Abstract
A new type of fast method of moments (MoM) solution scheme for large arrays is developed using standard basis functions. Both fill and solve times are improved with respect to standard MoM solvers. The efficiency of the method relies on approximating the Green's function as a sum of separable interpolation functions defined on a relatively sparse uniform grid, along with use of the fast Fourier transform. The method permits the analysis of arrays with arbitrary contours and/or missing elements. Preliminary results show the effectiveness of the method for planar array elements in free space.
Highlights
T HE numerical modeling of large arrays remains a challenging problem, much progress has been made [1]–[5]
The Green’s function interpolation and fast Fourier transforms (GIFFT) method has been developed for arrays with arbitrary geometries
An array mask function is used to identify array boundaries and to specify the domain over which the Green’s function is interpolated using a separable representation involving Lagrange polynomials; an fast Fourier transform (FFT) is used to accelerate the matrix-vector accuracy of the Green’s function interpolation depends on the number of interpolation points per wavelength, it is expected that larger array cells would require higher-order interpolation
Summary
Abstract—A new type of fast method of moments (MoM) solution scheme for large arrays is developed using standard basis functions. Both fill and solve times are improved with respect to standard MoM solvers. The efficiency of the method relies on approximating the Green’s function as a sum of separable interpolation functions defined on a relatively sparse uniform grid, along with use of the fast Fourier transform. The method permits the analysis of arrays with arbitrary contours and/or missing elements. Preliminary results show the effectiveness of the method for planar array elements in free space
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