Ground wave attenuation function for a spherical earth with arbitrary surface impedance

Radio Science ◽  
1980 ◽  
Vol 15 (3) ◽  
pp. 637-643 ◽  
Author(s):  
David A. Hill ◽  
James R. Wait
Author(s):  
Wei Kit Lee ◽  
Serene H.X. Tay ◽  
Seng Keat Ooi ◽  
Daniel A. Friess

Geophysics ◽  
1984 ◽  
Vol 49 (8) ◽  
pp. 1388-1388
Author(s):  
James R. Wait

With all due respect to Singh and Rankin (1983), I believe that their criticism of the paper by Thiel and Chant (cited above) needs clarification. Contrary to the assertion by Singh and Rankin, the quoted formula for the function [Formula: see text] (incorrectly called a wavetilt) can indeed depend upon the mode of propagation. The factor sin θ, appearing in the quoted expressions, is the sine of the complex angle of the incident wave whether it be a ground wave or a downgoing ionospherically reflected wave. This point is central to the long‐standing dispute between the “Cagniard school” of magnetotelluric sounding and those who believe that source field characteristics can play a role. Thiel and Chant correctly pointed out that the elliptical polarization of the downgoing wave can mess up the results. But possibly they overlooked that this effect, in a surface impedance measurement, is minimized compared with a true wavetilt measurement. The latter senses the vertical electric field with a vertical (i.e., whip) antenna, whereas in a true surface impedance measuring scheme both horizontal E and horizontal H fields are sensed. Actually Thiel and Chant measured surface impedance, so the elliptical polarization of the downgoing wave probably plays a minor role.


2021 ◽  
pp. 279-303
Author(s):  
Masaya Yoshikai ◽  
Takashi Nakamura ◽  
Rempei Suwa ◽  
Rene Rollon ◽  
Kazuo Nadaoka

1968 ◽  
Vol 46 (9) ◽  
pp. 1135-1136 ◽  
Author(s):  
Gerard A. Schlak ◽  
James R. Wait

The directional dependence of the calculated surface impedance on a nonparallel stratified conductor is pointed out. In spite of this dependence, the reciprocity theorem is not violated when the mutual coupling between two dipoles is considered.


1967 ◽  
Vol 45 (11) ◽  
pp. 3697-3720 ◽  
Author(s):  
G. A. Schlak ◽  
James R. Wait

The objective is to calculate the electromagnetic field of a dipole located over a flat inhomogeneous ground whose upper layer has a variable thickness. Although a formally exact derivation for a lossy dielectric wedge model is available, its complexity prohibits immediate application. Instead, using a geometrical-optical technique, an approximate expression is developed for the effective surface impedance at the ground surface. This method takes full account of multiple reflections within the wedge region but neglects scattering from the wedge apex. Thus, the resulting surface impedance formula is valid everywhere except near the apex of the wedge. With this point kept in mind, the compensation theorem is employed to derive an integral equation for the electromagnetic field produced by a dipole located above this model of a nonparallel stratified ground. Using an appropriate reference field, the resulting integral equation of the Volterra type is solved by an iterative method. The excellent convergence of this procedure is demonstrated for a particular model. This solution yields quantitative results for the ground-wave attenuation function. In the case of a parallel stratified ground, it reduces to earlier known results.


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