A new method of multiresolution time domain analysis is proposed, which is based on compactly supported Daubechies scaling functions in the electromagnetic scattering of three dimensional objects. The highly linear dispersional properties are investigated. Using the interfaces of MRTD/FDTD technique, the connecting and absorption boundaries are dealt with. Numerical experiments show that, compared with conventional FDTD, this method can reduce cells without sacrificing solution accuracy, and uses less CPU time. Finally, the characteristics of PBG structure are obtained using this scheme.
A hybrid algorithm of time domain integral equation (TDIE) and time domain Kirchhof approximation (TDKA) is proposed to compute the TM transient scattering from a 2-dimensional (2D) perfectly conducting (PEC) target above 2D PEC randomly rough surface. Explicit and implicit procedures of Marching-on-in-time (MOT) are developed, respectively. TDKA is applied to the rough surface while TDIE is applied to the target, and the mixed iteration of TDIE/TDKA is introduced to take into account the interactions between the target and the rough surface. In numerical examples, both bent strip (open structure) and cylinder (closed struc- ture) are considered and numerical results present the target surface current response and the far scattered electric field response, which are compared with those obtained from whole TDIE. Numerical results demonstrate the efficiency and the accuracy of the hybrid algorithm. Still in numerical examples, the influence on the far scattered electric field caused by the target is discussed.
Let P (∆) be a polynomial of the Laplace operator ∆ = n j=1 ∂ 2 ∂x 2 j on R n . We prove the existence of weak solutions of the equation P (∆)u = f and the existence of a bounded right inverse of the differential operator P (∆) in the weighted Hilbert space with Gaussian measure, i.e., L 2 (R n , e −|x| 2 ).
This paper employs the wavelet-Galerkin time domain (WGTD) technique to study composite scattering of arbitrarily target and a lossy ground, and the incidence is realized through three-wave technology. The far-field radiated by the surface currents is calculated using the reciprocity theorem instead of the more complicated Sommerfeld integration. Numerical radar cross section demonstrate the validity and precision of WGTD. Compared to finite difference time domain method, the WGTD method has the advantages of smaller memory and higher efficiency.
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