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Study of Some Key Problems of FDTD and TDIE

Author: LiXiaoYong
Tutor: WeiBing
School: Xi'an University of Electronic Science and Technology
Course: Radio Physics
Keywords: FDTD method Time Domain Integral Universal absorbing boundary Dispersive medium Shift operator method Method of Moments
CLC: TN011
Type: Master's thesis
Year: 2010
Downloads: 90
Quote: 3
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Abstract

This paper presents a method for dispersive media FDTD computing truncated common anisotropic perfectly matched layer (Uniaxial Perfect Match Layer, UPML) absorbing boundary. Then, the system in-depth study of the time-domain integral equation method (Time Domain Integral Eqation, TDIE) calculate the metal targets electromagnetic scattering a number of key issues. UPML absorbing boundary non-dispersive medium theory, the common dispersion medium model taking into account the relative dielectric constant can be used jω characteristics as the independent variable fractional polynomial represented Application shift count neutrons FDTD method (Shift -Operator Finite Difference Time Domain, SO-FDTD), given a suitable dispersive medium model (including the Debye model, Lorentz model, Drew, models, etc.), general dispersive media UPML absorbing boundary. In this paper, general absorbing boundary for one-dimensional, two-dimensional and three-dimensional situation truncated vacuum insulating medium and various dispersion media examples, as well as absorbing boundary with CPML absorption performance comparison that this article absorbing boundary good versatility and absorption effects. A mutual savings calculated memory UPML implementations. Analysis of the UPML absorbing boundary characteristics, by absorbing boundary three-dimensional array with a number instead of a two-dimensional array, to reduce the calculation of the required memory. Deal with the complex issues of the proposed method for Subsurface. Straight wire and bend the wire surface current Time Domain Integral Equation (TDIE) method for solving some of the details in detail. Discuss the two-dimensional case of the electric field integral equation moment method for solving the problem. There are two cases: (1) TM circumstances. Time domain electric field integral equations with an order of the vector potential and 0-order derivative of the program, there is no need to use the scalar potential; (2) TE situation. Time domain electric field integral equations using the program of the first derivative of the vector potential. Unit in Central Africa the calculation of the impedance matrix and scalar potential approximation method, the calculation of their own unit shall be calculated by applying the exact integral formula. RWG basis functions characteristics, combined with the triangular patch modeling three-dimensional ideal conductor case, given dimensional the conductor TDIE method MOM numerical methods for solving the detailed process. The impedance of the coefficient matrix and scalar potential Africa singular integral approximation method, singular integral converted to triangular facets integral the trilateral loop integral precise integration method. The paper gives a three-dimensional conductor surface current density and the numerical results of the scattered field in the far, and is consistent with the literature results.

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