&lt;title&gt;HOLOMED: an algorithm for computer-generated holograms&lt;/title&gt;

Juday, Richard D.; Knopp, Jerome

doi:10.1117/12.235646

Cited by 3 publications

(3 citation statements)

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“…However, more recent studies have reported suboptimal searches over these two parameters for the design of composite pattern recognition filters 25 and spot array generators. 26 These studies predated and stimulated the development of the first algorithms that blend MDE and PRE to various degrees as a function of the free parameter ␥. 14,15 In specific cases searches over one or both of the free parameters can be avoided.…”

Section: B Review Of Reduced-parameter Suboptimal Design Methodsmentioning

confidence: 99%

Modified minimum-distance criterion for blended random and nonrandom encoding

1999

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Two pixel-oriented methods for designing Fourier transform holograms--pseudorandom encoding and minimum-distance encoding-usually produce higher-fidelity reconstructions when combined than those produced by each method individually. In previous studies minimum-distance encoding was defined as the mapping from the desired complex value to the closest value produced by the modulator. This method is compared with a new minimum-distance criterion in which the desired complex value is mapped to the closest value that can be realized by pseudorandom encoding. Simulations and experimental measurements using quantized phase and amplitude modulators show that the modified approach to blended encoding produces more faithful reconstructions than those of the previous method.

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Section: B Review Of Reduced-parameter Suboptimal Design Methodsmentioning

confidence: 99%

Modified minimum-distance criterion for blended random and nonrandom encoding

1999

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“…The random variable s is simulated using the standard uniform random number generator sp=ran(s,1). The appropriate random value of phase is then drawn using the formula iji = (ii,) + v{ran(s) -1/2] (14) Eq. (14) shows that pseudorandom encoding for phase-only modulation can be accomplished with a small number of mathematical operations.…”

Section: Pseudorandom Encoding Of Fully Complex Functionsmentioning

confidence: 99%

“…The appropriate random value of phase is then drawn using the formula iji = (ii,) + v{ran(s) -1/2] (14) Eq. (14) shows that pseudorandom encoding for phase-only modulation can be accomplished with a small number of mathematical operations. The speed of computation can be extremely fast if v and ran(s) in eqs.…”

Section: Pseudorandom Encoding Of Fully Complex Functionsmentioning

confidence: 99%

<title>Real-time multispot beam steering with electrically controlled spatial light modulators</title>

Cohn

1997

SPIE Proceedings

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Today diffractive elements are routinely designed and fabricated that diffract laser beamsinto hundreds of spots with diffraction efficiencies in excess of9O%. Thus it is easy to imagine that an electrically-addressed phase-only spatial light modulator (SLM) could be used for the simultaneous and independent scanning ofmultiple spots in arbitrary directions. As opposed to single spot scanning, each spot would be present for the entire frame time ofthe modulator, thereby increasing dwell time over raster-based scanners. Key to actually achieving arbitrary scanning operations at real-time rates is the issue ofspecifying the electrical control values to the SLM. The control values are not obvious because arbitrary complex modulation is needed to produce arbitrary diffraction patterns. Calculation of the control values using global optimization (as is used to design diffractive optics) is too slow. Group oriented encoding procedures are fast but the use of groups to represent individual complex values reduces the resolution of the scanner correspondingly. The recently developed method referred to as pseudorandom encoding can be computed in real-time and does not sacrifice resolution. This statistically-based encoding procedure is reviewed with emphasis on its performance and suitability for applications requiring multispot beam steering.

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Analyzing the encoding range of amplitude-phase coupled spatial light modulators

Cohn

1999

Opt. Eng

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Abstract. Most spatial light modulators (SLMs) are limited in that they cannot produce arbitrary complex modulations. Because phase and amplitude are usually coupled, it is difficult to computer design appropriate modulation patterns fast enough for the real-time applications for which SLMs are suited. Dramatic computational speedups can be achieved by using encoding algorithms that directly translate desired complex values into values that the modulator can produce. For coherently illuminated SLMs in a Fourier transform arrangement, pseudorandom encoding can be used. Each SLM pixel is programmed in sequence by selecting a single value of pixel modulation from a random distribution having an average that is identical to the desired fully complex modulation. While the method approximates fairly arbitrary complex modulations, there are always some complex values that are outside the encoding range for each SLM coupling characteristic and for each specific pseudorandom algorithm. Using the binary random distribution leads to methods of evaluating and geometrically interpreting the encoding range. Evaluations are presented of achieving fully complex encoding with SLMs that produce less than 2 of phase shift, identifying an infinite set of encoding algorithms that encode the same value, identification of the maximum encoding range, and geometric interpretation of encoding errors. © 1999Society of Photo-Optical Instrumentation Engineers. [S0091-3286(99) 01702-X]

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<title>HOLOMED: an algorithm for computer-generated holograms</title>

Cited by 3 publications

References 0 publications

Modified minimum-distance criterion for blended random and nonrandom encoding

Modified minimum-distance criterion for blended random and nonrandom encoding

<title>Real-time multispot beam steering with electrically controlled spatial light modulators</title>

Analyzing the encoding range of amplitude-phase coupled spatial light modulators

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