The Application of Higher-Order Basis Functions with Phase Description for Electromagnetic Simulation of Arbitrary Structures

References

• Andersen , L. S. and Volakis , J. L. 1999 . Development and application of a novel class of hierarchical tangential vector finite elements for electromagnetic . IEEE Trans. Antennas Propagat. , 47 : 112 – 120 .
   Web of Science ®Google Scholar
• Donepudi , K. C. , Gang , K. , Song , J. M. and Chew , W. C. 1999 . Higher-order MoM implementation to solve integral equations . Antennas Propagat. Soc. Int. Symp. , 3 : 1716 – 1719 .
   Google Scholar
• Engheta , N. , Murphy , W. D. and Rokhlin , V. 1992 . The fast multipole method (FMM) for electromagnetic scattering problems . IEEE Trans. Antennas Propagat. , 40 : 634 – 641 .
   Web of Science ®Google Scholar
• Graglia , R. D. , Peterson , A. F. and Andreulli , F. P. 2009 . Hierarchical polynomials and vector elements for finite methods . Electromagnetics in Advanced Applications , : 1086 – 1089 .
   Google Scholar
• Graglia , R. D. , Peterson , A. F. and Andreulli , F. P. 2011 . Curl-conforming hierarchical vector bases for triangles and tetrahedral . IEEE Trans. Antennas Propagat. , 5 : 950 – 959 .
   Web of Science ®Google Scholar
• Jørgensen , E. , Volakis , J. L. , Meincke , P. and Breinbjerg , O. 2004 . Higher order hierarchical legendre basis functions for electromagnetic modeling . IEEE Trans. Antennas Propagat. , 52 : 2985 – 2995 .
   Web of Science ®Google Scholar
• Nie , Z. , Ma , W. , Ren , Y. , Zhao , Y. , Hu , J. and Zhao , Z. A. 2009 . Wideband electromagnetic scattering analysis using MLFMA with higher order hierarchical vector basis functions . IEEE Trans. Antennas Propagat. , 57 : 3169 – 3178 .
   Web of Science ®Google Scholar
• Nie , Z. , Yan , S. , He , S. and Hu , J. 2008 . On the basis functions with traveling wave phase factor for efficient analysis of scattering from electrically large targets . Progr. Electromagn. Res. , 85 : 83 – 114 .
   Web of Science ®Google Scholar
• Peterson , A. F. and Graglia , R. D. 2010 . Scale factors and matrix conditioning associated with triangular-cell hierarchical vector basis functions . IEEE Antennas Wireless Propagat. Lett. , 9 : 40 – 43 .
   Web of Science ®Google Scholar
• Ren , S. , Nie , Z. , He , S. and Hu , J. 2012 . Efficient analysis of electromagnetic scattering from electrically large complex objects by using phase-extracted basis functions . IEEE Antennas Propagat. Mag. , 54 : 88 – 108 .
   Web of Science ®Google Scholar
• Song , J. and Chew , W. C. 1994 . Fast multipole method solution using parametric geometry . Microw. Optical Technol. Lett. , 7 : 760 – 765 .
   Web of Science ®Google Scholar
• Song , J. and Chew , W. C. 1999 . Error analysis for the truncation of multipole expansion of vector Green's functions . IEEE Trans. Antennas Propagat. , 1 : 628 – 631 .
   Google Scholar
• Song , J. , Lu , C. and Whew , W. C. 1997 . Multilevel fast multipole algorithm for electromagnetic scattering by large complex objects . IEEE Trans. Antennas Propagat. , 45 : 1488 – 1493 .
   Web of Science ®Google Scholar
• Webb , J. P. 1999 . Hierarchal vector basis functions of arbitrary order for triangular and tetrahedral finite elements . IEEE Trans. Antennas Propagat. , 4 : 1244 – 1253 .
   Web of Science ®Google Scholar
• Yan , S. , He , S. , Nie , Z. and Hu , J. 2009 . Simulating wide band radar response from PEC targets using phase extracted basis functions . Progr. Electromagn. Res. , 13 : 409 – 431 .
   Google Scholar
• Yan , S. , Ren , S. , Nie , Z. , He , S. and Hu , J. 2013 . Modified phase-extracted basis functions for efficient analysis of scattering from electrically large targets . Proc. IEEE , 101 : 401 – 413 .
   Web of Science ®Google Scholar
• Yi , R. , Nie , Z. , Zhao , Y. and Ma , W. Higher order hierarchical vector basis functions based on the triangular patches . National Conference on Antenna (NCAnt2007) . Anhui , China. pp. 418 – 461 .
   Google Scholar