Application of Haar Wavelets and Method of Moments for Computing Performance Characteristics of Electromagnetic Materials

Abstract

Present paper demonstrates on application aspect of Haar wavelets and method of moments for computing performance characteristics in electromagnetic field. In this paper, some significant results including performance characteristics relevant to application of the Haar wavelets as the expansion function in the method of moments have been successfully explored. The present analysis for performance evaluation has been focused for three different electromagnetic materials-finite straight, thin plane plate and eddy current problem. The main results explored are described in the main text and also concluded at the end with discussions.

Healing Graphene Defects Using Selective Electrochemical Deposition: Toward Flexible and Stretchable Devices

“…The defect sites are electrically disconnected, and therefore, the charge distribution on graphene is affected by the defect geometries. On the basis of Coulomb’s law, the charge distribution in various geometries can be numerically analyzed with the moment method. − It is obvious that charges are concentrated on geometric boundaries such as edges or vertices, which yields the selective electrodeposition of metal. As shown in the pinhole of Figure c, the silver was partially deposited along the edges, while the entire area of the pinhole was covered with silver in graphene–copper.…”

Studying the Influence of the Number Vanishing Moments of Daubechies Wavelets for the Analysis of Microstrip Lines

“…It is easier to expand a given function in a wavelet basis than to expand an unknown function in wavelets while solving the corresponding integral equation by the MoM. In this paper, we will apply the wavelet based MoM [11][12][13][14][15][16][17].…”

“…These are stripline, microstrip and coplanar waveguides [1][2][3][4][5][6][7][8][9][10][11][12]. In analyzing planar microstrip structures, the method of moments (MoM) can be applied either in the spectral domain [19][20][21] or in the spatial domain [9][10][11][12][13][14][15][16][17][18][19][20][21]. However, in the conventional form of the spatial domain approach, the Green's functions for the microstrip structures involve the evaluation of the Sommerfeld integrals, whose integrands are highly oscillatory and slowly decaying functions; hence their computation is very time consuming.…”