A computer-generated hologram with minimum spatial complexity is proposed for encoding arbitrary complex transmittance with low-resolution phase-modulation devices. The phase modulation of the proposed hologram is determined such that on-axis reconstruction with high signal-to-noise ratio, optimum reconstruction efficiency, and the largest possible signal bandwidth can be obtained.

© 2003 Optical Society of America

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    [Crossref] [PubMed]

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Figures (3)

Fig. 1
Fig. 1

Unitary complex circle showing complex vector cnm and the two possible phasors (hnm1 and hnm2) that can encode it.

Fig. 2
Fig. 2

(a) Gray-map representation of the CGH phase modulation (in radians) encoding complex transmittance A2πrJ02πrexpiθ. (b) A portion of the corresponding Fourier domain intensity distribution.

Fig. 3
Fig. 3

(a) Extended reconstruction field for the CGH in Fig. 2. (b) Modified reconstruction field when dnm=1 (for every CGH pixel).

Equations (9)

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ψnm=ϕnm+-1n+mdnm cos-1cnm.