No abstract

No abstract

Using Daubechies wavelet with one, two, three, and four vanishing moments, basis functions for the efficient solution of electromagnetic integral equations are studied. Due to the vanishing moments, the moment matrices resulting in these problems are sparsified by wavelet, and consequently, the solution can be obtained rapidly. The microstrip line is examined in order to demonstrate the advantages of this suggested wavelet-moments method over the traditional moment method. To demonstrate the effectiveness and accuracy of the proposed technique, numerical results for error relative for different vanishing moments of Daubechies wavelets are presented. It is found that Daubechies wavelets with larger number of vanishing moments generally give higher accuracy. NOMENCLATURE MoM Method of Moments TEM Transverse electromagnetic dbN Daubechies wavelet with N vanishing moments nfb Number of basic functions nfe Number of testing functions Thr Threshold IM Impedance Matrix CPU Central Processing Unit

This research studied the detection of cavities and other abnormalities in subsoil utilizing ground penetrating radar (GPR) and an algorithm developed under MATLAB. The study also analyzed and modeled GPR signals to find the exact location of cavities in the subsoil. The algorithm was based on the finite difference time domain (FDTD) method to simulate cavities and compare them with an experimental study. This study used GPR with 400 MHz and 200 MHz to investigate and detect cavities. Three different areas were chosen with different proprieties of subsoil to detect the cavities: mountainous, coastal, and lowland areas. The results show high accuracy in the detection of cavities using GPR.

In this paper, we apply a several wavelets basis functions to the method of moments to modeling the parallel-coupled microstrip lines. The first set of equations is for the shielded microstrip line solved with moment’s method and wavelets. The Green’s function is obtained from the theory of images. The second set are for the parallel-coupled microstrip lines operating in the TEM mode or when the analysis can be based on quasi-static approximation, the properties of coupled lines can be determined from the self- and mutual inductances and capacitances for the lines. To demonstrate the effectiveness and accuracy of the proposed technique, numerical results of even- and odd-mode characteristic impedances, coupling coefficient, percentage sparsity achieved in the impedance matrix, the CPU Time to reverse impedance matrix, and error relative for Daubechies, Coiflets,   Biorthogonal and Symlets wavelets are presented. Numerical results are in good agreement with those in previous publications.