Compensation-theorem analyses of ground wave propagation over irregular,inhomogeneous terrains |
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| Institution: | 1. University of Saint Petersburg, Saint Petersburg, Russia;2. Arctic and Antarctic Research Institute, Saint Petersburg, Russia;1. Saint-Petersburg State University of Aerospace Instrumentation, 67, Bolshaya Morskaya Street, Saint-Petersburg 190000, Russia;2. Institute for Physics, Southern Federal University, Stachki, 194, Rostov-on-Don 344090, Russia;3. Physical Department, Southern Federal University, Sorge, 5, Rostov-on-Don 344090, Russia;4. Arctic and Antarctic Research Institute, 38 Bering Street, Saint-Petersburg 199397, Russia |
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| Abstract: | Work during the last 40 years on various aspects of ground wave propagation is surveyed, including dipole propagation over flat homogeneous and inhomogeneous terrains, smooth homogeneous earth, and irregular homogeneous and inhomogeneous terrains. The Ott-Volterra integral equation for TMp ground wave field over irregular homogeneous paths is discussed and an occasional troublesome behavior of the modified Sommerfeld attenuation function explained. Several representations of spatially distributed transmitter current are presented. A Compensation-theorem Volterra for the ground wave over inhomogeneous terrain is derived, in the parabolic wave equation approximation. A recent Compensation-theorem integral equation for general terrain satisfying the hyperbolic wave equation is reviewed. Computations for several very rough terrains indicate the ‘parabolic’ integral equations may often be more accurate. |
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