Abstract

The TDIE/FDTD hybrid method is applied to calculate the transient responses of thin wire above a lossy layered half-space. The time-domain reflection of the layered half space is computed by one-dimensional modified FDTD method. Then, transient response of thin wire induced by two excitation sources (the incident wave and reflected wave) is calculated by TDIE method. Finally numerical results are given to illustrate the feasibility and high efficiency of the presented scheme.

Highlights

  • Among the available literatures when analyzing transient response of thin-wire above a half-space, the scattering and radiation of thin-wire structure are generally analyzed by employing time-domain integral equation (TDIE) method [1,2,3,4,5,6,7,8] or finite element method (FEM) [9], and the influence of half-space is often considered by introducing the imaging principle, as well as reflection coefficient [3]

  • The first is the original incident wave, which is introduced in analytical form, while the other exciting source is from the reflected wave of the underlying layered half-space, which can be calculated using one-dimensional modified FDTD method

  • In order to obtain the reflected wave where the conducting wire is positioned, the location of output point in the scattering field (SF) region of FDTD domain is as high as the wire, whereas the half-space is modeled in the total field region

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Summary

Introduction

Among the available literatures when analyzing transient response of thin-wire above a half-space, the scattering and radiation of thin-wire structure are generally analyzed by employing time-domain integral equation (TDIE) method [1,2,3,4,5,6,7,8] or finite element method (FEM) [9], and the influence of half-space is often considered by introducing the imaging principle, as well as reflection coefficient [3]. A hybrid method that combines TDIE with FDTD is employed to study the transient responses of thin conducting wire above a lossy and layered half-space. Transient response on the wire is analyzed using TDIE [1, 2], which has two exciting terms in the formulation, both the original incidence and the reflected wave This hybrid algorithm utilizes advantages of both TDIE and FDTD, respectively, and no iteration is needed. Numerical examples show that this hybrid method is a very efficient way to study transient responses of wire structures above a layered half-space

Basic Theory of Hybrid Method
Numerical Results
Conclusion
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