Statistical mechanics of phase unwrApplng problem by the Q-ising model

Y. Saika, H. Nishimori

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

We construct the statistical mechanical formulation for the problem of phase unwrApplng, appearing in adaptive optics. We estimate the performance of our method using the replica theory and the time-dependent Ginzburg Landau theory for the infinite-range model. The replica theory clarifies that our method works well if we select appropriate model of the prior. Then, the time-dependent Ginzburg Landau theory estimates the dynamical property of the simulated annealing. These results are qualitatively confirmed by the Monte Carlo simulations for the realistic model.

Original languageEnglish
Title of host publicationSlow Dynamics in Complex Systems
Subtitle of host publication3rd International Symposium on Slow Dynamics in Complex Systems
EditorsMichio Tokuyama, Irwin Oppenheim
PublisherAmerican Institute of Physics Inc.
Pages406-409
Number of pages4
ISBN (Electronic)0735401837
DOIs
Publication statusPublished - 2004 Apr 30
Externally publishedYes
Event3rd International Symposium on Slow Dynamics in Complex Systems - Sendai, Japan
Duration: 2003 Nov 32003 Nov 8

Publication series

NameAIP Conference Proceedings
Volume708
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Other

Other3rd International Symposium on Slow Dynamics in Complex Systems
CountryJapan
CitySendai
Period03/11/303/11/8

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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  • Cite this

    Saika, Y., & Nishimori, H. (2004). Statistical mechanics of phase unwrApplng problem by the Q-ising model. In M. Tokuyama, & I. Oppenheim (Eds.), Slow Dynamics in Complex Systems: 3rd International Symposium on Slow Dynamics in Complex Systems (pp. 406-409). (AIP Conference Proceedings; Vol. 708). American Institute of Physics Inc.. https://doi.org/10.1063/1.1764186