About: Phase retrieval

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Phase retrieval is the process of algorithmically finding solutions to the phase problem. Given a complex signal , of amplitude , and phase : where x is an M-dimensional spatial coordinate and k is an M-dimensional spatial frequency coordinate. Phase retrieval consists of finding the phase that satisfies a set of constraints for a measured amplitude. Important applications of phase retrieval include X-ray crystallography, transmission electron microscopy and coherent diffractive imaging, for which . Uniqueness theorems for both 1-D and 2-D cases of the phase retrieval problem, including the phaseless 1-D inverse scattering problem, were proven by Klibanov and his collaborators (see References).

Attributes	Values
rdfs:label	Phase retrieval (en) Recuperação de fase (pt)
rdfs:comment	Phase retrieval is the process of algorithmically finding solutions to the phase problem. Given a complex signal , of amplitude , and phase : where x is an M-dimensional spatial coordinate and k is an M-dimensional spatial frequency coordinate. Phase retrieval consists of finding the phase that satisfies a set of constraints for a measured amplitude. Important applications of phase retrieval include X-ray crystallography, transmission electron microscopy and coherent diffractive imaging, for which . Uniqueness theorems for both 1-D and 2-D cases of the phase retrieval problem, including the phaseless 1-D inverse scattering problem, were proven by Klibanov and his collaborators (see References). (en) Recuperação de fase diz respeito à solução para o problema da fase. Dado um sinal complexo , de amplitude , e fase : , a recuperação de fase consiste em encontrar a fase que, para uma amplitude medida, satisfaz um conjunto de restrições. O problema da recuperação de fase surge em aplicações da teoria eletromagnética em que a fase da onda é aparentemente perdida ou difícil de ser medida e somente dados de intensidade estão disponíveis. Por exemplo se é a transformada de Fourier de , uma restrição típica seria que é uma função limitada real e positiva. (pt)
foaf:depiction
dct:subject	Mathematical chemistry Inverse problems Crystallography Mathematical physics
Wikipage page ID	11081803 (xsd:integer)
Wikipage revision ID	1117028984 (xsd:integer)
Link from a Wikipage to another Wikipage	Algorithm Hubble Space Telescope Degeneracy (mathematics) Lens Mathematical chemistry Gaussian function Crystallography Complex conjugate Phase problem Transport-of-Intensity Equation Feedback Fourier transform Diffraction Gerchberg–Saxton algorithm Phase correlation Inverse problems Crystallography Mathematical physics Coherent diffraction imaging Transmission electron microscopy Discrete Fourier transform X-ray crystallography Convergence (mathematics) Coherent diffractive imaging
sameAs	Phase retrieval Phase retrieval Phase retrieval Phase retrieval
dbp:wikiPageUsesTemplate	dbt:Cite_journal dbt:Clarify dbt:Main dbt:Reflist dbt:Short_description
thumbnail	wiki-commons:Special:FilePath/GS-diagram.png?width=300
has abstract	Phase retrieval is the process of algorithmically finding solutions to the phase problem. Given a complex signal , of amplitude , and phase : where x is an M-dimensional spatial coordinate and k is an M-dimensional spatial frequency coordinate. Phase retrieval consists of finding the phase that satisfies a set of constraints for a measured amplitude. Important applications of phase retrieval include X-ray crystallography, transmission electron microscopy and coherent diffractive imaging, for which . Uniqueness theorems for both 1-D and 2-D cases of the phase retrieval problem, including the phaseless 1-D inverse scattering problem, were proven by Klibanov and his collaborators (see References). (en) Recuperação de fase diz respeito à solução para o problema da fase. Dado um sinal complexo , de amplitude , e fase : , a recuperação de fase consiste em encontrar a fase que, para uma amplitude medida, satisfaz um conjunto de restrições. O problema da recuperação de fase surge em aplicações da teoria eletromagnética em que a fase da onda é aparentemente perdida ou difícil de ser medida e somente dados de intensidade estão disponíveis. Por exemplo se é a transformada de Fourier de , uma restrição típica seria que é uma função limitada real e positiva. A mais importante aplicação da recuperação de fase é a cristalografia de raios X, vencedora de vários Prêmios Nobel. (pt)
prov:wasDerivedFrom	wikipedia-en:Phase_retrieval?oldid=1117028984&ns=0
page length (characters) of wiki page	16968 (xsd:nonNegativeInteger)
foaf:isPrimaryTopicOf	wikipedia-en:Phase_retrieval
is Link from a Wikipage to another Wikipage of	Defocus aberration John Rodenburg Vlad Voroninski Index of physics articles (P) The Institute of Optics Convergent-beam electron diffraction Phase-contrast X-ray imaging Computational photography Phase problem Irène Waldspurger Launch and commissioning of the James Webb Space Telescope Alum European XFEL Fractional Fourier transform Fourier ptychography Gerchberg–Saxton algorithm Phase correlation James Webb Space Telescope Hybrid input-output algorithm Ptychography Transmission electron microscopy Transport-of-intensity equation Photoemission orbital tomography Phase-contrast imaging
is known for of	Irène Waldspurger
is known for of	Vlad Voroninski Irène Waldspurger
is foaf:primaryTopic of	wikipedia-en:Phase_retrieval

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