A Modified Wavelet-Meshless Method for Lossy Magnetic Dielectrics at Microwave Frequencies

In this work, the use of existing multiresolution analysis (MRA) in meshless method is studied to analyze some dielectrics for which the permeability and permittivity are complex at microwave frequencies. It will be shown that the existing MRA has some disadvantages and non meaningful aspects when is used in above dielectric simulation. In general, this type of MRA belongs to other areas of study such as image processing. Specifying these aspects and proposing some modifications to overcome the disadvantages of existing MRA for reaching a strict method of using wavelets in area of high frequency dielectrics, is the aim of this paper. We have selected the meshless method that is one of the newest and most powerful existing numerical methods as an area of using the modified MRA called computational MRA (CMRA). The use of CMRA in meshless methods, not only leaves most of the disadvantages, but also is faster and more accurate in comparison with the most other numerical methods.