Electromagnetic wave propagation in spherically stratified isotropic media

1968 ◽  
Vol 4 (25) ◽  
pp. 572 ◽  
Author(s):  
B.S. Westcott
Keyword(s):  
Wave Propagation ◽  
Electromagnetic Wave ◽  
Electromagnetic Wave Propagation ◽  
Isotropic Media

Exact solutions for electromagnetic wave propagation in spherically stratified isotropic media

1968 ◽  
Vol 64 (1) ◽  
pp. 227-235 ◽  
Author(s):  
B. S. Westcott
Keyword(s):  
Refractive Index ◽  
Wave Propagation ◽  
Electromagnetic Wave ◽  
Exact Solutions ◽  
Electromagnetic Wave Propagation ◽  
Wave Functions ◽  
Systematic Search ◽  
Special Cases ◽  
Isotropic Media ◽  
Transcendental Functions

AbstractFollowing Heading (4) a systematic search is made for useful refractive index profiles in spherically stratified isotropic media which are capable of yielding wave functions expressed in terms of the standard transcendental functions. Previously known profiles are shown to emerge as special cases of the analysis. Subject to the criteria adopted all possible profiles are derived.

scholarly journals SH-TM mathematical analogy for the two-layer case. A magnetotellurics application

2017 ◽  
Vol 6 (1) ◽  
pp. 29
Author(s):  
J. Carcione ◽  
F. Poletto
Keyword(s):  
Wave Propagation ◽  
Wave Equation ◽  
Electromagnetic Wave ◽  
Classical Solution ◽  
Electromagnetic Wave Propagation ◽  
Transverse Magnetic ◽  
Geothermal Systems ◽  
Isotropic Media ◽  
Magnetotelluric Method ◽  
Mathematical Analogy

The same mathematical formalism of the wave equation can be used to describe anelastic and electromagnetic wave propagation. In this work, we obtain the mathematical analogy for the reflection/refraction (transmission) problem of two layers, considering the presence of anisotropy and attenuation -- viscosity in the viscoelastic case and resistivity in the electromagnetic case. The analogy is illustrated for SH (shear-horizontally polarised) and TM (transverse-magnetic) waves. In particular, we illustrate examples related to the magnetotelluric method applied to geothermal systems and consider the effects of anisotropy. The solution is tested with the classical solution for stratified isotropic media.

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