English

Phase retrieval by power iterations

Optics 2012-12-04 v1 Optimization and Control

Abstract

I show that the power iteration method applied to the phase retrieval problem converges under special conditions. One is given the relative phases between small non-overlapping groups of pixels of a recorded intensity pattern, but no information on the phase between the groups of pixels. Numerical tests show that the inverse block iteration recovers the solution in 1 iteration.

Keywords

Cite

@article{arxiv.1212.0510,
  title  = {Phase retrieval by power iterations},
  author = {Stefano Marchesini},
  journal= {arXiv preprint arXiv:1212.0510},
  year   = {2012}
}

Comments

4 pages, 6 figures

R2 v1 2026-06-21T22:48:05.396Z