A 4-D Subgrid Scheme for the NS-FDTD Technique Using the CNS-FDTD Algorithm With the Shepard Method and a Gaussian Smoothing Filter

• Published in: IEEE transactions on magnetics Vol. 51; no. 3; pp. 1 - 4
• Main Authors: Ohtani, Tadao, Kanai, Yasushi, Kantartzis, Nikolaos V.
• Format: Journal Article
• Language: English
• Published: New York IEEE 01.03.2015; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Algorithms; Antenna radiation patterns; Conventions; Finite difference method; Finite difference methods; Gaussian; Interpolation; Magnetism; Mathematical analysis; Mathematical models; Numerical stability; Smoothing; Smoothing methods; Stability analysis; Three dimensional; Time-domain analysis; finite-difference time-domain (FDTD) methods; iterative schemes; Antenna analysis; nonstandard (NS) discretization techniques; subgrid algorithms
• ISSN: 0018-9464; 1941-0069
• DOI: 10.1109/TMAG.2014.2360841

A precise subgrid technique for the nonstandard finite-difference time-domain (NS-FDTD) method in 4-D (i.e., 3-D space and 1-D time) is proposed in this paper. The novel algorithm is efficiently blended with the Shepard scheme and a Gaussian smoothing filter to minimize the error in the interpolated values used for the spatial connection process. Moreover, the required time interpolation is performed via the complex (C)NS-FDTD approach. A key advantage of the proposed formulation is its structural simplicity, due to the prior interpolation concepts and the absence of any nonphysical convention, which enables its straightforward application to a variety of realistic problems. The numerical results validate the benefits of the method by means of different subgrid simulation scenarios.