Application of generalized impedance boundary conditions to sommerfeld half-space problem |
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Authors: | JIANG Bin-hao LIU Yong-tan |
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Affiliation: | 1. Dept. Of Electrical Engineering, Harbin Institute of Technology, Harbin,150001,China 2. Research Institute of Electronic Engineering, Harbin Institute of Technology, Harbin,150001,China |
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Abstract: | Generalized impedance boundary conditions are employed to simplify the solution of the Sommerfeld half-space problem. An analytical expression is derived for the Hertz potential of a vertical electric dipole over the earth's surface, in which the earth is assumed to be a layered media or homogeneous dissipative half-space. A Sommerfeld type integral in the potential function is expressed as the sum of two parts: a zeroth order Hankel function and an absolutely convergent series of Bessel functions. In addition, two expressions in closed form are obtained as the far-field and near-field approximation of the present result. |
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Keywords: | electromagnetic theory sommerfeld type integral generalized impedance boundary conditions analytical expression |
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