A Novel Wedge Diffraction Modeling Using Method of Moments (MoM)

Authors

  • Gokhan Apaydin Department of Electrical-Electronics Engineering Zirve University, Gaziantep, 27260, Turkey
  • Levent Sevgi Department of Electrical and Electronics Engineering Okan University, Istanbul, 34959, Turkey

Keywords:

Diffraction, high frequency asymptotics, Method of Moments (MoM), wedge

Abstract

Scattering from edges and/or tips (i.e., diffraction) has long been modeled using different approaches. Initially, it was handled analytically using high frequency asymptotics (HFA). Parallel to the development in computer technology diffraction has begun to be modeled using numerical approaches also. Here, method of moments (MoM) is used to model the canonical wedge scattering problem and a novel, generally applicable procedure is introduced to extract diffracted fields and diffraction coefficients.

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References

C. A. Balanis, Advanced Engineering Electromagnetics, Wiley, 2012.

P. Ya. Ufimtsev, Fundamentals of the Physical Theory of Diffraction, Wiley, Hoboken, 2007.

[[3] C. Balanis, L. Sevgi, and P. Ya Ufimtsev, “Fifty years of high frequency diffraction,” Int. J. RF Microw. Comput.-Aided Engrg., vol. 23, no. 4, pp. 394-402, July 2013.

[[4] G. Pelosi, Y. Rahmat-Samii, and J. L. Volakis, “High frequency techniques in diffraction theory: 50 years of achievements in GTD, PTD, and related approaches,” IEEE Antennas Propag. Mag., vol. 55, no. 3, pp. 16-17, June 2013.

[[5] P. Ya. Ufimtsev, “The 50-year anniversary of the PTD: comments on the PTD’s origin and development,” IEEE Antennas Propag. Mag., vol. 55, no. 3, pp. 18-28, June 2013.

[[6] Y. Rahmat-Samii, “GTD, UTD, UAT, STD: a historical revisit and personal observations,” IEEE Antennas Propag. Mag., vol. 55, no. 3, pp. 29-40, June 2013.

[[7] G. Pelosi and S. Selleri, “The wedge-type problem: the building brick in high-frequency scattering from complex objects,” IEEE Antennas Propag. Mag., vol. 55, no. 3, pp. 41-58, June 2013.

[[8] F. Hacivelioglu, L. Sevgi, and P. Ya. Ufimtsev, “Wedge diffracted waves excited by a line source: exact and asymptotic forms of fringe waves,” IEEE Trans. Antennas Propagat., vol. AP-61, pp. 4705- 4712, Sep. 2013.

[[9] A. K. Gautesen, “Diffraction of plane waves by a wedge with impedance boundary conditions,” Wave Motion, vol. 41, pp. 239-246, 2005.

[[10] N. R. T. Biggs, “A new family of embedding formulae for diffraction by wedges and polygons,” Wave Motion, vol. 43, pp. 517-528, 2006.

[[11] F. Hacivelioglu, M. A. Uslu, and L. Sevgi, “A matlab-based virtual tool for the electromagnetic wave scattering from a perfectly reflecting wedge,” IEEE Antennas Propag. Mag., vol. 53, no. 6, pp. 234-243, Dec. 2011.

[[12] K. S. Yee, “Numerical solution of initial boundary value problems involving Maxwell’s equations in isotropic media,” IEEE Trans. Antennas Propagat., AP-14, pp. 302-307, 1966.

[[13] V. Anantha and A. Taflove, “Efficient modeling of infinite scatterers using a generalized totalfield/scattered field FDTD boundary partially embedded within PML,” IEEE Trans. Antennas Propagat., AP-50, pp. 1337-1349, Oct. 2002.

[[14] J.-H. Chang and A. Taflove, “Three-dimensional diffraction by infinite conducting and dielectric wedges using a generalized total-field/scatteredfield FDTD formulation,” IEEE Trans. Antennas Propagat., AP-53, pp. 1444-1454, Apr. 2005.

[[15] G. Cakir, L. Sevgi, and P. Ya. Ufimtsev, “FDTD modeling of electromagnetic wave scattering from a wedge with perfectly reflecting boundaries: comparisons against analytical models and calibration,” IEEE Trans. Antennas Propagat., AP60, pp. 3336-3342, July 2012.

[[16] M. A. Uslu and L. Sevgi, “Matlab-based virtual wedge scattering tool for the comparison of high frequency asymptotics and FDTD method,” Int. J. Appl. Comput. Electromagnet., vol. 27, no. 9, pp. 697-705, Sep. 2012.

[[17] H. J. Bilow, “Scattering by an infinite wedge with tensor impedance boundary conditions-a moment method/physical optics solution for the currents,” IEEE Trans. Antennas Propagat., AP-39, pp. 767- 773, June 1991.

[[18] Z. Gong, B. Xiao, G. Zhu, and H. Ke, “Improvements to the hybrid MoM-PO technique for scattering of plane wave by an infinite wedge,” IEEE Trans. Antennas Propagat., AP- 54, pp. 251- 255, Jan. 2006.

[[19] W. D. Burnside, C. L. Yu, and R. J. Marhefka, “A technique to combine the geometrical theory of diffraction and the moment method,” IEEE Trans. Antennas Propagat., AP-23, pp. 551-558, July 1975.

[[20] R. D. Graglia and G. Lombardi, “Singular higherorder divergence-conforming bases of additive kind and moments method applications to 3D sharp wedge structures,” IEEE Trans. Antennas Propagat., AP-56, pp. 3768-3788, Dec. 2008.

[[21] U. Jakobus and F. M. Landstorefer, “Improvement of the PO-MoM hybrid method by accounting for effects of perfectly conducting wedges,” IEEE Trans. Antennas Propagat., AP-43, pp. 1123-1129, Oct. 1995.

[[22] R. F. Harrington, Field Computation by Moment Method, New York: IEEE Press, 1993.

[[23] A. Sommerfeld, “Mathematische theorie der diffraction,” Mathematische Annalen, vol. 16, pp. 317-374, 1896.

[[24] E. Arvas and L. Sevgi, “A tutorial on the method of moments,” IEEE Antennas Propag. Mag., vol. 54, no. 3, pp. 260-275, June 2012.

[[25] G. Apaydin and L. Sevgi, “Method of moment (MoM) modeling for resonating structures: propagation inside a parallel plate waveguide,” Int. J. Appl. Comput. Electromagnet., vol. 27, no. 10, pp. 842-849, Oct. 2012.

[[26] M. A. Uslu, G. Apaydin, and L. Sevgi, “Double tip diffraction modeling: finite difference time domain vs. method of moments,” IEEE Trans. Antennas Propagat., AP-62, pp. 6337-6343, Dec. 2014.

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Published

2021-08-22

How to Cite

[1]
G. . Apaydin and L. . Sevgi, “A Novel Wedge Diffraction Modeling Using Method of Moments (MoM)”, ACES Journal, vol. 30, no. 10, pp. 1053–1058, Aug. 2021.

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