FAST ANALYSIS OF ELECTROMAGNETIC TRANSMISSION THROUGH ARBITRARILY SHAPED AIRBORNE RADOMES USING PRECORRECTED-FFT METHOD X.-C. Nie and N. Yuan

A fast technique based on the Poggio, Miller, Chang, Harrington and Wu (PMCHW) formulation and the precorrected- FFT method is presented for accurate and efficient analysis of electromagnetic transmission through dielectric radomes of arbitrary shape (including airborne radomes). The method of moments is applied to solve the integral equations in which the surfaces of the radomes are modeled using surface triangular patches and the integral equations are converted into a linear system in terms of the equivalent electric and magnetic surface currents. Next, the precorrected- FFT method, a fast approach associated with O(N 1.5 log N) or less complexity, is used to eliminate the requirement of generating and storing the square impedance matrix and to speed up the matrix-vector product in each iteration of the iterative solution. Numerical results are presented to validate the implementation and illustrate the accuracy of the method.

[1]  A. D. McLaren,et al.  Optimal numerical integration on a sphere , 1963 .

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

[3]  Tat Soon Yeo,et al.  A fast analysis of scattering and radiation of large microstrip antenna arrays , 2003 .

[4]  E. Arvas,et al.  Scattering cross section of a small radome of arbitrary shape , 1989 .

[5]  Raj Mittra,et al.  Finite element analysis of axisymmetric radomes , 1993 .

[6]  Renato Orta,et al.  Performance degradation of dielectric radome covered antennas , 1988 .

[7]  J. Volakis,et al.  Hybrid PO-MoM analysis of large axi-symmetric radomes , 2001 .

[8]  Ayhan Altintas,et al.  Numerical optimization of a cylindrical reflector-in-radome antenna system , 1999 .

[9]  R. Rudduck,et al.  Plane wave spectrum-surface integration technique for radome analysis , 1974 .

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

[11]  Dielectric radome analysis using multilevel fast multiple algorithm , 2001, IEEE Antennas and Propagation Society International Symposium. 2001 Digest. Held in conjunction with: USNC/URSI National Radio Science Meeting (Cat. No.01CH37229).

[12]  U. Pekel,et al.  Electromagnetic transmission through a small radome of arbitrary shape , 1990 .

[13]  J. Phillips.  Error and Complexity Analysis for a Collocation-Grid-Projection Plus Precorrected-FFT Algorithm for Solving Potential Integral Equations with LaPlace or Helmholtz Kernels , 1996 .

[14]  John L. Volakis,et al.  Galerkin operators in adaptive integral method implementations , 2001 .

[15]  L. Felsen,et al.  Ray analysis of two-dimensional radomes , 1983 .

[16]  Lewei Li,et al.  Radiation of an aperture antenna covered by a spherical-shell chiral radome and fed by a circular waveguide , 1998 .

[17]  D. Wilton,et al.  Electromagnetic scattering by surfaces of arbitrary shape , 1980 .

[18]  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..

[19]  Tat Soon Yeo,et al.  Improved analysis of antenna radiation from a circular aperture covered by a dielectric hemispherical radome shell , 2000 .

[20]  L. Felsen,et al.  Complex ray analysis of beam transmission through two-dimensional radomes , 1985 .

[21]  A fast analysis of electromagnetic scattering by arbitrarily shaped homogeneous dielectric objects , 2003 .