Page 680 - Introduction to Information Optics

664 11. Information Display with Optics

11.42 N. Mukohzaka, N. Yoshida, H. Toyoda, Y. Kobayashi, and T. Hara, 1994, "Diffraction
Efficiency Analysis of a Parallel-Aligned Nematic Liquid Crystal Spatial Light Modulator."
App. Opt., 33, 2804-2811.
11.43 P.-G. de Gennes, The Physical of Liquid Crystals, Clarendon Press, Oxford, 1974.
11,44 T.-C. Poon, experiments conducted at Research Institute of Electronics, Shizuoka Univer-
sity, Hamamatsu, Japan, 1997.
J 1.45 F. T. S. Yu and S. Jutamulia, eds., Optical Pattern Recognition, Cambridge University Press,
1998.

EXERCISES

11.1 For the system of equations given in Eq. (11.9)
2 2 2
(a) Show the energy of conservation: \E 0\ + JEJ = l£ inc| .
(b) Solve for E 0 and E v for a* = a = a.
11.2 Verify that Eq. (11.lie) is the solution for Eq. (11.9) when (5 = 0.
11.3 Starting from Eq. (11.8) with a* = a = a, and assuming that Q = 0 for
normal incidence (i.e., 0 inc = 0), find the solutions under this situation.
This situation is known as the ideal Raman-Nath regime for the
acousto-optic modulator.
11.4 Design an acousto-optic intensity modulation system based on Raman-
Nath diffraction. We want to use the zeroth-order light for transmission
of information. Sketch an optical system that would do the job.
11.5 Consider an acousto-optic deflector. If the interaction length is 10mm
and its center frequency is ISOMhz, estimate the number of resolvable
spots and the transit time of the deflector if the laser beam width is 2 mm
and its wavelength is 0.6 /an. We assume that the sound velocity in the
acoustic medium is 4000 m/s.
11.6 Verify the three equations given by Eq. (11.23).
2
11.7 A point-object hologram is given of the form as bias + cos(k 0x /2z 0),
where the wavenumber of the recording light is k 0 and z 0 is the location
of the point away from the holographic film. Find the real image
location of the point upon illumination by plane wave of light with
wavenumber k l.
11.8 For the hologram given by Exercise xll.7, we now assume that the
recording film has a finite resolution limit in such a way that NA is
given. Estimate the spot size of the reconstructed real image in terms of
NA.
11.9 A three-point object given by S(x, y; z — z 0) + <5(x — x 0, y; z — z 0) +
S(x,y;z — (z 0 + Az 0)) is scanned by the time-dependent Fresnel zone
plate expressed by Eq. (11.26). Find an expression for its hologram,