Calculation of the spectral and energy characteristics of the reflected waves for the purpose of solving the inverse problem of remote sensing

2016 ◽  
Author(s):  
V. Yu. Karaev ◽  
Yu. A. Titchenko
Keyword(s):  
Remote Sensing ◽  
Inverse Problem ◽  
Energy Characteristics ◽  
Reflected Waves

Reflection of a longitudinal travelling wave from the notch in a rod plunged into viscous liquid

2010 ◽  
Vol 7 ◽  
pp. 129-142
Author(s):  
M.A. Ilgamov ◽  
A.G. Khakimov
Keyword(s):  
Inverse Problem ◽  
Viscous Liquid ◽  
Travelling Wave ◽  
Observation Point ◽  
Reflected Waves ◽  
Damping Characteristics ◽  
Deformed State ◽  
Using Data ◽  
Surrounding Liquid

The article investigates the reflection of a longitudinal damped travelling wave from the transverse notch and its movement along an infinite rod plunged into viscous liquid. The simplest model for the stress deformed state in the notch zone is applied. The solution is found to depend on the parameters of the liquid and damping characteristics in the material of the rod and the surrounding liquid. The solution to the inverse problem makes it possible to define the coordinate of the notch and the parameter that contains its depth and length using data on both the incident and reflected waves at the observation point.

Reflection of a longitudinal travelling wave from the notch in a rod

2007 ◽  
Vol 5 ◽  
pp. 212-220 ◽  
Author(s):  
M.A. Ilgamov ◽  
A.G. Khakimov
Keyword(s):  
Inverse Problem ◽  
Longitudinal Wave ◽  
Travelling Wave ◽  
Observation Point ◽  
Reflected Waves ◽  
Reflected Wave ◽  
Using Data

This article investigates the reflection of a longitudinal wave from the transverse notch and its movement along an infinite rod. The dependence is obtained between the reflected wave and parameters of the notch. The statement of the inverse problem allows defining the coordinate of the notch and the parameter that contains its depth and length using data on both the incident and reflected waves at the observation point.

scholarly journals An optimal approach to the inverse problem

1988 ◽  
Vol 123 ◽  
pp. 129-132
Author(s):  
W. Jeffrey ◽  
R. Rosner
Keyword(s):  
Remote Sensing ◽  
Inverse Problem ◽  
Optimization Problem ◽  
Solution Process ◽  
Optimization Theory ◽  
Global Optimization Problem ◽  
Inversion Problem ◽  
Global Extremum ◽  
Local Extrema ◽  
Optimal Approach

We describe how remote sensing problems can be reformulated within the framework of optimization theory. This reformulation allows any prior knowledge about the solution to be naturally incorporated into the solution process. The inversion problem then reduces to a search for the global extremum in the possible presence of local extrema. Two algorithms are presented that can be used to solve this global optimization problem, and their application to the helioseismology inverse problem is detailed.

Inverse problem in air-saturated porous media via reflected waves

2003 ◽  
Vol 74 (5) ◽  
pp. 2871-2879 ◽  
Author(s):  
Z. E. A. Fellah ◽  
S. Berger ◽  
W. Lauriks ◽  
C. Depollier ◽  
J. Y. Chapelon
Keyword(s):  
Inverse Problem ◽  
Porous Media ◽  
Saturated Porous Media ◽  
Reflected Waves
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