Fast and Accurate Radar Cross Section Computation Using Chebyshev Approximation in Both Broad Frequency Band and Angular Domains Simultaneously

Abstract

Abstract-To predict the three-dimensional radar cross section (RCS) pattern of an arbitrary shaped perfectly electric conductor objects in both a broad frequency band and angular domains simultaneously, the method of moments (MoM) combined with the Chebyshev polynomial approximation is presented. The induced current is expanded by a bivariate Chebyshev series. Using this function, the induced current can be obtained at any frequency and angle within the desired frequency band and angular domains. Numerical results show that the proposed method is found to be superior in terms of the CPU time to obtain the three-dimensional RCS pattern compared with the direct solution by MoM repeating the calculations at each frequency and angle. Good agreement between the presented method and the direct MoM is observed.

Fast scattering analysis over a wide frequency band using Clenshaw–Lord‐type Pade–Chebyshev approximation

“…To obtain the rational function, the coefficients p 0 , p r , and q s can be found from c k using the procedure in [22]. After substituting (7), (14) becomes…”

“…On the contrary, interpolation using Chebyshev polynomial is convergent over a wider range, and does not require functional derivatives [13]. Therefore, the prediction of surface currents with Chebyshev polynomials in conjunction with MoM has been studied [14]. Besides, rational function with Pade approximation is applied because the ripples in the curve using only Chebyshev polynomials may occur for complex structures.…”

Fast Algorithm of Wideband Electromagnetic Scattering of Homogeneous Dielectric Targets

“…For the purpose of accurate and efficient analysis of broadband scattering property, the Asymptotic Waveform Evaluation (AWE) [11,12], Model Based Parameter Estimation (MBPE) [13], Best Uniform Rational Approximation (BURA) [14][15][16] and other methods are proposed one after another. In the above methods, both the AWE and MBPE need to calculate and store higher derivatives of the impedance matrix.…”