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

Pierre Slangen (1) , Mayssa Karray (2) , Pascal Picart (2)

1 LGEI - Laboratoire de Génie de l'Environnement Industriel
2 LAUM - Laboratoire d'Acoustique de l'Université du Mans

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.

Mots clés: speckle interferometry; digital holography; spatial carrier frequency; Fourier transform; Fresnel transform

Domaines: Optique [physics.optics]

Pierre Slangen, Mayssa Karray, Pascal Picart. Some figures of merit so as to compare digital Fresnel holography and speckle interferometry. SPIE Optical Metrology, May 2011, Munich, France. pp.808205, ⟨10.1117/12.890865⟩. ⟨hal-02012143⟩