Analysis of scattering by large objects with off-diagonally anisotropic material using finite element-boundary integral-multilevel fast multipole algorithm

The scattering by large anisotropic objects is computed using the hybrid finite element-boundary integral-multilevel fast multipole algorithm (FE-BI-MLFMA). The validity of FE-BI-MLFMA for objects with off-diagonally anisotropic material is convincingly verified by comparing numerical results with analytical values. The numerical performance of the FE-BI-MLFMA is in detail investigated for anisotropic objects. It is shown that the numerical performance of the FE-BI-MLFMA is much worse for off-diagonally anisotropic objects than that for isotropic and uniaxially anisotropic objects. A node-edge element is employed for improving the efficiency of the FE-BI-MLFMA for anisotropic objects. The scattering characteristics by different large anisotropic objects are analysed by the FE-BI-MLFMA. Numerical results demonstrate that the anisotropic materials, especially off-diagonally anisotropic materials, can significantly change the radar cross section (RCS) pattern by complicated mechanisms, which depend on the structure of objects.

[1]  Electromagnetic scattering by an inhomogeneous plasma anisotropic sphere of multilayers , 2005 .

[2]  Xin-Qing Sheng,et al.  Implementation and experiments of a hybrid algorithm of the MLFMA-enhanced FE-BI method for open-region inhomogeneous electromagnetic problems , 2002 .

[3]  Kin‐Lu Wong,et al.  Electromagnetic scattering by a uniaxially anisotropic sphere , 1992 .

[4]  R. Wu,et al.  Variational reaction formulation of scattering problem for anisotropic dielectric cylinders , 1986 .

[5]  Jin-Fa Lee,et al.  Hierarchical vector finite elements for analyzing waveguiding structures , 2003 .

[6]  Christian Soize,et al.  Hybrid numerical method for harmonic 3-D Maxwell equations: scattering by a mixed conducting and inhomogeneous anisotropic dielectric medium , 1993 .

[7]  Jianming Jin,et al.  On the formulation of hybrid finite-element and boundary-integral methods for 3-D scattering , 1998 .

[8]  F. Dubois,et al.  Scattering from several test-objects computed by 3-D hybrid IE/PDE methods , 1999 .

[9]  P. Uslenghi,et al.  Electromagnetic scattering from anisotropic materials, part I: General theory , 1984 .

[10]  Analysis of electromagnetic scattering from objects coated with arbitrarily magnetized lossy ferrite materials , 2006, IEEE Transactions on Magnetics.

[11]  Zhen Peng,et al.  Further cognition of hybrid FE/BI/MLFMA - Investigation of the hybrid computing technique for scattering by large complex targets , 2006 .

[12]  J. Monzon,et al.  Two-dimensional scattering by a homogeneous anisotropic rod , 1986 .

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

[14]  Jiming Song,et al.  Multilevel fast multipole algorithm for electromagnetic scattering by large complex objects , 1997 .

[15]  R. Zich,et al.  Moment method with isoparametric elements for three-dimensional anisotropic scatterers , 1989, Proc. IEEE.

[16]  C. Rappaport,et al.  FDFD analysis of electromagnetic scattering in anisotropic media using unconstrained triangular meshes , 1991 .

[17]  P. Uslenghi,et al.  Electromagnetic scattering from anisotropic materials, part II: Computer code and numerical results in two dimensions , 1987 .

[18]  J. Monzon.  On a surface integral representation for homogeneous anisotropic regions: two-dimensional case , 1988 .

[19]  Guglielmo Rubinacci,et al.  Solution of three dimensional eddy current problems by integral and differential methods , 1988 .

[20]  Piergiorgio L. E. Uslenghi,et al.  Anisotropic layered absorbers on cylindrical structures , 1987 .

[21]  Yousef Saad,et al.  Multilevel Preconditioners Constructed From Inverse-Based ILUs , 2005, SIAM J. Sci. Comput..

[22]  R. Eaves.  Electromagnetic scattering from a conducting circular cylinder covered with a circumferentially magnetized ferrite , 1976 .

[23]  Le-Wei Li,et al.  Analysis of electromagnetic scattering by a plasma anisotropic sphere , 2003 .