Abstract
This paper solved the problem of the scattering of radiation from a material half-space by the transient spectral domain method. The transient spectral domain method is a general theoretical approach for the exact solution to the time-dependent source radiation in the presence of media. It is located in the air region in the vicinity of lossy half-space. The apply of the integral transform to the wave equation in the horizontal coordinates in space by a two-dimensional Fourier transform is theoretical formulation of the problem. A source used is an electrically short vertical magnetic dipole with Impulse current distribution in the domain. Leads, under consideration of initial boundary and transition condition, the form expressions is achieved in terms of spectral domain variable and time. The integral representation determines the electromagnetic field anywhere the closed-form expressions is an achieved in terms of spectral domain variable and time.
Highlights
Time domain solution of Sommerfeld problem can be used in different areas of electromagnetics, such as evaluation of remoto-sensing systems for detection of shallow buried objects (Wait [1])
The integral representation determines the electromagnetic field anywhere the closed-form expressions is an achieved in terms of spectral domain variable and time
In this paper the classical time domain problem formed by vertically oriented magnetic dipole with impulsive current density distribution in front of lossy half-space is studied theoretically
Summary
Time domain solution of Sommerfeld problem can be used in different areas of electromagnetics, such as evaluation of remoto-sensing systems for detection of shallow buried objects (Wait [1]). In this paper the classical time domain problem formed by vertically oriented magnetic dipole with impulsive current density distribution in front of lossy half-space is studied theoretically. Weyl [3] and Banons [4] studied from a vertical electric dipole situated at a certain height h above a plane earth all field quantities are usually assumed to vary harmonically in time the classical time domain problem formed by vertically oriented magnetic dipole with impulsive current density distribution in forint of lossy half space is studied theoretically (Sommerfeld half space problem). The case is considered where the time dependence of the current in the dipole is impulsive rather than harmonic e.g. the studies by Banos [4]; Lindell and Alanen [5] and Dvorak and Mechaik [6], these techniques can be grouped in the following categories; quasi-analytical solutions which include asymptotic approximations series expansions and image representations, direct numerical integration, and methods which use numerical techniques.
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