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Propagation of the measurement uncertainty for the numerical reconstruction of holograms in Fresnel approximation

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dc.contributor.author Fernández Doval, Ángel Manuel
dc.contributor.author Trillo Yáñez, María Cristina
dc.contributor.author López Vázquez, José Carlos
dc.contributor.author Fernández Fernández, José Luis
dc.contributor.editor SPIE spa
dc.date.accessioned 2018-12-03T10:53:55Z
dc.date.available 2018-12-03T10:53:55Z
dc.date.issued 2018-09-07
dc.identifier.isbn 9781510622975
dc.identifier.isbn 9781510622982
dc.identifier.uri http://hdl.handle.net/11093/1088
dc.description.abstract This communication presents a set of expressions to evaluate the standard uncertainty and covariance of the real an imaginary parts of the complex-valued field resulting from the reconstruction of digital holograms by using the Fresnel approximation. These expressions are derived by applying the law of propagation of uncertainty as defined in the “Guide to the expression of uncertainty in measurement” to the numerical evaluation of the Fresnel integral, understood as a linear function of the values in the digital hologram. The expressions are eventually applied to holograms produced by the interference of speckle patterns with uniform reference beams, and assuming that the square of the standard uncertainty in the digitized hologram depends linearly with its local values, according to the noise model adopted in the EMVA 1288 camera characterization standard. The resulting uncertainties and covariance of the real and imaginary parts of the reconstructed fields can be subsequently propagated to measurements of the phase change between holograms by following the procedure already presented in our previous work on the propagation of the measurement uncertainty in Fourier-transform digital holographic interferometry. spa
dc.language.iso eng spa
dc.title Propagation of the measurement uncertainty for the numerical reconstruction of holograms in Fresnel approximation spa
dc.type conferenceObject spa
dc.rights.accessRights openAccess spa
dc.identifier.doi 10.1117/12.2318661
dc.identifier.editor https://www.spiedigitallibrary.org/conference-proceedings-of-spie/10834/2318661/Propagation-of-the-measurement-uncertainty-for-the-numerical-reconstruction-of/10.1117/12.2318661.full spa
dc.publisher.departamento Física aplicada spa
dc.conferenceObject.type Comunicación extensa internacional spa
dc.identifier.conferenceObject SPECKLE 2018: VII International Conference on Speckle Metrology, Janów Podlaski, Polonia, 10-12 septiembre 2018 spa
dc.identifier.conference https://convention.home.pl/autoinstalator/wordpress5/ spa
dc.subject.unesco 3311.11 Instrumentos Opticos spa
dc.subject.unesco 2209.07 Holografía spa
dc.subject.unesco 2214.02 Metrología spa
dc.date.updated 2018-11-30T22:54:46Z


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