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Propagation of the measurement uncertainty in Fourier transform digital holographic interferometry

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Show simple item record Fernández Doval, Ángel Manuel Trillo Yáñez, María Cristina López Vázquez, José Carlos Fernández Fernández, José Luis 2017-01-10T08:16:48Z 2017-01-10T08:16:48Z 2016-06-30
dc.identifier.citation Optical Engineering, 55(12): 121709 (2016) spa
dc.identifier.issn 00913286
dc.description.abstract The derivation of expressions to evaluate the local standard uncertainty of the complex amplitude of the numerically reconstructed field as well as of the phase-change measurements resulting from Fourier- and quasi-Fourier transform digital holographic interferometry is presented. Applying the law of propagation of uncertainty, as defined in the “Guide to the expression of uncertainty in measurement,” to the digital reconstruction of holograms by Fourier transformation and to the subsequent calculation of the phase change between two such reconstructions results in a set of expressions, which allow the evaluation of the uncertainties of the complex amplitude and of the phase change at every pixel of the reconstruction in terms of the measured values and their standard uncertainty in the pixels of the original digital holograms. These expressions are increasingly simplified by first assuming a linear dependence between the squared uncertainty and the local value of the original holograms, and then considering that the object beam is a speckle pattern. We assess the behavior of the method by comparing the predicted standard uncertainty with the sample variance obtained from experiments conducted under repeatability conditions, and find a good agreement between both quantities. spa
dc.description.sponsorship Ministerio de Ciencia e Innovación y Comisión Europea (FEDER) | Ref. DPI2011-26163 spa
dc.description.sponsorship Universidad de Vigo | Ref. 14VI06 spa
dc.language.iso eng spa
dc.publisher Optical Engineering spa
dc.title Propagation of the measurement uncertainty in Fourier transform digital holographic interferometry spa
dc.type article spa
dc.rights.accessRights openAccess spa
dc.identifier.doi 10.1117/1.OE.55.12.121709
dc.identifier.editor spa
dc.publisher.departamento Física aplicada spa
dc.publisher.grupoinvestigacion Grupo de Metroloxía Óptica spa
dc.subject.unesco 3311.11 Instrumentos Opticos spa
dc.subject.unesco 2209.07 Holografía spa
dc.subject.unesco 2214.02 Metrología spa 2017-01-09T18:11:59Z

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