A simple method for measuring the random variation of an interferometer

Picart, Pascal; Mercier, Raymond; Lamare, Michel; Breteau, Jean‐Marc

doi:10.1088/0957-0233/12/8/344

Cited by 5 publications

(6 citation statements)

References 17 publications

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“…The fringe maps obtained for point 3 (near zero-crossing) and point 5 (second lobe) reveal good quality. This qualitative analysis is confirmed by a quantitative measurement of the noise rms and speckle correlation factor [24,26]. Figure 7 shows the noise rms and the correlation factor |µ| of Eq.…”

Section: Resultssupporting

confidence: 60%

“…Thus, the study of the influence of the noise induced by the out-of-Shannon recording can be investigated for the phase change measurement. Noise can be measured according to [26]. The subtraction of the low-pass filtered phase difference from the raw phase difference leads to an estimation of the standard deviation of the noise included in the raw data.…”

Section: Experimental Set-up and Methodologymentioning

confidence: 99%

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Digital Fresnel holography beyond the Shannon limits

Leclercq¹,

Picart²

2012

Opt. Express

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This paper presents a detailed analysis of the influence of the pixel dimension in digitally-recorded holograms. The investigation is based on both theoretical and experimental viewpoints for recordings beyond the Shannon limits. After discussing the pixel paradox, the sinc amplitude modulation is experimentally demonstration. The experimental analysis is well correlated to the theoretical basics; in addition, the filling factor of the sensor can be estimated. The analysis of the phase changes of the object show that they can be obtained with a very good contrast and that they are only limited by the decorrelation noise, as when the Shannon conditions are fulfilled.

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Section: Resultssupporting

confidence: 60%

Section: Experimental Set-up and Methodologymentioning

confidence: 99%

Digital Fresnel holography beyond the Shannon limits

Leclercq¹,

Picart²

2012

Opt. Express

Self Cite

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“…The measurement of equation 22can be performed according to [39]. The subtraction of the low-pass filtered phase difference from the raw phase difference leads to an estimation of the standard deviation of the noise included in the raw data.…”

Section: Influence Of Speckle Decorrelationmentioning

confidence: 99%

Comparison between Digital Fresnel Holography and Digital Image-Plane Holography: The Role of the Imaging Aperture

2012

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Optical techniques are now broadly used in the field of experimental mechanics. The main advantages are they are non intrusive and no contact. Moreover optical techniques lead to full spatial resolution displacement maps enabling the computing of mechanical value also in high spatial resolution. For mesoscopic measurements, digital image correlation can be used. Digital holographic interferometry is well suited for quantitative measurement of very small displacement maps on the microscopic scale. This paper presents a detailed analysis so as to compare digital Fresnel holography and digital image-plane holography. The analysis is based on both theoretical and experimental analysis. Particularly, a theoretical analysis of the influence of the aperture and lens in the case of image-plane holography is proposed. Optimal filtering and image recovering conditions are thus established. Experimental results show the appropriateness of the theoretical analysis.

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“…The measurement of eq. 23 can be performed according to 46 . The subtraction of the low-pass filtered phase difference from the raw phase difference leads to an estimation of the standard deviation of the noise included in the raw data.…”

Section: Influence Of Speckle Decorrelationmentioning

confidence: 99%

“…Raw phase maps are filtered by a moving-average filter sized 5×5 pixels 41 . The moving-average filter used to study the decorrelation noise according to the method described in 46 is sized n×n=7×7 pixels, leading to σ ε =σ Δ /0.989. The image amplitude obtained in Figure 3b is quite similar to that of Figure 3c.…”

Section: Experimental Parametersmentioning

confidence: 99%

Some figures of merit so as to compare digital Fresnel holography and speckle interferometry

2011

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This paper presents a detailed analysis of figures of merit to compare digital Fresnel holography and speckle interferometry. The analysis is based on both theoretical and experimental analyses. A theoretical analysis of the influence of the aperture and lens in the case of speckle interferometry is developed. Compared to digital Fresnel holography, this element is a critical point influencing Shannon conditions, spatial resolution, spatial filtering and photometric efficiency. Optimal filtering and image recovering conditions are thus established. The theoretical analysis is validated by experimental results. The influence of the speckle decorrelation is estimated for the measurement of mechanical deformations. The same mechanical loading has been applied for both experimental configurations. The probability density of the noise map is then estimated. Fitting the curves along the theoretical analysis results in an objective comparison of the decorrelation degrees, and gives keys to compare the decorrelation sensitivity of the methods.

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A simple method for measuring the random variation of an interferometer

Cited by 5 publications

References 17 publications

Digital Fresnel holography beyond the Shannon limits

Digital Fresnel holography beyond the Shannon limits

Comparison between Digital Fresnel Holography and Digital Image-Plane Holography: The Role of the Imaging Aperture

Some figures of merit so as to compare digital Fresnel holography and speckle interferometry

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