Fast algorithms for nonlinear and constrained phase retrieval in near-field X-ray holography based on Tikhonov regularization

S Huhn, LM Lohse, J Lucht, T Salditt - Optics Express, 2022 - opg.optica.org
Based on phase retrieval, lensless coherent imaging and in particular holography offers
quantitative phase and amplitude images. This is of particular importance for spectral ranges …

Retrieval of acoustic sources from multi-frequency phaseless data

D Zhang, Y Guo, J Li, H Liu - Inverse Problems, 2018 - iopscience.iop.org
This paper is concerned with the inverse source problem of reconstructing an unknown
acoustic excitation from phaseless measurements of the radiated fields away at multiple …

Uniqueness in inverse scattering problems with phaseless far-field data at a fixed frequency

X Xu, B Zhang, H Zhang - SIAM Journal on Applied Mathematics, 2018 - SIAM
This paper is concerned with uniqueness in inverse acoustic scattering with phaseless far-
field data at a fixed frequency. The main difficulty of this problem is the so-called translation …

Fast imaging of scattering obstacles from phaseless far-field measurements at a fixed frequency

B Zhang, H Zhang - Inverse Problems, 2018 - iopscience.iop.org
This paper is concerned with the inverse obstacle scattering problem with phaseless far-field
data at a fixed frequency. The main difficulty of this problem is the so-called translation …

[PDF][PDF] Unique determinations in inverse scattering problems with phaseless near-field measurements.

D Zhang, Y Guo, F Sun, H Liu - Inverse Problems & Imaging, 2020 - researchgate.net
In this paper, we establish the unique determination results for several inverse acoustic
scattering problems using the modulus of the near-field data. By utilizing the superpositions …

Uniqueness in inverse scattering problems with phaseless far-field data at a fixed frequency. II

X Xu, B Zhang, H Zhang - SIAM Journal on Applied Mathematics, 2018 - SIAM
This paper is concerned with uniqueness in inverse acoustic scattering with phaseless far-
field data at a fixed frequency. In our previous work SIAM J. Appl. Math., 78 (2018), pp. 1737 …

Inverse Source Problem of the Biharmonic Equation from Multifrequency Phaseless Data

Y Chang, Y Guo, Y Zhao - SIAM Journal on Scientific Computing, 2024 - SIAM
This work deals with an inverse source problem for the biharmonic wave equation. A two-
stage numerical method is proposed to identify the unknown source from the multifrequency …

[图书][B] Geometry of the Phase Retrieval Problem: Graveyard of Algorithms

AH Barnett, CL Epstein, L Greengard, J Magland - 2022 - books.google.com
Recovering the phase of the Fourier transform is a ubiquitous problem in imaging
applications from astronomy to nanoscale X-ray diffraction imaging. Despite the efforts of a …

Geometry of the phase retrieval problem

AH Barnett, CL Epstein, LF Greengard… - Inverse …, 2020 - iopscience.iop.org
One of the most powerful approaches to imaging at the nanometer length scale is coherent
diffraction imaging using x-ray sources. For amorphous (non-crystalline) samples, raw data …

Uniqueness in inverse cavity scattering problems with phaseless near-field data

D Zhang, Y Wang, Y Guo, J Li - Inverse Problems, 2020 - iopscience.iop.org
This paper is concerned with the uniqueness of an inverse acoustic scattering problem for
cavities with the modulus of the near-fields. With the aid of the reference ball technique and …