AIM Analysis of Electromagnetic Scattering by Arbitrarily Shaped Magnetodielectric Object

A fast solution to the electromagnetic scattering by large-scale three-dimensional magnetodielectric objects with arbitrary permittivity and permeability is presented. The scattering problem is characterized by using coupled field volume integral equation (CF-VIE). By considering the total electric and magnetic fields, i.e., the sum of incident fields and the radiated fields by equivalent electric and magnetic volume currents, the CF-VIE can be established in the volume of the scatterers. The resultant CF-VIE is discretized and solved by using the method of moments (MoM). For large-scale scattering problems, the adaptive integral method (AIM) is then applied in the MoM in order to reduce the memory requirement and accelerate the matrix-vector multiplication in the iterative solver. The conventional AIM has been modified to cope with the two sets of equivalent volume currents.

[1]  Nicolaos G. Alexopoulos,et al.  Reflection and transmission of waves from multilayer structures with planar-implanted periodic material blocks , 1997 .

[2]  Jian-Ming Jin,et al.  Application of adaptive integral method to scattering and radiation analysis of arbitrarily shaped planar structures , 1998 .

[3]  Precorrected-FFT algorithm for solving combined field integral equations in electromagnetic scattering , 2002, IEEE Antennas and Propagation Society International Symposium (IEEE Cat. No.02CH37313).

[4]  Caicheng Lu A fast algorithm based on volume integral equation for analysis of arbitrarily shaped dielectric radomes , 2003 .

[5]  D. Wilton,et al.  A tetrahedral modeling method for electromagnetic scattering by arbitrarily shaped inhomogeneous dielectric bodies , 1984 .

[6]  V. Yachin Substantiation of the field functional method as applied to scattering by a doubly periodic magnetodielectric structure , 2006 .

[7]  Le-Wei Li,et al.  Fast solution of mixed dielectric/conducting scattering problem using volume-surface adaptive Integral method , 2004 .

[8]  Efficient computation of scattering by inhomogeneous dielectric bodies , 1986 .

[9]  K. Sertel,et al.  Multilevel fast multipole method solution of volume integral equations using parametric geometry modeling , 2001, IEEE Transactions on Antennas and Propagation.

[10]  M. Cátedra,et al.  A numerical scheme to obtain the RCS of three-dimensional bodies of resonant size using the conjugate gradient method and the fast Fourier transform , 1989 .

[11]  Xiao-Chun Nie,et al.  Analysis of probe-fed conformal microstrip antennas on finite grounded substrate , 2006, IEEE Transactions on Antennas and Propagation.

[12]  C. Balanis Advanced Engineering Electromagnetics , 1989 .

[13]  Jin-Ping Xu,et al.  AIM Analysis of Scattering and Radiation by Arbitrary Surface-Wire Configurations , 2007, IEEE Transactions on Antennas and Propagation.

[14]  Tat Soon Yeo,et al.  Fast analysis of scattering by arbitrarily shaped three‐dimensional objects using the precorrected‐FFT method , 2002 .

[15]  Volume integral equations for permeable structures , 2003, IEEE Antennas and Propagation Society International Symposium. Digest. Held in conjunction with: USNC/CNC/URSI North American Radio Sci. Meeting (Cat. No.03CH37450).

[16]  Matthys M. Botha,et al.  Solving the volume integral equations of electromagnetic scattering , 2006, J. Comput. Phys..

[17]  Qi-Zhong Liu,et al.  Analysis of arbitrarily shaped dielectric radomes using adaptive integral method based on volume integral equation , 2006 .

[18]  Jian-Ming Jin,et al.  Fast and Efficient Algorithms in Computational Electromagnetics , 2001 .

[19]  Alternative field representations and integral equations for modeling inhomogeneous dielectrics , 1992 .

[20]  M. Bleszynski,et al.  AIM: Adaptive integral method for solving large‐scale electromagnetic scattering and radiation problems , 1996 .

[21]  Qing Huo Liu,et al.  A volume adaptive integral method (VAIM) for 3-D inhomogeneous objects , 2002 .

[22]  Z. Q. Zhang,et al.  Three‐dimensional weak‐form conjugate‐ and biconjugate‐gradient FFT methods for volume integral equations , 2001 .

[23]  Jacob K. White,et al.  A precorrected-FFT method for electrostatic analysis of complicated 3-D structures , 1997, IEEE Trans. Comput. Aided Des. Integr. Circuits Syst..

[24]  Le-Wei Li,et al.  Analysis of Reflector and Horn Antennas Using Adaptive Integral Method , 2005, IEICE Trans. Commun..