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Time Domain Integral Equation method of electromagnetic scattering and radiation

Author: ZhaoQingGuang
Tutor: ZhaoYanWen
School: University of Electronic Science and Technology
Course: Electromagnetic Field and Microwave Technology
Keywords: Time stepping algorithm After stability when Space-time points Lines to cover the base function Bilinear basis functions
CLC: O441.4
Type: Master's thesis
Year: 2008
Downloads: 206
Quote: 2
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Abstract


Time Domain Integral Equation (TDIE) analysis of the complex target broadband electromagnetic scattering and any antenna transient radiation problem is widespread concern due to the high resolution of the short-time pulse radar and the development of ultra-wideband communication. Time Domain Integral Equation Solving stepping algorithm (MOT) after instability and poor accuracy, however, hindered the extensive use of engineering for Time Domain Integral Equation. Stable and precise method for solving this study Time Domain Integral Equation Time Domain Integral Equation broadband electromagnetic scattering and antenna radiation. First of all, from the time variable Maxwell equations starting detailed derivation of the time domain electric field integral equation (TDEFIE), magnetic field integral equation (TDMFIE) and mixed field integral equation (TDCFIE), introduced the Moment Method domain integral equations of the basic ideological and matrix the numerical solution of the equation. Second, the time stepping algorithms for solving the time-domain integral equation when instability, pointed out that the main reason for the instability caused after numerical discretization error, can accurately calculate the impedance matrix elements of the time-domain, to reduce the numerical discretization error and implicit time-stepping algorithm to improve time-stepping algorithm after stability. Based on this understanding, a detailed discussion of the implicit time stepping algorithm for solving the time-domain integral equation. Details singular integral processing technology Time Domain Integral Equation solving process. The proposed new method for an accurate calculation of the matrix element of the time-domain impedance. In this method, the source unit over the integral transformed into one-dimensional convolution the analytical integral to accurate calculation of the impedance matrix elements of the time-domain, and can effectively deal with the singularity points and one-dimensional space. The method can be used for self-impedance calculation of the matrix elements, they can be used in the calculation of the mutual impedance matrix elements can be used in both the time domain electric field integral equation, and can be used for time-domain magnetic field integral equation. Calculation examples show that the method can ensure the stability of the Time Domain Integral Equation time stepping algorithm accuracy and after a wide range of time step. Again, solving the problem of the antenna radiation lines, surfaces, and lines to cover the base function. Detailed derivation of the integral equations in the time domain, lines, surfaces and lines to cover the space-based basis functions given impedance matrix elements of the calculation of the time-domain expressions. A method for processing lines to cover the base function in the time domain integral equation singularity, the method comprises two steps: step Duffy transform (removal of the singularity of the Green's function), step polar coordinate transformation (removal line surface combined with a singular point). Feeding the setting of the model with the input impedance calculation. Calculation examples of that paper, the stability of the Time Domain Integral Equation accurate solving a wire antenna, surface antenna in the metal conductor above the line antenna, installed in metal conductors on the line antenna's radiation problem, this paper line surface binding motif function singularity processing method effective and accurate. Finally, the bilinear basis function and its characteristics. Detailed derivation of the domain integral equations based on bilinear basis functions, given the time-domain impedance matrix elements calculated expression. Pointed out that the the tensor integral method can improve the efficiency of the calculation domain impedance matrix elements. Bilinear basis functions Time Domain Integral Equation-based stability compared bilinear basis functions based time-domain magnetic field integral equation with RWG basis function of time-domain magnetic field integral equation-based solution accuracy. An example shows that the bilinear basis functions Time Domain Integral Equation-based Stable and Accurate Solution, time-domain magnetic field and the accuracy of mixed field integral equation based on bilinear basis functions are better than time-domain magnetic field and RWG Basis Functions mixed field integral equation.

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CLC: > Mathematical sciences and chemical > Physics > Electromagnetics,electrodynamics > Electricity and Magnetism > Electromagnetic waves and electromagnetic fields
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