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2008-05-07
Characteristic Basis Function Method for Iteration-Free Solution of Large Method of Moments Problems
By
Progress In Electromagnetics Research B, Vol. 6, 307-336, 2008
Abstract
Citation
Raj Mittra, and Kai Du, "Characteristic Basis Function Method for Iteration-Free Solution of Large Method of Moments Problems," Progress In Electromagnetics Research B, Vol. 6, 307-336, 2008.
doi:10.2528/PIERB08031206
References

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11. Yeo, J., V. V. S. Prakash, and R. Mittra, "Efficient analysis of a class of microstrip antennas using the Characteristic Basis Function Method (CBFM)," Microwave and Optical Technology Letters, Vol. 39, No. 6, 456-464, Dec. 2003.
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13. Catedra, F., R. Mittra, et al. "Accurate representation of the edge behavior of current when using PO-derived characteristic basis functions," Antennas and Wireless Propagation Letters, Manuscript# AWPL 0307, 2007.

14. Garcia, E., C. Delgado, F. S. De Adana, and R. Mittra, "Development of an efficient rigorous technique based on the combination of CBFM and MLFMA to solve very large electromagnetic problems," Electromagnetics in Advanced Applications, ICEAA, 579-582, Sept. 17-21 2007.

15. Maaskant, R., R. Mittra, and A. G. Tijhuis, "Fast solution of large-scale antenna problems using the Characteristic Basis Function Method and the adaptive cross approximation algorithm," IEEE Transactions on Antenna and Propagation, submitted.

16. Laviada, J., M. R. Pino, F. Las-Heras, and R. Mittra, "Mitigation of the truncation problem in the Characteristic Basis Function Method via a novel cell-stretching approach," IEEE Antennas and Propagation and URSI Meeting, to appear San Diego, CA, July 5-8 2008.

17. Laviada, J., M. R. Pino, F. Las-Heras, and R. Mittra, "Efficient calculation of the reduced matrix in the Characteristic Basis Functions Method," IEEE Antennas and Propagation and URSI Meeting, to appear San Diego, CA, July 5-8 2008.

18. Delgado, C., E. Garcıa, F. Catedra, and R. Mittra, "Hierarchical scheme for the application of the Characteristic Basis Function Method based on a multilevel approach," IEEE Antennas and Propagation and URSI Meeting, to appear San Diego, CA, July 5-8 2008.

19. Tiberi, G., E. Lucente, A. Monorchio, G. Manara, and R. Mittra, "A characteristic Basis Function Method (CBFM) for analyzing the EM scattering by large structures having slots," IEEE Antennas and Propagation and URSI Meeting, to appear San Diego, CA, July 5-8 2008.

20. Ozgun, O., R. Mittra, M. Kuzuoglu, and , "Characteristic Basis Finite Element Method (CBFEM) --- A non-iterative domain decomposition finite element algorithm for solving electromagnetic scattering problems," IEEE Antennas and Propagation and URSI Meeting, to appear, July 5-8 2008.

21. Farahat, N., R. Mittra, and N. Huang, "Modeling large phased array antennas using the finite difference time domain method and the characteristic basis function approach," Applied Computational Electromagnetics Society Journal, Special Issue on Phased and Adaptive Array Antennas, Vol. 21, No. 3, 218-225, November 2006.

22. Mittra, R., H. E. Abd-El-Raouf, and N. Huang, "A serial-parallel FDTD approachfor modeling the coupling problem between two large arrays," Applied Computational Electromagnetics Society Journal, Special Issue on Phased and Adaptive Array Antennas, Vol. 21, No. 3, 267-275, November 2006.

23. Kuzuoglu, M. and R. Mittra, "Fast solution of electromagnetic boundary value problems by the characteristic basis functions/FEM approach," IEEE Antennas & Propagation Society International Symposium/URSI, 1071-1075, Columbus, Ohio, June 2003.

24. Yeo, J. and R. Mittra, "Numerically efficient analysis of microstrip antennas using the Characteristic Basis Function Method (CBFM)," IEEE Antennas & Propagation Society International Symposium/URSI, Vol. 4, 85-88, Columbus, Ohio, June 2003.

