Multiwave tomography with reflectors: Landweber's iteration
Plamen Stefanov, Yang Yang
TL;DR
This paper investigates the application of Landweber's iterative method to multiwave tomography with reflectors, comparing its performance and convergence properties to the averaged time reversal method.
Contribution
It introduces the use of Landweber's iteration for multiwave tomography with reflectors and analyzes its convergence behavior and dependence on step size.
Findings
Landweber's method effectively reconstructs images in multiwave tomography with reflectors.
Convergence rate depends on the step size in the Landweber iteration.
Comparison shows advantages of Landweber's method over averaged time reversal.
Abstract
We use the Landweber method for numerical simulations for the multiwave tomography problem with a reflecting boundary and compare it with the averaged time reversal method. We also analyze the rate of convergence and the dependence on the step size for the Landweber iterations on a Hilbert space.
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Taxonomy
TopicsMicrowave Imaging and Scattering Analysis · Numerical methods in inverse problems · Seismic Imaging and Inversion Techniques