Solution of underdetermined electromagnetic and seismic problems by the maximum entropy method

Journal Article · Sun Mar 01 04:00:00 EST 1981 · IEEE Trans. Antennas Propag.; (United States)

DOI:https://doi.org/10.1109/TAP.1981.1142582· OSTI ID:6368136

Bevensee, R M

Many inversion problems require solution of a Fredholm integral equation of the form T(anti r) = integral DEL(anti r, anti r')sigma(anti r')dV', where T is the observable, DEL is an operator, and sigma is the unknown parameter distribution. Examples occur in the areas of radiation and scattering, tomography, and geotomography. Researchers reduce the equation to matrix form and apply a maximum entropy technique based on the first principle of data reduction to obtain a most probable sigma distribution. Researchers illustrate the technique by synthetic data examples of geotomography assuming straight rays, with and without noise. The examples show how sharp anomalies may be identified in grossly underdetermined situations. Researchers outline the algorithm used and describe some computational properties. Our method suggests a way of overcoming the ill-conditioned nature of Fredholm integral equation inversion.

• Research Organization: Lawrence Livermore National Lab., CA
• DOE Contract Number: W-7405-ENG-48
• OSTI ID: 6368136
• Journal Information: IEEE Trans. Antennas Propag.; (United States), Journal Name: IEEE Trans. Antennas Propag.; (United States) Vol. AP-29:2; ISSN IETPA
• Country of Publication: United States
• Language: English

Related Subjects

58 GEOSCIENCES
580203* -- Geophysics-- Geophysical Survey Methods-- (1980-1989)
DATA ANALYSIS
DIAGNOSTIC TECHNIQUES
ELECTRICAL SURVEYS
ELECTROMAGNETIC SURVEYS
ENTROPY
EQUATIONS
FREDHOLM EQUATION
GEOPHYSICAL SURVEYS
INTEGRAL EQUATIONS
INVERSE SCATTERING PROBLEM
PHYSICAL PROPERTIES
SURVEYS
THERMODYNAMIC PROPERTIES
THERMODYNAMICS
TOMOGRAPHY