scholarly journals New capabilities of Chetaev´s model

2016 ◽  
Vol 2 (2) ◽  
pp. 86-92
Author(s):  
Михаил Савин ◽  
Mihail Savin ◽  
Юрий Израильский ◽  
Yuriy Izrailsky
Keyword(s):  
Plane Wave ◽  
Layered Medium ◽  
Reflection Coefficients ◽  
Energy Fluxes ◽  
Resonance Model ◽  
Mathematical Experiment ◽  
Field Recording ◽  
Inhomogeneous Plane ◽  
Inhomogeneous Plane Wave ◽  
S Model

This paper considers anomalies in the magnetotelluric field in the Pc3 range of geomagnetic pulsations. We present experimental data on Pc3 field recording which show negative (from Earth’s surface to air) energy fluxes Sz<0 and reflection coefficients |Q|>1. Using the model of inhomogeneous plane wave (Chetaev’s model), we try to analytically interpret anomalies of energy fluxes. According to a mathematical experiment there are two three-layer models with both electrical and magnetic modes satisfying the condition |Qh|>1. Here we discuss a possibility of explaining observable effects within the framework of the resonance model inhomogeneous plane wave — layered medium.

scholarly journals New capabilities of Chetaev´s model

2016 ◽  
Vol 2 (2) ◽  
pp. 104-114
Author(s):  
Михаил Савин ◽  
Mihail Savin ◽  
Юрий Израильский ◽  
Yuriy Izrailsky
Keyword(s):  
Experimental Data ◽  
Plane Waves ◽  
Reflection Coefficients ◽  
Geomagnetic Pulsations ◽  
Energy Fluxes ◽  
Field Recordings ◽  
Inhomogeneous Plane ◽  
Inhomogeneous Plane Wave ◽  
S Model ◽  
Inhomogeneous Plane Waves

This paper considers anomalies in the magnetotelluric field in the Pc3 range of geomagnetic pulsations. We report experimental data on Pc3 field recordings which show negative (from Earth’s surface to air) energy fluxes Sz<0 and reflection coefficients |Q|>1. Using the model of inhomogeneous plane wave (Chetaev’s model), we try to analytically interpret anomalies of energy fluxes. We present two three-layer models with both electric and magnetic modes satisfying the condition |Qh|>1. Here we discuss a possibility of explaining observable effects by the resonance interaction between inhomogeneous plane waves and layered media.

The diffraction of an inhomogeneous plane wave by a wedge

Radio Science ◽  
1996 ◽  
Vol 31 (6) ◽  
pp. 1387-1397 ◽  
Author(s):  
R. G. Kouyoumjian ◽  
G. Manara ◽  
P. Nepa ◽  
B. J. E. Taute
Keyword(s):  
Plane Wave ◽  
Inhomogeneous Plane ◽  
Inhomogeneous Plane Wave

On modeling airborne very low‐frequency measurements

Geophysics ◽  
1989 ◽  
Vol 54 (12) ◽  
pp. 1596-1606 ◽  
Author(s):  
Ari Poikonen ◽  
Ilkka Suppala
Keyword(s):  
Plane Wave ◽  
Electric Field ◽  
Numerical Models ◽  
Vertical Component ◽  
Low Frequency ◽  
Primary Field ◽  
Vertical Electric Field ◽  
Inhomogeneous Plane ◽  
Inhomogeneous Plane Wave ◽  
Attenuation Characteristics

Numerical models employed in ground VLF modeling use a normally incident (homogeneous) plane wave as a primary field. We show that these models are not directly applicable to modeling the impedance and wavetilt in the air, quantities needed in the interpretation of airborne VLF resistivity measurements. Instead, the primary field must be replaced by an inhomogeneous plane wave incident on the ground at an angle close to 90 degrees in order to provide the correct behavior of the apparent resistivities in the air. VLF magnetic polarization parameters, however, can be modeled in the air using the normally incident plane wave as a primary field. We also show that the plane‐wave analysis provides the same attenuation characteristics for the wavetilt in the air that is predicted by the Norton’s surface wave obtained by using the vertical electric dipole as a source. Use of the inhomogeneous plane wave introduces the vertical component of the electric field in the model. A 2‐D modeling technique based on the network solution is used to demonstrate the effects of the vertical electric field in the H‐polarization case. The vertical electric field generates charge distributions on the horizontal boundaries of conductors. In the case of a vertical sheet‐like conductor, these charges cause a slight asymmetry in apparent‐resistivity anomalies. Attenuation characteristics of various VLF anomalies with altitude are also presented. The H‐polarization anomalies attenuate much more rapidly in the air than those for E‐polarization due to the difference in the dominating source of EM fields in each polarization.

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