Download Digital Holography and Wavefront Sensing: Principles, by Ulf Schnars, Claas Falldorf, John Watson, Werner Jüptner PDF

By Ulf Schnars, Claas Falldorf, John Watson, Werner Jüptner

This e-book provides a self-contained therapy 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 snapshot velocimetry and underwater holography. a brand new bankruptcy now offers comprehensively and largely with computational wave box sensing. those suggestions signify a desirable replacement to plain interferometry and electronic Holography. they allow wave box sensing with no the requirement of a selected reference wave, hence permitting using low brilliance gentle resources or even liquid-crystal monitors (LCD) for interferometric applications.

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Additional resources for Digital Holography and Wavefront Sensing: Principles, Techniques and Applications

Sample text

Holes in the object surface. To avoid this and other difficulties several other, more sophisticated demodulation algorithms have been developed [121]. Finally it should be mentioned that the unwrapping procedure is always the same for all methods of metrology that generate saw-tooth like images. This means the various unwrapping algorithm developed for HI and other methods can be used also for Digital Holographic Interferometry, because this technique also generates modulo 2π-images (see Chap. 4).

In digital holography the interference pattern is recorded directly onto an electronic photosensor such as a CCD or CMOS array. The recorded interference pattern is the hologram. The original object wave is reconstructed by illuminating the hologram with the reference wave, Fig. 13. An observer sees a virtual image, which is optically indistinguishable from the original object. The reconstructed image exhibits all effects of perspective, parallax and depth-of-field. The holographic process is described mathematically using the formalism of Sect.

21) converts to Cðm; nÞ ¼  2 !   i 2p m n2 þ exp Ài d exp Àipkd N 2 Dx2 N 2 Dy2 kd k  ! N À1 X N À1 h p À X Ái km ln ERà ðk; lÞhðk; lÞ exp Ài  k 2 Dx2 þ l2 Dy2 exp i2p þ kd N N k¼0 l¼0 ð3:24Þ This is the discrete Fresnel transform. The matrix Γ is evaluated by multiplying ERà ðk; lÞ with h(k,l) and exp½Àip=ðkdÞðk2 Dx2 þ l2 Dy2 ފ, followed by application of an inverse discrete Fourier transform to the product. This calculation is accomplished most efficiently using the Fast Fourier Transform (FFT) algorithm.

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