Vol. 13
Latest Volume
All Volumes
PIERM 126 [2024] PIERM 125 [2024] PIERM 124 [2024] PIERM 123 [2024] PIERM 122 [2023] PIERM 121 [2023] PIERM 120 [2023] PIERM 119 [2023] PIERM 118 [2023] PIERM 117 [2023] PIERM 116 [2023] PIERM 115 [2023] PIERM 114 [2022] PIERM 113 [2022] PIERM 112 [2022] PIERM 111 [2022] PIERM 110 [2022] PIERM 109 [2022] PIERM 108 [2022] PIERM 107 [2022] PIERM 106 [2021] PIERM 105 [2021] PIERM 104 [2021] PIERM 103 [2021] PIERM 102 [2021] PIERM 101 [2021] PIERM 100 [2021] PIERM 99 [2021] PIERM 98 [2020] PIERM 97 [2020] PIERM 96 [2020] PIERM 95 [2020] PIERM 94 [2020] PIERM 93 [2020] PIERM 92 [2020] PIERM 91 [2020] PIERM 90 [2020] PIERM 89 [2020] PIERM 88 [2020] PIERM 87 [2019] PIERM 86 [2019] PIERM 85 [2019] PIERM 84 [2019] PIERM 83 [2019] PIERM 82 [2019] PIERM 81 [2019] PIERM 80 [2019] PIERM 79 [2019] PIERM 78 [2019] PIERM 77 [2019] PIERM 76 [2018] PIERM 75 [2018] PIERM 74 [2018] PIERM 73 [2018] PIERM 72 [2018] PIERM 71 [2018] PIERM 70 [2018] PIERM 69 [2018] PIERM 68 [2018] PIERM 67 [2018] PIERM 66 [2018] PIERM 65 [2018] PIERM 64 [2018] PIERM 63 [2018] PIERM 62 [2017] PIERM 61 [2017] PIERM 60 [2017] PIERM 59 [2017] PIERM 58 [2017] PIERM 57 [2017] PIERM 56 [2017] PIERM 55 [2017] PIERM 54 [2017] PIERM 53 [2017] PIERM 52 [2016] PIERM 51 [2016] PIERM 50 [2016] PIERM 49 [2016] PIERM 48 [2016] PIERM 47 [2016] PIERM 46 [2016] PIERM 45 [2016] PIERM 44 [2015] PIERM 43 [2015] PIERM 42 [2015] PIERM 41 [2015] PIERM 40 [2014] PIERM 39 [2014] PIERM 38 [2014] PIERM 37 [2014] PIERM 36 [2014] PIERM 35 [2014] PIERM 34 [2014] PIERM 33 [2013] PIERM 32 [2013] PIERM 31 [2013] PIERM 30 [2013] PIERM 29 [2013] PIERM 28 [2013] PIERM 27 [2012] PIERM 26 [2012] PIERM 25 [2012] PIERM 24 [2012] PIERM 23 [2012] PIERM 22 [2012] PIERM 21 [2011] PIERM 20 [2011] PIERM 19 [2011] PIERM 18 [2011] PIERM 17 [2011] PIERM 16 [2011] PIERM 14 [2010] PIERM 13 [2010] PIERM 12 [2010] PIERM 11 [2010] PIERM 10 [2009] PIERM 9 [2009] PIERM 8 [2009] PIERM 7 [2009] PIERM 6 [2009] PIERM 5 [2008] PIERM 4 [2008] PIERM 3 [2008] PIERM 2 [2008] PIERM 1 [2008]
2010-07-14
Higher Order Hierarchical Legendre Basis Functions Application to the Analysis of Scattering by Uniaxial Anisotropic Objects
By
Progress In Electromagnetics Research M, Vol. 13, 133-143, 2010
Abstract
An efficient technique for the analysis of scattering by uniaxial anisotropic objects is presented. The technique is based on the method of higher order MoM of the surface integral equations. This higher order MoM solution uses the higher order hierarchical basis functions which are based on the modified Legendre polynomials. Numerical results are given to demonstrate that the higher order hierarchical basis functions are more accurate and efficient in the calculations of uniaxial anisotropic objects scattering problem than the low-order basis function.
Citation
Chaojie Lv, Yan Shi, and Chang-Hong Liang, "Higher Order Hierarchical Legendre Basis Functions Application to the Analysis of Scattering by Uniaxial Anisotropic Objects," Progress In Electromagnetics Research M, Vol. 13, 133-143, 2010.
doi:10.2528/PIERM10040509
References

