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.

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.

Systematic wave-equation finite difference time domain formulations for modeling electromagnetic wave-propagation in general linear and nonlinear dispersive materials

2015 ◽  
Vol 26 (04) ◽  
pp. 1550046 ◽  
Author(s):  
Omar Ramadan
Keyword(s):  
Wave Propagation ◽  
Wave Equation ◽  
Electromagnetic Wave ◽  
Finite Difference ◽  
Time Domain ◽  
Finite Difference Time Domain ◽  
Electromagnetic Wave Propagation ◽  
Complex Conjugate ◽  
Linear And Nonlinear ◽  
Difference Time

In this paper, systematic wave-equation finite difference time domain (WE-FDTD) formulations are presented for modeling electromagnetic wave-propagation in linear and nonlinear dispersive materials. In the proposed formulations, the complex conjugate pole residue (CCPR) pairs model is adopted in deriving a unified dispersive WE-FDTD algorithm that allows modeling different dispersive materials, such as Debye, Drude and Lorentz, in the same manner with the minimal additional auxiliary variables. Moreover, the proposed formulations are incorporated with the wave-equation perfectly matched layer (WE-PML) to construct a material independent mesh truncating technique that can be used for modeling general frequency-dependent open region problems. Several numerical examples involving linear and nonlinear dispersive materials are included to show the validity of the proposed formulations.

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