesian geometries such as curved surfaces accurately without staircasing; (iii) handling thin structures, with or without finite losses; and (iv) dealing with multi-scale geometries.

Keywords: Method of Moments (MoM), Finite Element Method (FEM), Finite Difference Time Domain (FDTD) Method, Dipole Moment Approach


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A Review of νFDTD: An Efficient and Accurate Method to Solve Low Frequency, Non-Conformal and Multi-Scale Problems Using FDTD