1. Harrington, R. F., Field Computation by Moment Methods, Wiley-IEEE, New York, 1993.

2. Rao, S. M., D. R. Wilton, and A. W. Glisson, "Electromagnetic scattering by surfaces of arbitrary shape," IEEE Trans. Antennas Propag., Vol. 30, No. 3, 409-418, May 1982.
doi:10.1109/TAP.1982.1142818

3. Schaubert, D. H., D. R. Wilton, and A. W. Glisson, "A tetrahedral modeling method for electromagnetic scattering by arbitrarily shaped inhomogeneous dielectric bodies," IEEE Trans. Antennas Propag., Vol. 32, No. 1, 77-85, Jan. 1984.
doi:10.1109/TAP.1984.1143193

4. Song, J. M., C. C. Lu, and W. C. Chew, "Multilevel fast multipole algorithm for electromagnetic scattering by large complex objects," IEEE Trans. Antennas Propag., Vol. 45, No. 10, 1488-1493, Oct. 1997.
doi:10.1109/8.633855

5. Sertel, K. and J. L. Volakis, "Multilevel fast multipole method solution of volume integral equations using parametric geometry modeling," IEEE Trans. Antennas Propag., Vol. 52, No. 7, 1686-1692, Jul. 2004.
doi:10.1109/TAP.2004.831401

6. Bleszynski, E., M. Bleszynski, and T. Jaroszewicz, "AIM: Adaptive integral method for solving large-scale electromagnetic scattering and radiation problems ," Radio Science, Vol. 31, No. 5, 1225-1251, Sep.-Oct. 1996.
doi:10.1029/96RS02504

7. Zhang, Z. Q. and Q. H. Liu, "A volume adaptive integral method (VAIM) for 3-D inhomogeneous objects," IEEE Antennas Wireless Propag. Lett., Vol. 1, 102-105, 2002.
doi:10.1109/LAWP.2002.805126

8. Phillips, J. and J. White, "A precorrected-fft method for electrostatic analysis of complicated 3-d structures," IEEE Trans. Comput.-Aided Design Integr. Circuits Syst., Vol. 16, No. 10, 1059-1072, 1997.
doi:10.1109/43.662670

9. Nie, X. C., N. Yuan, L. W. Li, Y. B. Gan, and T. S. Yeo, "A fast volume-surface integral equation solver for scattering from composite conducting-dielectric objects," IEEE Trans. Antennas Propag., Vol. 53, No. 2, 818-824, Feb. 2005.
doi:10.1109/TAP.2004.841323

10. Jorgensen, E., J. L. Volakis, P. Meincke, and O. Breinbjerg, "Higher order hierarchical legendre basis functions for electromagnetic modeling," IEEE Trans. Antennas Propag., Vol. 52, 2985-2995, Nov. 2004.

11. Jorgensen, E., P. Meincke, and O. Breinbjerg, "A hybrid PO higher-order hierarchical MoM formulation using curvilinear geometry modeling," IEEE International Symposium on Antennas and Propagation, Columbus, OH, USA, Jun. 2003.

12. Jorgensen, E., O. Kim, P. Meincke, and O. Breinbjcrg, "Higher-order hierarchical discretizationscheme for surface integral equations for layered media," IEEE Trans. on Geoscience and Remote Sensing, Vol. 42, No. 4, 764-772, Apr. 2004.
doi:10.1109/TGRS.2003.819881

13. Kim, O. S., P. Meincke, O. Breinbjerg, and E. JΦrgensen, "Method of moments solution of volume integral equations using higher-order hierarchical Legendre basis functions," Radio Science, Vol. 39, 5003, 2004, 10.1029/2004RS003041.

14. Weiglhofer, W. S., "Dyadic green's functions for general uniaxial media," IEEE Proc. Microw. Antennas Propag., Vol. 137, No. 1, 5-10, Feb. 1990.
doi:10.1049/ip-h-2.1990.0002