Benchmarking high-performance computing platforms in analyzing electrically large planar conducting structures via a parallel computed method of moments technique

The analysis of electrically large planar conducting structures is examined by employing parallel computations of an integral equation technique in conjunction with a method of moments. The integral equation, in terms of the induced conductivity currents, is solved using an entire domain Galerkin technique, with Chebyshev-type basis fonctions. The resulting algorithm parallelization enables extension of the proposed methodology above the resonance region. Numerical results are computed for several scatterer sizes and excitations source types on varying high-performance computing platforms: Silicon Graphics Power Challenge, Intel Paragon XP/S, CRAY C-90, and CRAY T3D. A comparison is made among these diverse computing platforms for their applicability-suitability in solving electromagnetic problems in the domain of electrically large planar scattering structures. Their suitability is not only judged on performance obtained but also on ease of code portation.

[1]  P. M. Berg,et al.  The conjugate gradient spectral iterative technique for planar structures , 1988 .

[2]  D. Kaklamani,et al.  Solution of electrically large planar scattering problems using parallel computed method of moments technique , 1995 .

[3]  L. Nuno,et al.  A scheme to analyze conducting plates of resonant size using the conjugate-gradient method and the fast Fourier transform , 1988 .

[4]  P. M. van den Berg,et al.  A weak form of the conjugate gradient FFT method for plate problems , 1991 .

[5]  Raymond J. Luebbers,et al.  Scattering from apertures in infinite ground planes using FDTD , 1994 .

[6]  A. McCowen,et al.  An improved pulse-basis conjugate gradient FFT method for the thin conducting plate problem , 1993 .

[7]  Daniël De Zutter,et al.  Comparison between two sets of basis functions for the current modeling in the Galerkin spectral domain solution for microstrips , 1994 .

[8]  K. Mahadevan,et al.  Scattering from a thin perfectly-conducting square plate , 1992, IEEE Antennas and Propagation Magazine.

[9]  D. Wilton,et al.  Electromagnetic scattering by surfaces of arbitrary shape , 1980 .

[10]  M. I. Aksun,et al.  Choices of expansion and testing functions for the method of moments applied to a class of electromagnetic problems , 1993 .

[11]  John L. Volakis,et al.  Application of a conjugate gradient FFT method to scattering from thin planar material plates , 1988 .

[12]  R. Mittra,et al.  Iterative Approaches to the Solution of Electromagnetic Boundary Value Problems , 1985 .

[13]  Raphael Kastner,et al.  A concise conjugate gradient computation of plate problems with many excitations , 1990 .

[14]  T. Andersson.  Moment-Method Calculations of Scattering by a Square Plate Using Singular Basis Functions and Multipole Expansions , 1993 .

[15]  Ali El-Hajj,et al.  Characteristic modes of a rectangular aperture in a perfectly conducting plane , 1994 .

[16]  T. Sarkar,et al.  On the choice of expansion and weighting functions in the numerical solution of operator equations , 1985 .

[17]  Raj Mittra,et al.  Electromagnetic coupling through small apertures in a conducting screen , 1977 .

[18]  Nicolaos G. Alexopoulos,et al.  Basic Properties of Microstrip Circuit Elements on Nonreciprocal Substrate-Superstrate Structures , 1991 .

[19]  Raj Mittra,et al.  Electromagnetic penetration through apertures in conducting surfaces , 1978 .

[20]  Wan Lixi.  The tolerance method for electromagnetic scattering , 1994 .

[21]  S. Savov.  Mutual coupling between two small circular apertures in a conducting screen , 1993 .

[22]  Tapan K. Sarkar,et al.  Electromagnetic scattering and radiation from finite microstrip structures , 1990 .

[23]  K. Demarest,et al.  A multilevel formulation of the method of moments (EM scattering) , 1993 .

[24]  P. Soudais.  Iterative solution of a 3-D scattering problem from arbitrary shaped multidielectric and multiconducting bodies , 1994 .

[25]  Dimitra I. Kaklamani,et al.  Solution of large electromagnetic problems made feasible by HPC-Reducing execution times from months to hours , 1995, HPCN Europe.

[26]  L. Medgyesi-Mitschang,et al.  Mixed-domain Galerkin expansions in scattering problems , 1988 .

[27]  R. Mittra,et al.  A conjugate gradient algorithm for the treatment of multiple incident electromagnetic fields , 1989 .

[28]  E. Alanen.  Pyramidal and Entire Domain Basis Functions in the Method of Moments , 1991 .

[29]  D.B. Davidson,et al.  A parallel processing tutorial , 1990, IEEE Antennas and Propagation Magazine.

[30]  Tapan K. Sarkar,et al.  Application of the Fast Fourier Transform and the Conjugate Gradient Method for Efficient Solution of Electromagnetic Scattering from Both Electrically Large and Small Conducting Bodies , 1985 .

[31]  N. Uzunoglu,et al.  Scattering from a conductive rectangular plate covered by a thick dielectric layer and excited from a dipole source or a plane wave , 1994 .