Backscattering From a Soft–Hard Strip: Primary Edge Waves Approximations

High-frequency approximation is constructed for backscattering from a strip with one face soft and the other face hard (i.e., with Dirichlet and Neumann boundary conditions, respectively). This approximation is based on the solution of the canonical problem for a wedge with the same boundary conditions. Its exact solution belongs to Malyuzhinetz (Ann. Phys., vol. 6, no. 1-2, pp. 107-112, 1960). Here, we utilize its approximations presented in Ufimtsev's work (IEEE Antennas Propag. Mag., Dec. 2013) and derive simple asymptotics for backscattering. Only primary edge waves are taken into account. The influence of the secondary diffraction is estimated asymptotically to validate this approach. The results are compared to the physical optics (PO) and Physical Theory of Diffraction (PTD) approximations.

[1]  Giuliano Manara,et al.  Scattering by a strip with two face impedances at edge‐on incidence , 1982 .

[2]  T. Senior.  SOME PROBLEMS INVOLVING IMPERFECT HALF PLANES11This work was supported by the U.S. Air Force Office of Scientific Research under Grant 72-2262. , 1976 .

[3]  Ali Alkumru,et al.  Multiple diffraction of plane waves by a soft/hard strip , 1995 .

[4]  J. Volakis,et al.  Approximate boundary conditions in electromagnetics , 1995 .

[5]  A. Sommerfeld.  Mathematische Theorie der Diffraction , 1896 .

[6]  G. D. Malyughinetz.  Das Sommerfeldsche Integral und die Lösung von Beugungsaufgaben in Winkelgebieten , 1960 .

[7]  John L. Volakis,et al.  High‐frequency scattering by a resistive strip and extensions to conductive and impedance strips , 1987 .

[8]  Y. Umul.  Physical optics theory for the scattering of waves by an impedance strip , 2011 .

[9]  Pyotr Yakovlevich Ufimtsev.  Theory of Edge Diffraction in Electromagnetics: Origination and validation of the physical theory of diffraction , 2009 .

[10]  G. Franceschetti,et al.  Electromagnetic scattering by a half plane with two face impedances , 1976 .

[11]  E. I. Veliev,et al.  Scattering by a strip with two different surface impedances , 1999, 1999 International Symposium on Electromagnetic Compatibility (IEEE Cat. No.99EX147).

[12]  Y. Umul.  Physical Optics Scattering of Waves by a Half-Plane With Different Face Impedances , 2011, IEEE Antennas and Wireless Propagation Letters.

[13]  P. Ufimtsev.  Fundamentals of the Physical Theory of Diffraction , 2007 .

[14]  K. Schwarzschild,et al.  Die Beugung und Polarisation des Lichts durch einen Spalt. I , 1901 .

[15]  Hiroshi Shirai,et al.  Wavefront and resonance analysis of scattering by a perfectly conducting flat strip , 1986 .

[16]  Pyotr Ya Ufimtsev.  Diffraction at a Wedge with One Face Electric and the Other Face Magnetic: Exact and Asymptotic Solutions of the Wave and Parabolic Equations , 2013, IEEE Antennas and Propagation Magazine.