Page 681 - Introduction to Information Optics

References 663

11.10 Hologram scaling: After we have recorded the hologram of the three-
point object, t 3S(x, y), obtained in Exercise 11.9, we want to scale the
hologram to t 3d(Mx, My), where M is the scale factor. Find the location
of the real-image reconstruction of the three-point object if the hologram
is illuminated by a plane wave. Draw a figure to illustrate the recon-
struction locations of the three points.
11.11 With reference to Exercises 11.9 and 11.10 and defining the lateral
magnification M, at as the ratio of the reconstructed lateral distance to
the original lateral distance x 0, express M lat in terms of M.
11.12 Defining the longitudinal magnification M long as the ratio of the recon-
structed longitudinal distance to the original longitudinal distance Az 0
for hologram t 36(Mx, My), express M long in terms of M.
11.13 Show that the Jones matrix of a polarizer with a polarization axis
making an angle a with the x axis is given by Eq. (11.41).
11.14 A crystal called KDP (potassium dihydrogen phosphate) with width,
d = 3 cm and proportional coefficient, 7 = 36.5 m/V, is used as the
elecro-optic crystal in the electro-optic intensity modulator that is
shown in Fig. 11.22. Calculate the required magnitude of the electric
field and the applied voltage in order to completely block the outgoing
light. Assume that the wavelength is 1 — 0.628 jum.
11.15 Plot Eq. (11.50) as a function of (V - V th)/V 0. Also plot the normalized
phase retardation, A/A max, as a function of (V — V t^/V 0 for n 0 — 1.5,
n e — 1.6 and /, — 0.628 /mi.