By Ulf Schnars, Claas Falldorf, John Watson, Werner Jüptner
This publication provides a self-contained remedy of the foundations and significant purposes of electronic hologram recording and numerical reconstruction (Digital Holography). This moment variation has been considerably revised and enlarged. The authors have prolonged the bankruptcy on electronic Holographic Microscopy to include new sections on particle sizing, particle picture velocimetry and underwater holography. a brand new bankruptcy now bargains comprehensively and commonly with computational wave box sensing. those innovations characterize a desirable replacement to straightforward interferometry and electronic Holography. they allow wave box sensing with no the requirement of a specific reference wave, hence permitting using low brilliance gentle assets or even liquid-crystal screens (LCD) for interferometric applications.
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Additional info for Digital Holography and Wavefront Sensing: Principles, Techniques and Applications
Most speckles are black. The standard deviation rI is calculated by rI ¼ hI i ð2:52Þ That means the intensity variations are in the same order as the mean value. The usual deﬁnition of the contrast of the speckle pattern is V¼ rI hI i ð2:53Þ The contrast of a speckle pattern is therefore always unity. One can distinguish between objective and subjective speckle formation. An objective speckle pattern develops on a screen, located in a distance z from the illuminated surface, Fig. 10. There is no imaging system between the surface and the screen.
One can distinguish between objective and subjective speckle formation. An objective speckle pattern develops on a screen, located in a distance z from the illuminated surface, Fig. 10. There is no imaging system between the surface and the screen. The size of an individual speckle in an objective speckle pattern can be estimated using the spatial frequency formula of Eq. 30). The two edge points of the illuminated surface form the highest spatial frequency given as, 2 hmax L % fmax ¼ sin k kz 2 ð2:54Þ The reciprocal of fmax is a measure for the speckle size; and hence the diameter of the speckle is, Fig.
Phase due to deformation in Sect. 2. The same approximation is used and these vectors are replaced by a common unit vector: ~ s2 ¼ ~ s s1 ¼ ~ ð2:92Þ ! ! ~ p ¼ SP À S0 P ð2:93Þ Furthermore, is introduced as a vector from S to S′. The optical path difference is then given by d ¼~ p~ s ð2:94Þ Fig. 7 Holographic Interferometry 33 Fig. 21 Two-wavelength contour fringes Fig. 22 Two-illumination point contouring S' s2 Illumination points p S s1 P Hologram B Observation point Object The corresponding phase change is: Du ¼ 2p ~ p~ s k ð2:95Þ 34 2 Fundamental Principles of Holography The object surface is intersected by fringes which consist of a set of hyperboloids.