Abstract
In this paper, the Adaptive Modified Characteristic Basis Function Method (AMCBFM) is proposed for quickly simulating electromagnetic scattering from a one-dimensional perfectly electric conductor (PEC) rough surface. Similar to the traditional characteristic basis function method (CBFM), Foldy-Lax multiple scattering equations are applied in order to construct the characteristic basis functions (CBFs). However, the CBFs of the AMCBFM are different from those of the CBFM. In the AMCBFM, the coefficients of the CBFs are first defined. Then, the coefficients and the CBFs are used to structure the total current, which is used to represent the induced current along the rough surface. Moreover, a current criterion is defined to adaptively halt the order of the CBFs. The validity and efficiency of the AMCBFM are assessed by comparing the numerical results of the AMCBFM with the method of moments (MoM). The AMCBFM can effectively reduce the size of the matrix, and it costs less than half the CPU time used by the MoM. Moreover, by comparing it with the traditional CBFM, the AMCBFM can guarantee the accuracy, reduce the number of iterations, and achieve better convergence performance than the CBFM does. The second order of the CBFs is set in the CBFM. Additionally, the first order of the CBFs of the AMCBFM alone is sufficient for this result.
Highlights
Electromagnetic (EM) scattering from rough surface has been widely studied and applied in the research areas of marine communication, target detection, and stealth technology [1,2,3,4,5]
In the characteristic basis function method (CBFM), the Foldy-Lax multipath scattering equations [13] are applied in order to structure the characteristic basis functions (CBFs)
The self-interaction is first considered in order to generate the primary characteristic basis functions (PCBFs)
Summary
Electromagnetic (EM) scattering from rough surface has been widely studied and applied in the research areas of marine communication, target detection, and stealth technology [1,2,3,4,5]. The dimensions of the solution matrix of the MoM are N × N, where N represents the number of unknowns When solving this problem using the MoM, one has to simulate a sufficiently long rough surface, which results in many unknowns N and time-consumption. In the CBFM, the Foldy-Lax multipath scattering equations [13] are applied in order to structure the characteristic basis functions (CBFs). The self-interaction is first considered in order to generate the primary characteristic basis functions (PCBFs). The Adaptive Modified Characteristic Basis Function Method (AMCBFM) [16] with a new current criterion is proposed. The new current criterion that is defined in this paper is used to adaptively halt the order of the SCBFs. The remainder of this paper is organized as follows.
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