Finite Difference Time Domain Modeling of Fringe Waves

Authors

  • Mehmet Alper Uslu Department of TGE, NETAS, Istanbul, Turkey
  • Gokhan Apaydin Electromagnetic Consulting, Istanbul, Turkey
  • Levent Sevgi Department of Electrical-Electronics Engineering Okan University, Tuzla, Istanbul, 34759, Turkey

Keywords:

Finite difference time domain (FDTD), fringe waves, method of moments (MoM), nonuniform currents, physical theory of diffraction, PTD, uniform currents, wedge

Abstract

A novel method is introduced for calculating fringe currents and fringe waves around the tip of a perfectly reflecting wedge under line source illumination. The time-domain fringe (non-uniform) currents are extracted with the finite-difference time-domain (FDTD) method. These currents are then fed into a free-space FDTD and fringe waves are excited. Alternatively, fringe waves are also obtained using the Green’s function approach. The validation of the proposed method and the verification of the results are done against the physical theory of diffraction (PTD) as well as the method of moments (MoM). The factors affecting the accuracy are also discussed.

Downloads

Download data is not yet available.

References

H. Macdonald, “The effect produced by an obstacle on a train of electric waves,” Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol. 212, no. 484-496, pp. 299-337, 1913.

P. Ufimtsev, Fundamentals of the Physical Theory of Diffraction. Hoboken, N.J.: Wiley-Interscience, 2007.

P. Ufimtsev, A. Terzuoli, and R. Moore, Theory of Edge Diffraction in Electromagnetics. Raleigh, NC: SciTech, 2009.

F. Hacivelioglu, L. Sevgi, and P. Ufimtsev, “Wedge diffracted waves excited by a line source: Exact and asymptotic forms of fringe waves,” IEEE Trans. Antennas Propag., vol. 61, no. 9, pp. 4705-4712, Sept. 2013.

G. Apaydin, F. Hacivelioglu, L. Sevgi, and P. Ufimtsev, “Wedge diffracted waves excited by a line source: Method of moments (mom) modeling of fringe waves,” IEEE Trans. Antennas Propag., vol. 62, no. 8, pp. 4368-4371, Aug. 2014.

G. Cakir, L. Sevgi, and P. Ufimtsev, “FDTD modeling of electromagnetic wave scattering from a wedge with perfectly reflecting boundaries: Comparisons against analytical models and calibration,” IEEE Trans. Antennas Propag., vol. 60, no. 7, pp. 3336-3342, July 2012.

G. Stratis, V. Anantha, and A. Taflove, “Numerical calculation of diffraction coefficients of generic conducting and dielectric wedges using FDTD,” IEEE Trans. Antennas Propag., vol. 45, no. 10, pp. 1525-1529, Oct. 1997.

V. Anantha and A. Taflove, “Calculation of diffraction coefficients of three-dimensional infinite conducting wedges using FDTD,” IEEE Trans. Antennas Propag., vol. 46, no. 11, pp. 1755-1756, Nov. 1998.

M. A. Uslu and L. Sevgi, “Matlab-based virtual wedge scattering tool for the comparison of high frequency asymptotics and fdtd method,” The Applied Computational Electromagnetics Society, vol. 27, no. 9, 2012.

M. A. Uslu, G. Apaydin, and L. Sevgi, “Double tip diffraction modeling: Finite difference time domain vs. method of moments,” IEEE Trans. Antennas Propag., vol. 62, no. 12, pp. 6337-6343, Dec. 2014.

J. Bowman, T. Senior, and P. Uslenghi, Electromagnetic and Acoustic Scattering by Simple Shapes. New York: Hemisphere, 1987.

F. Hacivelioglu, L. Sevgi, and P. Y. Ufimtsev, “On the numerical evaluation of diffraction formulas for the canonical wedge scattering problem,” IEEE Antennas Propag. Mag., vol. 55, no. 5, pp. 257- 272, Oct. 2013.

K. Yee, “Numerical solution of initial boundary value problems involving Maxwell;s equations in isotropic media,” IEEE Trans. Antennas Propag., vol. 14, no. 3, pp. 302-307, May 1966.

Downloads

Published

2021-07-30

How to Cite

[1]
Mehmet Alper Uslu, Gokhan Apaydin, and Levent Sevgi, “Finite Difference Time Domain Modeling of Fringe Waves”, ACES Journal, vol. 32, no. 07, pp. 575–580, Jul. 2021.

Issue

Section

Articles