Phase shift for total reflection from a bounded dielectric layer

1969 ◽  
Vol 47 (7) ◽  
pp. 826-830
Author(s):  
James R. Wait ◽  
Kenneth P. Spies
Keyword(s):  
Phase Shift ◽  
Reflection Coefficient ◽  
Transition Zone ◽  
Dielectric Layer ◽  
Electromagnetic Waves ◽  
Total Reflection ◽  
Numerical Results ◽  
Dielectric Region

The reflection of horizontally polarized electromagnetic waves from a stratified lossless dielectric region is considered. The region consists of two homogeneous half-spaces separated by a transition zone with a linearly varying permittivity. For angles of incidence sufficiently near grazing, it is shown that the magnitude of the reflection coefficient is unity, but the phase shift on reflection depends on the width of the transition zone in addition to the permittivity gradient. Some numerical results for the phase shift are given and discussed in relation to various limiting situations.

REFLECTION COEFFICIENT OF AN ELECTROMAGNETIC WAVE IN CONDUCTIVE MEDIA

2018 ◽  
pp. 100-106
Author(s):  
M. S. Sudakova ◽  
M. L. Vladov ◽  
M. R. Sadurtdinov
Keyword(s):  
Reflection Coefficient ◽  
Ground Penetrating Radar ◽  
Electromagnetic Waves ◽  
Water Contamination ◽  
Survey Design ◽  
Direct And Inverse Problems ◽  
The Difference ◽  
Ground Penetrating ◽  
Ideal Dielectric

Within the ground penetrating radar bandwidth the medium is considered to be an ideal dielectric, which is not always true. Electromagnetic waves reflection coefficient conductivity dependence showed a significant role of the difference in conductivity in reflection strength. It was confirmed by physical modeling. Conductivity of geological media should be taken into account when solving direct and inverse problems, survey design planning, etc. Ground penetrating radar can be used to solve the problem of mapping of halocline or determine water contamination.

Electromagnetic field generated by an off‐axis source in a cylindrically layered medium with an arbitrary number of horizontal discontinuities

Geophysics ◽  
1993 ◽  
Vol 58 (5) ◽  
pp. 616-625 ◽  
Author(s):  
Qing‐Huo Liu
Keyword(s):  
Arbitrary Number ◽  
Electromagnetic Waves ◽  
Layered Medium ◽  
Azimuthal Angle ◽  
Well Logging ◽  
Transverse Magnetic ◽  
Numerical Results ◽  
Optical Fiber Communications ◽  
Eccentricity Effect ◽  
Large Eccentricity

We investigate the propagation of electromagnetic waves in a cylindrically layered medium with an arbitrary number of horizontal discontinuities. The dielectric constant, conductivity, and magnetic permeability of the medium are functions of ρ and z only (i.e., independent of the azimuthal angle ϕ), but the field generated by an off‐axis source in this medium is in general a function of ρ, ϕ, and z. This two and a half‐dimensional (2.5-D) problem is often encountered in electromagnetic well logging, as well as in other areas such as optical fiber communications and integrated optics. We show that a coupling exists between the transverse electric (TE) and transverse magnetic (TM) components of the field even in the absence of the horizontal discontinuities, which makes it difficult to solve for the field. We apply an efficient numerical mode‐matching (NMM) algorithm to tackle this 2.5-D problem. This algorithm uses the local reflection and transmission operators developed in the recent work on the diffraction of nonaxisymmetric waves in a cylindrically layered medium with a single horizontal discontinuity. For several special geometries, we compare the numerical results from this NMM algorithm with analytical solutions as well as the earlier numerical results for axisymmetric cases, and found excellent agreement between them. As an application to the geophysical subsurface sensing, we solve several practical problems, and find that a large eccentricity effect can occur in realistic electromagnetic well logging. Moreover, this large eccentricity effect is strongly coupled with thin‐bed effect. Conventional log interpretation methods cannot adequately account for these effects. With the NMM algorithm developed here, all these different effects can be accounted for simultaneously and accurately.

Excitation of Surface Electromagnetic Waves in Attenuated Total-Reflection Prism Configurations

1976 ◽  
Vol 37 (15) ◽  
pp. 993-997 ◽  
Author(s):  
W. P. Chen ◽  
G. Ritchie ◽  
E. Burstein
Keyword(s):  
Electromagnetic Waves ◽  
Total Reflection ◽  
Attenuated Total Reflection ◽  
Surface Electromagnetic Waves

Reflection of Electromagnetic Waves from Multiferroic TbMnO3

2012 ◽  
Vol 77 ◽  
pp. 225-230
Author(s):  
Igor V. Bychkov ◽  
Dmitry A. Kuzmin ◽  
Sergei J. Lamekhov ◽  
Leonid N. Butko ◽  
Vladimir G. Shavrov
Keyword(s):  
Reflection Coefficient ◽  
Electromagnetic Waves ◽  
Band Gaps ◽  
Electromagnetic Interactions ◽  
Coefficient Of Reflection

Reflection coefficient of electromagnetic waves from TbMnO3 surface with sinusoidal structure and permittivity are examined. Model of material with spin, elastic and electromagnetic interactions used. Resonance kind of reflection coefficient and of permittivity was shown. Found spectrum and reasoned existing of band-gaps in coefficient of reflection.

The propagation of electromagnetic waves in a stratified medium

1929 ◽  
Vol 25 (1) ◽  
pp. 97-120 ◽  
Author(s):  
D. R. Hartree
Keyword(s):  
Refractive Index ◽  
Reflection Coefficient ◽  
Electromagnetic Waves ◽  
Stratified Medium ◽  
Simple Extension ◽  
Angle Of Incidence ◽  
First Approximation ◽  
Special Cases ◽  
Cartesian Coordinate ◽  
The Given

The equations of propagation of electromagnetic waves in a stratified medium (i.e. a medium in which the refractive index is a function of one Cartesian coordinate only—in practice the height) are obtained first from Maxwell's equations for a material medium, and secondly from the treatment of the refracted wave as the sum of the incident wave and the wavelets scattered by the particles of the medium. The equations for the propagation in the presence of an external magnetic field are also derived by a simple extension of the second method.The significance of a reflection coefficient for a layer of stratified medium is discussed and a general formula for the reflection coefficient is found in terms of any two independent solutions of the equations of propagation in a given stratified medium.Three special cases are worked out, for waves with the electric field in the plane of incidence, viz.(1) A finite, sharply bounded, medium which is “totally reflecting” at the given angle of incidence.(2) Two media of different refractive index with a transition layer in which μ2 varies linearly from the value in one to the value in the other.(3) A layer in which μ2 is a minimum at a certain height and increases linearly to 1 above and below, at the same rate.For cases (2) and (3) curves are drawn showing the variation of reflection coefficient with thickness of the stratified layer.Case (3) may be of some importance as a first approximation to the conditions in the Heaviside layer.

Phase-Shift Measurement of Evanescent Electromagnetic Waves*

1971 ◽  
Vol 61 (8) ◽  
pp. 1035 ◽  
Author(s):  
C. K. Carniglia ◽  
L. Mandel
Keyword(s):  
Phase Shift ◽  
Electromagnetic Waves ◽  
Shift Measurement
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