scholarly journals Quasiconformal reflection coefficient and Fredholm eigenvalue of an ellipse of hyperbolic geometry

2004 ◽  
Vol 75 (89) ◽  
pp. 77-86
Author(s):  
Reiner Kuhnau
Keyword(s):  
Reflection Coefficient ◽  
Hyperbolic Geometry ◽  
Quasiconformal Reflection

Transformation of the quasiconformal reflection coefficient and of the Fredholm eigenvalue

2014 ◽  
Vol 21 (2) ◽  
Author(s):  
Reiner Kühnau
Keyword(s):  
Reflection Coefficient ◽  
Jordan Curve ◽  
Square Root ◽  
Root Transformation ◽  
Quasiconformal Reflection ◽  
Analytic Jordan Curve

Abstract.The behavior of the quasiconformal reflection coefficient and of the Fredholm eigenvalue of a plane analytic Jordan curve is studied under the square root transformation.

The method of determining the metrological performance of unit reference standards of reflection coefficient in waveguides at millimeter waves

2020 ◽  
pp. 59-63
Author(s):  
A.S. Bondarenko ◽  
A.S. Borovkov ◽  
I.M. Malay ◽  
V.A. Semyonov
Keyword(s):  
Reflection Coefficient ◽  
Millimeter Waves ◽  
Primary Standard ◽  
Reference Standards ◽  
Measurement Scale ◽  
Current State ◽  
Coefficient Measurement ◽  
Mathematical Equations ◽  
Electrodynamic Modeling ◽  
Metrological Performance

The analysis of the current state of the reflection coefficient measurements in waveguides at millimeter waves is carried out. An approach for solving the problem of reproducing the reflection coefficient measurement scale is proposed. Mathematical equations, which are the basis of the reflection coefficient measurement equation are obtained. The method of determining the metrological performance of reflection coefficient unit’s reference standards is developed. The results of electrodynamic modeling and analytical calculations by the developed method are compared. It is shown that this method can be used for reproducing the reflection coefficient unit in the development of the State primary standard.

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.

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