Abstract
When solving the electromagnetic scattering problems over wide angle, the traditional method of moments (MoM) needs to repeat the solving process of dense systems of linear equations using the iteration method at each incident angle, which proved to be quite inefficient. To circumvent this problem, a fast numerical method based on block LDLT factorization accelerated by adaptive cross approximation (ACA) algorithm is presented to analyze the electromagnetic scattering of left-handed materials (LHM) coated target. The ACA algorithm is applied to impedance matrix filling and all steps of block LDLT factorization process, which can accelerate the computation process and reduce the memory consumption. The numerical results proved that the proposed method is efficient in calculating monostatic RCS of LHM coated target with many required sampling angles. Compared with the traditional MoM, computation time and memory consumption are reduced effectively.
Highlights
Left-handed materials (LHM) [1, 2] have electromagnetic properties which cannot be generally found in nature; the electric field direction, magnetic field direction, and the propagation vector conform to the laws of the left hand when electromagnetic wave travels in it
In literature [9], the wide band scattering of perfectly conducting target coated with double negative materials (DNG) is computed using finite difference time domain (FDTD) method
We observe that the agreement between the FEKO results and those obtained with the thin dielectric sheet (TDS)-LDLT-adaptive cross approximation (ACA) method is excellent
Summary
Left-handed materials (LHM) [1, 2] have electromagnetic properties which cannot be generally found in nature; the electric field direction, magnetic field direction, and the propagation vector conform to the laws of the left hand when electromagnetic wave travels in it. Researchers have proposed various methods to analyze the scattering problem of LHM coated targets. In literature [8], the physical optics (PO) method in combination with the impedance boundary condition (IBC) is used to analyze the near-field electromagnetic scattering characteristics of LHM coated targets. In literature [9], the wide band scattering of perfectly conducting target coated with DNG is computed using finite difference time domain (FDTD) method. Apart from the above methods, this paper mainly discusses the fast method to compute the RCS of LHM coated target over wide angle based on MoM [10] framework and hybrid PEC-dielectric formulation. When solving the electromagnetic scattering problems with multiple incident angles, traditional MoM needs to compute the current coefficients as the change of incident angle. Iteration method is used to solve the linear system equations which proved to be a quite effective method for bistatic RCS computing, but, for monostatic RCS with many sampling angles, the iteration operations must be repeated when the incident angle changes each time; this is inefficient when the number of sampling angles is large; there are often convergence issues when dealing with
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