Fully Coupled Hybrid FEM-UTD Method Using NURBS for the Analysis of Radiation Problems

A novel hybrid finite element method (FEM) -uniform theory of diffraction (UTD) method for the analysis of radiating structures in the presence of electrically large objects is presented. The hybridization is done in a fully coupled way taking into account mutual interactions between the FEM and UTD regions. The UTD objects are modeled using non-uniform rational B-spline (NURBS) surfaces. Ray acceleration techniques and simple clustering strategies are used to speed up the computation time. Numerical results are presented showing the validity of the method.

[1]  A. Tzoulis,et al.  A hybrid FEBI-MLFMM-UTD method for numerical solutions of electromagnetic problems including arbitrarily shaped and electrically large objects , 2005, IEEE Transactions on Antennas and Propagation.

[2]  Jian-Ming Jin,et al.  A hybrid FEM/SBR method to compute scattering by large bodies with small protruding scatterers , 1997 .

[3]  M. Salazar-Palma,et al.  A Novel Hybrid FEM High-frequency Technique For The Analysis of Scattering and Radiation Problems , 2004 .

[4]  Jianming Jin,et al.  A novel hybridization of higher order finite element and boundary integral methods for electromagnetic scattering and radiation problems , 2001 .

[5]  N. K. Budraa,et al.  High frequency electromagnetic techniques: a new tool for electronic packaging , 2001 .

[6]  Barry F. Smith,et al.  Domain Decomposition: Parallel Multilevel Methods for Elliptic Partial Differential Equations , 1996 .

[7]  Roger F. Harrington,et al.  Field computation by moment methods , 1968 .

[8]  K. Sertel,et al.  A hybrid MoM-UTD analysis of the coupling between large multiple arrays on a large platform , 2005, 2005 IEEE Antennas and Propagation Society International Symposium.

[9]  Tapan K. Sarkar,et al.  A hybrid method for terminating the finite‐element mesh (electrostatic case) , 1995 .

[10]  Tapan K. Sarkar,et al.  Fully coupled hybrid‐method FEM/high‐frequency technique for the analysis of 3D scattering and radiation problems , 2005 .

[11]  Tapan K. Sarkar,et al.  Iterative and Self-Adaptive Finite-Elements in Electromagnetic Modeling , 1998 .

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

[13]  J. Volakis,et al.  Hybrid PO-MoM analysis of large axi-symmetric radomes , 2001 .

[14]  M. Salazar-Palma,et al.  Second-order Ndlec tetrahedral element for computational electromagnetics , 2000 .

[15]  John L. Volakis,et al.  A hybridization of finite-element and high-frequency methods for pattern prediction for antennas on aircraft structures , 1996 .

[16]  Jian-Ming Jin,et al.  A highly effective preconditioner for solving the finite element-boundary integral matrix equation of 3-D scattering , 2002 .

[17]  Jian-Ming Jin,et al.  The Finite Element Method in Electromagnetics , 1993 .

[18]  M. D. Deshpande,et al.  Radiation characteristics of cavity backed aperture antennas in finite ground plane using the hybrid FEM/MoM technique and geometrical theory of diffraction , 1996 .

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

[20]  R. Coifman,et al.  The fast multipole method for the wave equation: a pedestrian prescription , 1993, IEEE Antennas and Propagation Magazine.

[21]  Finite-element solution to electromagnetic scattering problems by means of the Robin boundary condition iteration method , 2002 .

[22]  R. Fernandez-Recio,et al.  Convergence Study of a Non-Standard Schwarz Domain Decomposition Method for Finite Element Mesh Truncation in Electromagnetics , 2007, 2007 International Conference on Electromagnetics in Advanced Applications.

[23]  M. Vouvakis,et al.  The adaptive cross approximation algorithm for accelerated method of moments computations of EMC problems , 2005, IEEE Transactions on Electromagnetic Compatibility.

[24]  E. Jorgensen,et al.  A hybrid PO-higher-order hierarchical MoM formulation using curvilinear geometry modeling , 2003, IEEE Antennas and Propagation Society International Symposium. Digest. Held in conjunction with: USNC/CNC/URSI North American Radio Sci. Meeting (Cat. No.03CH37450).

[25]  Constantine A. Balanis,et al.  FEM-based hybrid methods for the analysis of antennas on electrically large structures , 2000, RAWCON 2000. 2000 IEEE Radio and Wireless Conference (Cat. No.00EX404).

[26]  Olga M. Conde,et al.  Analysis of antennas on board arbitrary structures modeled by NURBS surfaces , 1997 .

[27]  T. Eibert,et al.  Hybrid/sup 2/: combining the three-dimensional hybrid finite element-boundary integral technique for planar multilayered media with the uniform geometrical theory of diffraction , 2002 .

[28]  Salvatore Coco,et al.  Convergence analysis of the charge iteration procedure for unbounded electrical fields , 1994 .

[30]  FEM/PO-PTD for evaluation of scattering by complex objects , 2004, IEEE Antennas and Propagation Society Symposium, 2004..

[31]  Gerald Farin,et al.  Curves and surfaces for computer aided geometric design , 1990 .

[32]  S. Safavi-Naeini,et al.  An FDTD/ray-tracing analysis method for wave penetration through inhomogeneous walls , 2002 .

[33]  M. Salazar-Palma,et al.  A finite element method for the analysis of radiation and scattering of electromagnetic waves on complex environments , 2005 .

[34]  Jianming Jin,et al.  A hybrid SBR/MoM technique for analysis of scattering from small protrusions on a large conducting body , 1998 .

[35]  N. Lu,et al.  Application of adaptive absorbing boundary condition to finite element solution of three-dimensional scattering , 1996 .

[36]  R. Kouyoumjian,et al.  A uniform geometrical theory of diffraction for an edge in a perfectly conducting surface , 1974 .

[37]  G. Borzì,et al.  FEM analysis of unbounded electromagnetic scattering by the Robin iteration procedure , 1996 .

[38]  Jian-Ming Jin,et al.  HYBRID FEM/SBR METHOD TO COMPUTE THE RADIATION PATTERN FROM A MICROSTRIP PATCH ANTENNA IN A COMPLEX GEOMETRY , 1996 .

[39]  Robert J. Lee,et al.  The application of FDTD in hybrid methods for cavity scattering analysis , 1995 .

[40]  Henri Baudrand,et al.  Boundary conditions for finite element analysis combined with geometrical theory of diffraction , 1995 .

[41]  W.C. Chew,et al.  A hybrid SBR/MoM technique for analysis of scattering from small protrusions on a large conducting body , 1998, IEEE Antennas and Propagation Society International Symposium. 1998 Digest. Antennas: Gateways to the Global Network. Held in conjunction with: USNC/URSI National Radio Science Meeting (Cat. No.98CH36.

[42]  Jian-Ming Jin,et al.  Hybridization of SBR and FEM for scattering by large bodies with cracks and cavities , 1995 .

[43]  V. Hansen,et al.  A hybrid method combining the multitemporal resolution time-domain method of moments with the time-domain geometrical theory of diffraction for thin-wire antenna problems , 2006, IEEE Transactions on Antennas and Propagation.