Electromagnetic Scattering by Multiple Perfectly Conducting Arbitrary Polygonal Cylinders

We analyze the scattering by multiple perfectly conducting cylinders with arbitrary polygonal cross-section. The proposed method is very efficient as few expansion functions are needed in a Galerkin scheme. This is achieved by means of the analytical regularization of the problem obtained by factorizing the correct edge singularity of the electromagnetic field. A particular attention has also been paid to the numerical computation of the integrals involved, and formulas for their accurate and quick evaluation are given.

[1]  G. Panariello,et al.  Analysis of the electromagnetic scattering by perfectly conducting convex polygonal cylinders , 2006, IEEE Transactions on Antennas and Propagation.

[2]  V. Chumachenko.  Domain-product technique solution for the problem of electromagnetic scattering from multiangular composite cylinders , 2003 .

[3]  K. K. Mei,et al.  Scattering by perfectly-conducting rectangular cylinders , 1963 .

[4]  S. R. Saunders,et al.  Rapid, uniform computation of multiple knife-edge diffraction , 1999 .

[5]  L. Correia.  A comparison of integral equations with unique solution in the resonance region for scattering by conducting bodies , 1993 .

[6]  K. Eswaran,et al.  On the solutions of a class of dual integral equations occurring in diffraction problems , 1990, Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences.

[7]  E. V. Jull,et al.  Antenna pattern scattering by rectangular cylinders , 2000 .

[8]  R. Harrington.  Boundary integral formulations for homogeneous material bodies , 1989 .

[9]  M. Andreasen,et al.  Scattering from parallel metallic cylinders with arbitrary cross sections , 1964 .

[10]  A. Michaeli.  A uniform GTD solution for the far-field scattering by polygonal cylinders and strips , 1987 .

[11]  Jian-Ming Jin,et al.  Conformal PML-FDTD schemes for electromagnetic field simulations: a dynamic stability study , 2001 .

[12]  K. Yashiro,et al.  Boundary element method for electromagnetic scattering from cylinders , 1985 .

[13]  Raj Mittra,et al.  Forward scattering from square cylinders in the resonance region with application to aperture blockage , 1976 .

[14]  Yehuda Leviatan,et al.  Analysis of electromagnetic scattering by cylinders with edges using a hybrid moment method , 1997 .

[15]  Irene A. Stegun,et al.  Handbook of Mathematical Functions. , 1966 .

[16]  Wu Ruey-Beei,et al.  Polarization dependence on electromagnetic scattering of perfectly conducting concave corners by magnetic field integral equations , 1989 .

[17]  K. Mei,et al.  Scattering of 2‐D conducting concave object by MoM matrix decomposition technique , 2000 .

[18]  M. Salazar-Palma,et al.  Hybrid method solution of scattering by conducting cylinders (TM case) , 1996 .

[19]  D. J. White,et al.  TE and TM Modes of Some Triangular Cross-Section Waveguides Using Superposition of Plane Waves (Short Paper) , 1986 .

[20]  A. Beck,et al.  The Theory of Electromagnetism , 1964 .

[21]  K. Iizuka,et al.  Surface currents on triangular and square metal cylinders , 1967 .

[22]  Rafael Pous,et al.  Measured equation of invariance: a new concept in field computations , 1994 .

[23]  Xiongwen Zhao,et al.  Multipath propagation study combining terrain diffraction and reflection , 2001 .

[24]  S. M. Kirkup,et al.  Solution of Helmholtz Equation in the Exterior Domain by Elementary Boundary Integral Methods , 1995 .

[26]  Matteo Albani.  A uniform double diffraction coefficient for a pair of wedges in arbitrary configuration , 2005 .

[27]  Fulvio Schettino,et al.  Analytically regularized evaluation of scattering by perfectly conducting cylinders , 2004 .

[28]  E. I. Veliev.  Numerical-analytical approach for the solution to the wave scattering by polygonal cylinders and flat strip structures , 1993 .

[29]  Alexander I. Nosich,et al.  The method of analytical regularization in wave-scattering and eigenvalue problems: foundations and review of solutions , 1999 .

[30]  High-frequency electromagnetic scattering of plane waves from double wedges , 1989 .

[31]  Juan M. Rius,et al.  Analysis of electrically large concave scatterers with the integral equation mei , 1997 .