Analysis Of Line-Antennas Based On Wavelet Moment Methods

To analyses the current distribution characteristic of line-antenna usually uses the basic moment methods. Its mentality is turn continuous functional equation to discrete algebraic equation through the discretization, and to obtain the answer of original equations through solve the corresponding discrete algebraic equation. The discrete matrix which forms through the moment methods is a dense matrix. Inversion of the dense matrix is time-consuming against the objects with large electrical size, such as the line-antenna with complex geometric structure. The answers of moment methods have well stability and high accuracy at its large-scale computation, so that the application of the moment methods has been limited.Unique nature of wavelet analysis, including vanishing moment, regularity and compact support, reduces the computation time of two-dimensional and three-dimensional problems which solved by moment methods by selecting appropriate wavelet discrete basis function or discrete way. So, this paper deduced the method of solving electromagnetic integral equation of antenna and analyzed current distribution of several line-antennas by the discrete wavelet moment methods.This paper did the following work based on deducing the specific methods and steps of analyses the problem about line-antenna by moment methods:1. Three kinds of specific line-antennas were analyzed based on moment methods; 2. The idea of wavelet was applied to solve the problem on line-antenna. This paper improved methods and procedures of calculating electromagnetic issues by theoretical analysis of wavelet moment methods;3. Wavelet analysis is introduced into the analysis of complex line-antenna at first time. To analyses the same kind of complex line-antenna by basic moment methods and wavelet moment methods and the results of the analysis were compared. The results show that wavelet moment methods is applied to analyses current distribution of any shape antenna. To obtain its characteristic parameters, such as input impedance and radiation pattern, etc. by calculating the current distribution of complex line-antenna. The results of this method validate the validity and feasibility of wavelet moment methods when it analyses the complex line-antennas. Compared with basic moment methods, wavelet moment methods is not only accurate method but also greatly saves the computing time.This analysis method is versatility and has important theoretical and practical significance to enriching the theory and its application of computational electromagnetic. It gives theoretical reference value to further analysis and application of wavelet moment methods. It lays a theoretical foundation for analyses transmission characteristics of complex line-antenna and other electromagnetic problem associated with wavelet moment methods.