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Progress In Electromagnetics Research
ISSN: 1070-4698, E-ISSN: 1559-8985
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AN EFFICIENT AND ACCURATE METHOD TO SOLVE LOW FREQUENCY AND NON-CONFORMAL PROBLEMS USING FINITE DIFFERENCE TIME DOMAIN (FDTD) (INVITED PAPER)

By K. Panayappan and R. Mittra

Full Article PDF (392 KB)

Abstract:
In this article we present νFDTD (New FDTD), an efficient and accurate method for solving low frequency problems and with those non-conformal geometries by using the Finite Difference Time Domain (FDTD) method. The conventional time domain technique FDTD demands extensive computational resources when solving low frequency problems, or when dealing with dispersive media. The νFDTD technique is a new general-purpose field solver, which is designed to tackle the above mentioned 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 (DM) approach. This blend of time domain and frequency domain techniques empowers the solver with 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.

Citation:
K. Panayappan and R. Mittra, "An Efficient and Accurate Method to Solve Low Frequency and Non-Conformal Problems Using Finite Difference Time Domain (FDTD) (Invited Paper)," Progress In Electromagnetics Research, Vol. 150, 183-196, 2015.
doi:10.2528/PIER15011407
http://www.jpier.org/PIER/pier.php?paper=15011407

References:
1. Mittra, R., Computational Electromagnetics: Recent Advances and Engineering Applications, Springer-Verlag, New York, USA, 2013.

2. Yu, W. and R. Mittra, "A conformal FDTD software package modeling antennas and microstrip circuit components," IEEE Trans. Antennas and Propagation, 28-39, 2000.

3. Panayappan, K., Novel frequency domain techniques and advances in finite difference time domain (FDTD) method for efficient solution of multiscale electromagnetic problems, Ph.D. dissertation, The Pennsylvania State University, University Park, May 2013.

4. Balanis, C. A., Antenna Theory: Analysis and Design, John Wiley & Sons, New Jersey, 2005.

5. Furse, C. M., "Application of the finite difference time domain method to bioelectromagnetic simulations," Applied Computational Electromagnetics Society Newsletter, 1997.

6. Yu, W., R. Mittra, T. Su, Y. Liu, and X. Yang, Parallel Finite-Difference Time-Domain Method, Artech House, London, 2006.


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