Parallelized Hybrid Method With Higher-Order MoM and PO for Analysis of Phased Array Antennas on Electrically Large Platforms

An efficient parallel hybrid solver consisting of the method of moments (MoM) with higher-order basis functions (HOBs) and physical optics (PO) is proposed for the analysis of complicated phased array antennas on electrically very large platforms. The higher-order MoM is hybridized with PO by iterating the MoM voltage matrix. The block-partitioned scheme for the large dense MoM matrix combined with the process-cyclic scheme for the PO discretized triangles is designed based on message passing interface (MPI). The parallel method is able to achieve excellent load balance and high parallel efficiency, and provides a solution with reasonable accuracy for solution of large on-board antenna problems. Numerical examples are presented to demonstrate that the proposed method can efficiently handle challenging realistic problems with a maximum dimension greater than 1000 wavelengths.

[1]  Y. Saad,et al.  GMRES: a generalized minimal residual algorithm for solving nonsymmetric linear systems , 1986 .

[2]  Yu Zhang,et al.  Parallel in-core and out-of-core solution of electrically large problems using the RWG basis functions , 2008, IEEE Antennas and Propagation Magazine.

[3]  Roberto D. Graglia,et al.  Higher order interpolatory vector bases for computational electromagnetics," Special Issue on "Advanced Numerical Techniques in Electromagnetics , 1997 .

[4]  Yong Zhou,et al.  ON THE MULTIPLATEN Z-BUFFER ALGORITHM FOR RAY TRACING IN HIGH-FREQUENCY ELECTROMAGNETIC SCATTERING COMPUTATIONS , 2004 .

[5]  Sadasiva M. Rao,et al.  Electromagnetic scattering from arbitrary shaped conducting bodies coated with lossy materials of arbitrary thickness , 1991 .

[6]  Snorre H. Christiansen,et al.  A dual finite element complex on the barycentric refinement , 2005, Math. Comput..

[7]  T. Sarkar,et al.  Solving large complex problems using a higher-order basis: parallel in-core and out-of-core integral-equation solvers , 2008, IEEE Antennas and Propagation Magazine.

[8]  Francesco P. Andriulli,et al.  A Calderón Multiplicative Preconditioner for the PMCHWT integral equation , 2009, 2009 IEEE Antennas and Propagation Society International Symposium.

[9]  Xunwang Zhao,et al.  An Efficient MPI Virtual Topology Based Parallel, Iterative MoM-PO Hybrid Method on PC Clusters , 2006 .

[10]  Jack J. Dongarra,et al.  ScaLAPACK Tutorial , 1996, PARA.

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

[12]  Jian-Ming Jin,et al.  A higher order multilevel fast multipole algorithm for scattering from mixed conducting/dielectric bodies , 2003 .

[13]  Miguel Ferrando Bataller,et al.  GRECO: graphical electromagnetic computing for RCS prediction in real time , 1993 .

[14]  M. Djordjevic,et al.  Higher order hybrid method of moments-physical optics modeling technique for radiation and scattering from large perfectly conducting surfaces , 2005, IEEE Transactions on Antennas and Propagation.

[15]  C. J. Reddy,et al.  Iterative Physical Optics for Radar Scattering Predictions , 2009 .

[16]  Johan Edlund,et al.  A parallel, iterative method of moments and physical optics hybrid solver for arbitrary surfaces , 2001 .

[17]  E. Michielssen,et al.  Time Domain CalderÓn Identities and Their Application to the Integral Equation Analysis of Scattering by PEC Objects Part II: Stability , 2009, IEEE Transactions on Antennas and Propagation.

[18]  P. Yla-Oijala,et al.  Well-conditioned Muller formulation for electromagnetic scattering by dielectric objects , 2005, IEEE Transactions on Antennas and Propagation.

[19]  Robert A. van de Geijn,et al.  Parallel Solution of Integral Equation-Based EM Problems in the Frequency Domain , 2009 .

[20]  Jian-Ming Jin,et al.  A Comparative Study of Calderón Preconditioners for PMCHWT Equations , 2010, IEEE Transactions on Antennas and Propagation.

[21]  Snorre H. Christiansen,et al.  A Preconditioner for the Electric Field Integral Equation Based on Calderon Formulas , 2002, SIAM J. Numer. Anal..

[22]  N. Champagne,et al.  A numerical implementation of a modified form of the electric field Integral equation , 2004, IEEE Transactions on Antennas and Propagation.

[23]  Francesco P. Andriulli,et al.  Improving the MFIE's accuracy by using a mixed discretization , 2009, 2009 IEEE Antennas and Propagation Society International Symposium.

[24]  D. R. Fokkema,et al.  BICGSTAB( L ) FOR LINEAR EQUATIONS INVOLVING UNSYMMETRIC MATRICES WITH COMPLEX , 1993 .

[25]  J. Sarvas,et al.  Broadband Müller-MLFMA for Electromagnetic Scattering by Dielectric Objects , 2007, IEEE Transactions on Antennas and Propagation.

[26]  Jian-Ming Jin,et al.  EFIE Analysis of Low-Frequency Problems With Loop-Star Decomposition and Calderón Multiplicative Preconditioner , 2010, IEEE Transactions on Antennas and Propagation.

[27]  Yu Zhang,et al.  Analysis of a Traveling-Wave Waveguide Array With Narrow-Wall Slots Using Higher Order Basis Functions in Method of Moments , 2009, IEEE Antennas and Wireless Propagation Letters.

[28]  E. Michielssen,et al.  Time Domain CalderÓn Identities and Their Application to the Integral Equation Analysis of Scattering by PEC Objects Part I: Preconditioning , 2009, IEEE Transactions on Antennas and Propagation.

[29]  R. Hodges,et al.  An iterative current-based hybrid method for complex structures , 1997 .

[30]  A. Buffa,et al.  A multiplicative Calderón preconditioner for the electric field integral equation , 2008, 2008 IEEE Antennas and Propagation Society International Symposium.

[31]  Chang-Hong Liang,et al.  Analysis of Antenna Around NURBS Surface With Hybrid MoM-PO Technique , 2007, IEEE Transactions on Antennas and Propagation.