Related Experiment Video
Updated: May 29, 2025

Scattering And Absorption of Light in Planetary Regoliths
Published on: July 1, 2019
Computational inverse scattering with internal sources: A reproducing kernel Hilbert space approach
Yakun Dong1, Kamran Sadiq2, Otmar Scherzer3
1University of Vienna, Faculty of Mathematics, Oskar-Morgenstern-Platz 1, A-1090 Vienna, Austria.
Abstract:
We present a method to reconstruct the dielectric susceptibility (scattering potential) of an inhomogeneous scattering medium, based on the solution to the inverse scattering problem with internal sources. We consider a scalar model of light propagation in the medium. We employ the theory of reproducing kernel Hilbert spaces, together with regularization to recover the susceptibility of two- and three-dimensional scattering media. Numerical examples illustrate the effectiveness of the proposed reconstruction method.
Related Concept Videos
Reconstruction of Signal using Interpolation
Area Computation by the Alternative Coordinate Method
One-Compartment Open Model: Wagner-Nelson and Loo Riegelman Method for ka Estimation
On...
Convolution: Math, Graphics, and Discrete Signals
To simplify the convolution integral, it is assumed that both the input signal and impulse response are zero for negative time values. The graphical convolution process...
Inverse z-Transform by Partial Fraction Expansion
To begin the process, the poles of the function are identified and the function is...
Deconvolution
Deconvolution involves several mathematical techniques to derive the impulse response. One common approach is polynomial division. In this method, the input and output sequences are treated as coefficients of...

