Holography: A Practical Approach by Gerhard K. Ackermann, Jürgen Eichler

By Gerhard K. Ackermann, Jürgen Eichler

From basics to complicated experiments and functions, this ebook explains how holography works. It courses scholars from basic optics to complex issues in holography, following a pragmatic strategy utilizing real-world fabrics. This confirmed college textbook comprises workouts plus options in addition to directions for greater than 20 experiments.

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30). 4 What is the meaning of conjugated wave? 5 Verify Eq. 37) by differentiating Eq. 36). 6 A Fresnel lens has a focal length of 10 cm. Calculate the diameter of the 1st and 100th ring (λ = 600 nm). 27 Holography Gerhard K. Ackermann and Jürgen Eichler © 2007 WILEY-VCH Verlag GmbH & Co. 29 3 Fundamental Imaging Techniques in Holography The recording of a hologram is performed by bringing object and reference wave to interference. The information of the object wave is completely contained in the resulting interference pattern.

6 Fourier hologram. (a) exposure, (b) reconstruction, (c) calculating a Fourier hologram (see text). That means the square of R(ξ, η ), the intensity, is constant and just 1. Both waves interfere. The resulting intensity at the plane of the holographic plate is given by I = {O(ξ, η ) + R(ξ, η )}2 I = 1 + O(ξ, η )2 + O(ξ, η ) · R∗ (ξ, η ) + O∗ (ξ, η ) · R(ξ, η ). 3) The resulting amplitude transparency of the holographic plate again is a linear function of intensity as assumed already in Eq. 21).

Therefore o∗ ( x, y) is also a plane wave. If o( x, y) has the angle of incidence δ0 (see Fig. 5), Eqs. 26) can be written as u−1 = βτr2 oei 2π λ x (sin(− δ0 )+2 sin δ ) . 27) Here the relation e a eb = e a+b was used. 27) represents a wave with the angle of incidence δ−1 with sin δ−1 = sin(−δ0 ) + 2 sin δ. 28) As already stated the conjugated image with δ0 = 0◦ (object wave impinging perpendicular on the hologram) appears at an angle of sin δ−1 = 2 sin δ; δ is the angle of the reference and reconstruction wave.

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