25. Mittra, R. and V. V. S. Prakash, "The Characteristic Basis Function Method (CBFM) --- An alternative to FMM for a class of antenna and scattering problems," IEEE Antennas & Propagation Society International Symposium/URSI, Columbus, Ohio, June 2003.

26. Prakash, V. V. S., "RCS computation over a frequency band using the characteristic basis and model order reduction method," IEEE Antennas & Propagation Society International Symposium/URSI, Columbus, Ohio, June 2003.

27. Prakash, V. V. S. and R. Mittra, "Fast computation of radar cross section for multiple incident angles by using Characteristic Basis Functions (CBFs)," IEEE Antennas & Propagation Society International Symposium/URSI, Columbus, Ohio, June 2003.

28. Su, T., L. C. Ma, N. Farahat, and R. Mittra, "Modeling of a large slotted waveguide phased array using the FDTD and Characteristic Basis Function (CBF) approaches," IEEE Antennas & Propagation Society International Symposium/URSI, Columbus, Ohio, June 2003.

29. Tiberi, G., A. Monorchio, G. Manara, and R. Mittra, "Hybridizing asymptotic and numerically rigorous techniques for solving electromagnetic scattering problems using the Characteristics Basis Functions (CBFs)," IEEE Antennas & Propagation Society International Symposium/URSI, Columbus, Ohio, June 2003.

30. Mittra, R., "Solution of large array and radome problems using the characteristic basis function approach," IEEE Antennas & Propagation Society International Symposium/URSI, Columbus, Ohio, June 2003.

31. Sun, Y., C. H. Chan, R. Mittra, and L. Tsang, "Characteristic Basis Function Method for solving large problems arising in dense medium scattering," IEEE Antennas & Propagation Society International Symposium/URSI, Vol. 2, 1068-1071, Columbus, Ohio, June 2003.

32. Mittra, R., J. Yeo, and V. V. S. Prakash, "Efficient generation of Method of Moments matrices using the characteristic function method," IEEE Antennas & Propagation Society International Symposium/URSI, Vol. 2, 1068-1071, Columbus, Ohio, June 2003.

33. Mittra, R., "A proposed new paradigm for solving scattering problems involving electrically large objects using the Characteristic Basis Functions Method," Proceedings of the International Conference on Electromagnetics in Advanced Applications (ICEAA), 621-624, Turin, Italy, September 2003.

34. Chan, K. F., K. W. Lam, C. H. Chan, and R. Mittra, "Modeling of microstrip reflectarrays using the characteristic basis function approach," 2004 International Symposium on Electromagnetic Theory (URSI-EMT’04), May 23-27 Pisa, Italy, 2004.

35. Tiberi, G., S. Rosace, A. Monorchio, G. Manara, and R. Mittra, "Electromagnetic scattering from large faceted conducting bodies by using analytically derived characteristic basis functions," IEEE Antennas and Wireless Propagation Letters, Vol. 2, 290-293, 2004.

36. Mittra, R., T. Zhao, J. Yeo, and S. Koksoy, "Solution of large radiation and scattering problems without iteration using the Fast Matrix Solver (FMS) and the Characteristic Basis Function Method (CBFM)," 2004 IEEE-AP-S International Symposium and USNC/URSI National Radio Science Meeting, 33, APS/URSI 2004 Contents Monterey, CA, June 19-25 2004.

37. Mittra, R. and V. V. S. Prakash, "The Characteristic Basis Function Method: A new technique for fast solution of radar scattering problem," Special Issue on CEM of Computer Modeling in Engineering & Sciences, Vol. 5, No. 5, 435-442, 2004.

38. Ma, J. F. and R. Mittra, "Analysis of scattering characteristics of electrically large objects using a CBFM-based procedure," 2005 IEEE International Symposium on Antennas and Propagation and USNC/URSI National Radio Science Meeting (AP-S’05), Vol. 3A, 105-108, Washington DC, July 3-8 2005.

39. Farahat, N., R. Mittra, and N. T. Huang, "Modeling large phased array antennas using the finite difference time domain method and the characteristic basis function approach," The ACES 2006 Conference, Miami, Florida, March 12-16 2006.

