A numerical method to solve the inverse medium problem: an application to the Ipswich data. II

1999 ◽  
Vol 41 (1) ◽  
pp. 44-47 ◽  
Author(s):  
P. Maponi ◽  
F. Zirilli
Keyword(s):  
Numerical Method ◽  
Inverse Medium ◽  
Inverse Medium Problem

scholarly journals A globally convergent numerical method for a 1-d inverse medium problem with experimental data

2016 ◽  
Vol 10 (4) ◽  
pp. 1057-1085 ◽  
Author(s):  
Michael V. Klibanov ◽  
Loc H. Nguyen ◽  
Anders Sullivan ◽  
Lam Nguyen
Keyword(s):  
Experimental Data ◽  
Numerical Method ◽  
Globally Convergent ◽  
Inverse Medium ◽  
Inverse Medium Problem

scholarly journals Single measurement experimental data for an inverse medium problem inverted by a multi-frequency globally convergent numerical method

2017 ◽  
Vol 120 ◽  
pp. 176-196 ◽  
Author(s):  
Aleksandr E. Kolesov ◽  
Michael V. Klibanov ◽  
Loc H. Nguyen ◽  
Dinh-Liem Nguyen ◽  
Nguyen T. Thành
Keyword(s):  
Experimental Data ◽  
Numerical Method ◽  
Single Measurement ◽  
Globally Convergent ◽  
Inverse Medium ◽  
Inverse Medium Problem

Inversion of a seismic transmission response

Geophysics ◽  
2001 ◽  
Vol 66 (4) ◽  
pp. 1235-1239
Author(s):  
Enders A. Robinson
Keyword(s):  
Inverse Problems ◽  
Remote Detection ◽  
Inverse Source Problem ◽  
Reflection Seismology ◽  
Reflected Waves ◽  
Active Sonar ◽  
Transmitted Waves ◽  
Source Signal ◽  
Inverse Medium ◽  
Inverse Medium Problem

Traveling waves are used not only in exploration geophysics but also in other disciplines faced with remote detection problems. A physical system may be described in terms of the input (the source), the medium, and the output (the received signal). The received signal can be made up of either transmitted waves or reflected waves. Two types of inverse problems can be considered, namely, the inverse source problem and the inverse medium problem. In the inverse source problem, the objective is to determine the source. In the inverse medium problem, the objective is to determine the medium. Thus, in terms of this general classification, four types of problems can be encountered, namely, an inverse source problem with transmitted waves, an inverse source problem with reflected waves, an inverse medium problem with transmitted waves, and an inverse medium problem with reflected waves. Let us look at nature. Twinkle, twinkle, little star. The transmission of starlight though the atmosphere makes the star twinkle. A better image of the star can be obtained by solving an inverse source problem using the transmitted starlight. In the typical inverse source problem, the source of energy is remote, the medium transmits the source signal, and the received data are the transmitted waves. Examples are classical earthquake seismology, radio transmission, and passive sonar. Shakespeare said; “For the eye sees not by itself, but by reflection.” Thus the miracle of eyesight solves an inverse medium problem that uses reflected waves. In the typical inverse medium problem, the source of energy is local and often man‐made, the medium reflects the source signal, and the received data are the reflected waves. Examples are reflection seismology, radar, and active sonar. Thus, the two principle types of inverse problems encountered in nature are the inverse source problem with transmitted waves and the inverse medium problem with reflected waves.

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