Propagation of the measurement uncertainty in Fourier transform digital holographic interferometry
| Autor: | Ángel F. Doval, Cristina Trillo, J. Carlos López-Vázquez, José L. Fernández |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2016 |
| Předmět: |
02 engineering and technology
01 natural sciences 3311.11 Instrumentos Opticos 2209.07 Holografía 010309 optics Speckle pattern symbols.namesake Optics Electronic speckle pattern interferometry 0103 physical sciences 2214.02 Metrología Sample variance Mathematics Propagation of uncertainty business.industry Mathematical analysis General Engineering 021001 nanoscience & nanotechnology Holographic interferometry Atomic and Molecular Physics and Optics Fourier transform symbols Measurement uncertainty 0210 nano-technology business Digital holography |
| Zdroj: | Investigo. Repositorio Institucional de la Universidade de Vigo Universidade de Vigo (UVigo) |
| Popis: | 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. Ministerio de Ciencia e Innovación y Comisión Europea (FEDER) | Ref. DPI2011-26163 Universidad de Vigo | Ref. 14VI06 |
| Databáze: | OpenAIRE |
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