292 Ultra-Realistic Imaging
k
N
W
DW
N
N
h
K
X
M
M
=+
−
+
+
−−
−
()
′
1
1
2
21
1
2
µρK
ˆ
tan
Ψ
PH
+
−
−
α ND
N
A
1
(8.166)
A different technique which can be used to dene an exactly rectangular viewing window is, for each hogel,
to calculate (μ′,ν′) for every (μ,ν) on the SLM using Equation 8.146. By testing (μ′,ν′) against the required
rectangle, the parameters
′′′′
NNNN
VVUU1212
(,), (,), (,), (,)αβ αβ αν αν
can once again be dened. Precalculation
of these boundary functions is often advantageous can be performed with either technique. Figure 8.25 shows
typical SLM data pertaining to the four extreme corner hogels of an HPO reection hologram with a rectan-
gular viewing window. The distortion function used is that of Figure 8.24.
REFERENCES
1. D. Brotherton-Ratcliffe and A. Rodin, Holographic printer, US patent 7,161,722 (led 2002, granted
2007).
2. D. Brotherton-Ratcliffe, A. Rodin and L. Hrynkiw, Method of writing a composite 1-step hologram, US
patent 7,333,252 (led 2002, granted 2008).
3. R. Guenther, Modern Optics, John Wiley & Sons, New York (1990).
4. G. Saxby, Practical Holography, 3rd Edn, IOP Publishing Ltd., London, UK (2004).
5. L. Cross, “The multiplex technique for cylindrical holographic stereograms,” in SPIE San Diego August
Seminar (1977). [Presented, but not published]
6. S. A. Benton, “Hologram reconstructions with extended incoherent sources,” J. Opt. Soc. Am. 59, 1545–
1546A (1969).
7. S. A. Benton, “Achromatic images from white light transmission holograms,” J. Opt. Soc. Am. 68, 1441A
(1978).
8. K. Ohnuma and F. Iwata, “Color rainbow hologram and color reproduction,” Appl. Opt. 27, 3859–3863
(1988).