By Ulf Schnars, Claas Falldorf, John Watson, Werner Jüptner
This publication offers a self-contained remedy of the rules and significant purposes of electronic hologram recording and numerical reconstruction (Digital Holography). This moment version 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 largely with computational wave box sensing. those innovations symbolize a desirable substitute to plain interferometry and electronic Holography. they allow wave box sensing with out the requirement of a selected reference wave, therefore permitting using low brilliance mild assets or even liquid-crystal monitors (LCD) for interferometric applications.
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Extra resources for Digital Holography and Wavefront Sensing: Principles, Techniques and Applications
Sample text
7 Reconstruction Fig. 8 Masked digital hologram Eq. 23) corresponds to the diffraction limited resolution of an optical system. The hologram corresponds to the aperture of the optical system with a side of length NDx; a diffraction pattern develops at a distance d behind the hologram. The term Dn ¼ kd=NDx therefore describes the half-diameter of the Airy disk or the speckle diameter in the plane of the reconstructed image, accordingly, limits the resolution. 2 Numerical Reconstruction 49 Fig. 9 Reconstruction This can be regarded as a “natural scaling” algorithm, setting the resolution of the image reconstructed by a discrete Fresnel transform always to the physical limit.
However, this requires higher experimental effort due to the additional measurements needed.
77) describes the relation between the intensity of the interference pattern and the interference phase, which contains the information about the physical quantity to be measured (object displacement, refractive index change or object shape). In general it is not possible to calculate Δφ directly from the measured intensity, because the parameters A(x, y) and B(x, y) are not known. In addition the cosine is an even function (cos 30° = cos −30°) and the sign of Δφ cannot be determined unambiguously.