New results for the effective propagation constants of nonuniform plane waves at the planar interface of two lossy media

2003 ◽  
Vol 51 (6) ◽  
pp. 1206-1215 ◽  
Author(s):  
J.E. Roy
Keyword(s):  
Plane Waves ◽  
Planar Interface ◽  
Lossy Media

Reflection and Transmission of Plane Waves at the Planar Interface of a General Uniaxial Medium and Free Space

1991 ◽  
Vol 38 (4) ◽  
pp. 649-657 ◽  
Author(s):  
Akhlesh Lakhtakia ◽  
Vijay K. Varadan ◽  
Vasundara V. Varadan
Keyword(s):  
Free Space ◽  
Plane Waves ◽  
Planar Interface ◽  
Reflection And Transmission

scholarly journals Notes on reflection and refraction of evanescent plane waves on the boundary between gainy/lossy media

2020 ◽  
Vol 71 (4) ◽  
pp. 227-236
Author(s):  
Jozefa Červeňová ◽  
Rastislav Dosoudil ◽  
Jaroslav Franek ◽  
L’ubomír Šumichrast
Keyword(s):  
Plane Wave ◽  
Plane Waves ◽  
Planar Boundary ◽  
Reflection And Transmission ◽  
Reflection And Refraction ◽  
Dielectric Media ◽  
Homogeneous Plane ◽  
Lossy Media

AbstractReflection and transmission (refraction) of a homogeneous plane wave at the planar boundary of two dielectric media is a well known phenomenon commonly treated in nearly all standard textbooks. Here the analysis of reflection and refraction of evanescent plane waves on the planar boundary between various combinations of lossy, gainy and lossless media is performed. It is shown that by the appropriate choice of the profile of evanescence various effects can take place.

Transient response from a planar acoustic interface by a new point‐source decomposition into plane waves

Geophysics ◽  
1985 ◽  
Vol 50 (5) ◽  
pp. 766-774 ◽  
Author(s):  
Peter Hubral ◽  
Martin Tygel
Keyword(s):  
Point Source ◽  
Wave Field ◽  
Plane Waves ◽  
Planar Interface ◽  
Integration Limit ◽  
Inhomogeneous Plane ◽  
Homogeneous Plane ◽  
Acoustic Interface ◽  
New Formula ◽  
Inhomogeneous Plane Waves

For the wave field of a point source in full space there currently exist two classical decompositions into plane waves. The wave field can be decomposed into either (a) homogeneous and horizontally propagating (vertically attenuated) inhomogeneous plane waves by using the so‐called Sommerfeld‐Weyl integral, or (b) upgoing and downgoing homogeneous plane waves only using the Whittaker integral. Transient representations of both integrals exist. We propose a new decomposition integral that has a greater flexibility than both classical decompositions. Solutions for the point‐source reflection/transmission response from a planar interface, if based on the Sommerfeld‐Weyl integral, have for instance inherently an infinite integration limit. With the new formula, by which the wave field of a transient point source is decomposed into upgoing and downgoing homogeneous as well as horizontally propagating inhomogeneous transient plane waves, the point‐source response is directly obtained in the form of an integral with a finite integration limit. It can also be interpreted in terms of certain plane waves by which the point source is simulated in a new manner. For that matter, solutions based on the new integral readily reveal the “evanescent” or “nonray” character of the point source. The new formula may be considered an extension of the Sommerfeld‐Weyl or Whittaker integral. It can be used to compute reflection/transmission responses in a compact form in situations where the Sommerfeld‐Weyl integral was hitherto considered fundamental.

scholarly journals Electromagnetic Reflection from Multi-Layered Models

1975 ◽  
Vol 15 (73) ◽  
pp. 462 ◽  
Author(s):  
William I. Linlor
Keyword(s):  
Water Resource Management ◽  
Plane Waves ◽  
Electromagnetic Response ◽  
Flood Prediction ◽  
Incident Plane ◽  
Arbitrary Thickness ◽  
Physical Attributes ◽  
Lossy Media ◽  
Practical Nature ◽  
Layered Models

The remote sensing of snowpack depth, density, and wetness with an airborne system would have important applications in water resource management and flood prediction. In this paper, the electromagnetic response of multi-layered models is analyzed. Normally-incident plane waves are assumed at frequencies ranging from 106 to 1010 Hz, and reflection amplitudes are calculated for models having various layer combinations. Each layer can have arbitrary thickness, and its own dielectric constant and conductivity, each of which can vary with frequency. Thus “lossy” media as well as “perfect” dielectrics can be employed in the models. An outline of the theory for the calculations is presented for an n-layered model. Because of the complexity of the equations, interpretation is accomplished by illustrative models, selected from seven snow types and seven earth types. The objective of this type of calculation is to establish the dependence of the reflection coefficient on the impedance transitions between two half-spaces. This paper is a theoretical study only, and does not include consideration of the size, weight, estimated cost, and other physical attributes of a flight system. These, and other matters of a practical nature, are being treated in other papers. A revised version of this paper is being published in full in another issue of the Journal of Glaciology.

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