Permittivity profile inversion of planar dispersive media from bandpass scattering data

2013 ◽  
Author(s):  
Ashutosh Kumar ◽  
M. Jaleel Akhtar
Keyword(s):  
Scattering Data ◽  
Dispersive Media ◽  
Profile Inversion

Three‐dimensional velocity profile inversion from finite‐offset scattering data

Geophysics ◽  
1981 ◽  
Vol 46 (6) ◽  
pp. 837-842 ◽  
Author(s):  
S. Raz
Keyword(s):  
Velocity Profile ◽  
Three Dimensional ◽  
Scattering Data ◽  
One Dimensional ◽  
Velocity Variations ◽  
Profile Inversion ◽  
Relationship Of ◽  
The Relationship

The reconstruction of three‐dimensional (3-D) velocity variations from finite‐offset scattering data is formulated. Reduction to the limiting cases of zero and small offset distances as well as the case of one‐dimensional (1-D) stratification is given. An inherent increase in complexity is cited and interpreted. The relationship of the proposed inversion to the F-K migration is discussed.

Entropy determination by scattering data

1994 ◽  
Vol 4 (8) ◽  
pp. 1289-1298
Author(s):  
S. Ciccariello ◽  
Y. Hassan
Keyword(s):  
Scattering Data

Bayesian Inversion of Seabed Scattering Data (Special Research Award in Ocean Acoustics)

2011 ◽  
Author(s):  
Gavin A. Steininger ◽  
Stan E. Dosso ◽  
Jan Dettmer ◽  
Charles W. Holland
Keyword(s):  
Scattering Data ◽  
Bayesian Inversion ◽  
Ocean Acoustics ◽  
Research Award

Bayesian Inversion of Seabed Scattering Data (Special Research Award in Ocean Acoustics)

2012 ◽  
Author(s):  
Gavin A. Steininger ◽  
Stan E. Dosso ◽  
Jan Dettmer ◽  
Charles W. Holland
Keyword(s):  
Scattering Data ◽  
Bayesian Inversion ◽  
Ocean Acoustics ◽  
Research Award

Pushing the Envelope

2018 ◽  
Author(s):  
Eaton E. Lattman ◽  
Thomas D. Grant ◽  
Edward H. Snell
Keyword(s):  
High Resolution ◽  
Electron Density ◽  
Structural Information ◽  
Hydration Shell ◽  
Three Dimensional ◽  
Scattering Data ◽  
Saxs Data ◽  
Electron Density Function ◽  
Angle Scattering ◽  
Iterative Structure

Direct electron density determination from SAXS data opens up new opportunities. The ability to model density at high resolution and the implicit direct estimation of solvent terms such as the hydration shell may enable high-resolution wide angle scattering data to be used to calculate density when combined with additional structural information. Other diffraction methods that do not measure three-dimensional intensities, such as fiber diffraction, may also be able to take advantage of iterative structure factor retrieval. While the ability to reconstruct electron density ab initio is a major breakthrough in the field of solution scattering, the potential of the technique has yet to be fully uncovered. Additional structural information from techniques such as crystallography, NMR, and electron microscopy and density modification procedures can now be integrated to perform advanced modeling of the electron density function at high resolution, pushing the boundaries of solution scattering further than ever before.

Quantities Directly Measurable by Scattering

2018 ◽  
Author(s):  
Eaton E. Lattman ◽  
Thomas D. Grant ◽  
Edward H. Snell
Keyword(s):  
Molecular Weight ◽  
Particle Shape ◽  
Particle Surface ◽  
Scattering Data ◽  
Radius Of Gyration ◽  
Particle Volume ◽  
Particle Surface Area ◽  
Scattering Angle ◽  
Particle Dimension ◽  
Maximum Particle

In this chapter we note that solution scattering data can be divided into four regions. At zero scattering angle, the scattering provides information on molecular weight of the particle in solution. Beyond that, the scattering is influenced by the radius of gyration. As the scattering angle increases, the scattering is influenced by the particle shape, and finally by the interface with the particle and the solution. There are a number of important invariants that can be calculated directly from the data including molecular mass, radius of gyration, Porod invariant, particle volume, maximum particle dimension, particle surface area, correlation length, and volume of correlation. The meaning of these is described in turn along with their mathematical derivations.

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