40. Delgado, C., R. Mittra, and F. Catedra, "Analysis of fast numerical techniques applied to the Characteristic Basis Function Method," The IEEE AP-S International Symposium USNC/URSI National Radio Science Meeting, 4031-4034, Albuquerque, New Mexico, July 9-14 2006.

41. Lucente, E., A. Monorchio, and R. Mittra, "Generation of characteristic basis functions by using sparse MoM impedance matrix for large scattering and radiation problems," IEEE AP-S International Symposium USNC/URSI National Radio Science Meeting, Albuquerque, New Mexico, July 9-14 2006.
doi:10.1109/TAP.2006.880706

42. Tiberi, G., A. Monorchio, G. Manara, and R. Mittra, "A spectral domain integral equation method utilizing analytically derived characteristic basis functions for the scattering from large faceted objects," IEEE Transactions on Antennas and Propagation, Vol. 54, No. 9, 2508-2514, September 2006.

43. Lucente, E., A. Monorchio, and R. Mittra, "Generation of characteristic basis functions by using sparse MoM impedance matrix to construct the solution of large scattering and radiation problems," IEEE AP-S International Symposium USNC/URSI National Radio Science Meeting, 4091-4094, Albuquerque, New Mexico, July 9-14 2006.
doi:10.1093/ietele/e90-c.2.231

44. Tiberi, G., A. Monorchio, M. Degiorgi, G. Manara, and R. Mittra, "An efficient method to calculate the convolution based reaction integral using the analytical fourier transform," IEICE Transactions on Electronics, Vol. E90-C, No. 2, 231-234, February 2007.
doi:10.1093/ietele/e90-c.2.252

45. Tiberi, G., A. Monorchio, G. Manara, and R. Mittra, "A numerical solution for electomagnetic scattering from large faceted conducting bodies by using physical optics-SVD derived bases," IEICE Transactions on Electronics, Vol. E90-C, No. 2, 252-257, February 2007.

46. Lucente, E., A. Monorchio, and R. Mittra, "Fast and efficient RCS computation over a wide frequency band using the Universal Characteristic Basis Functions (UCBFs)," IEEE International Symposium on Antennas and Propagation, Honolulu, Hawaii, June 10-14 2007.

47. Delgado, C., F. Catedra, and R. Mittra, "A numerically efficient technique for orthogonalizing the basis functions arising in the solution of electromagnetic scattering problems using the CBFM," IEEE International Symposium on Antennas and Propagation, Honolulu, Hawaii, June 10-14 2007.

48. Garcia, E., C. Delgado, F. S. De Adana, F. Catedra, and R. Mittra, "Incorporating the multilevel fast multipole method into the Characteristic Basis Function Method to solve large scattering and radiation problems," IEEE International Symposium on Antennas and Propagation, Honolulu, Hawaii, June 10-14 2007.
doi:10.1109/ICEAA.2007.4387363

49. Maaskant, R., R. Mittra, and A. G. Tijhuis, "Application of trapezoidal-shaped characteristic basis functions to arrays of electrically interconnected antenna elements," Electromagnetics in Advanced Applications, ICEAA, 567-571, September 17-21 2007.

50. Yagbasan, A., C. A. Tunc, V. B. Erturk, A. Altintas, and R. Mittra, "Use of Characteristic Basis Function Method for scattering from terrain profiles," ELEKTRIK, to appear.

51. Mittra, R., H. Abdel-Raouf, and N. T. Huang, "CBFDTD --- A new extension of the FDTD algorithm for solving large radiation, scattering and EMI/EMC problems," International Conference on Electromagnetics in Advanced Applications and European Electromagnetic Structures Conference, ICEAA’05, Torino, Italy, September 12-16 2005.
doi:10.1109/TAP.2008.919166

52. Lucente, E., A. Monorchio, and R. Mittra, "An iteration-free MoM approachbased on excitation independent characteristic basis functions for solving large multiscale electromagnetic scattering problems," IEEE Transactions on Antennas and Propagation, Vol. 56, No. 4, 999-1007, April 2008.