Available number of multiplexed holograms based on signal-to-noise ratio analysis in reflection-type holographic memory using three-dimensional speckle-shift multiplexing

Tatsuya Nishizaki; Osamu Matoba; Kouichi Nitta

doi:10.1364/AO.53.005733

Applied Optics
Vol. 53,
Issue 25,
pp. 5733-5739
(2014)
•https://doi.org/10.1364/AO.53.005733

Available number of multiplexed holograms based on signal-to-noise ratio analysis in reflection-type holographic memory using three-dimensional speckle-shift multiplexing

Tatsuya Nishizaki, Osamu Matoba, and Kouichi Nitta

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Tatsuya Nishizaki, Osamu Matoba, and Kouichi Nitta, "Available number of multiplexed holograms based on signal-to-noise ratio analysis in reflection-type holographic memory using three-dimensional speckle-shift multiplexing," Appl. Opt. 53, 5733-5739 (2014)

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Abstract

The recording properties of three-dimensional speckle-shift multiplexing in reflection-type holographic memory are analyzed numerically. Three-dimensional recording can increase the number of multiplexed holograms by suppressing the cross-talk noise from adjacent holograms by using depth-direction multiplexing rather than in-plane multiplexing. Numerical results indicate that the number of multiplexed holograms in three-layer recording can be increased by 1.44 times as large as that of a single-layer recording when an acceptable signal-to-noise ratio is set to be 2 when $NA = 0.43$ and the thickness of the recording medium is 0.5 mm.

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Calculation field	$16.384 \times 16.384 [mm]$ , $4096 \times 4096 [pixel]$
Signal beam
Data size	$8.2 \times 8.2 [mm]$
Data size	$256 \times 256 [bit] = 2048 \times 2048 [pixel]$
Bit size	$32 \times 32 [nm]$ , $8 \times 8 [pixel]$
Incident angle of signal beam	0 [deg]
Reference beam
Beam width (input plane)	$14 \times 14 [mm]$ , $3500 \times 3500 [pixel]$
Incident angle of reference beam	180 [deg]
Storage medium
Thickness	0.5 [mm]
Number of regions	100
Average refractive index	1.5
Maximum refractive-index modulation
Wavelength	532 [nm]
Focal length	8.6 [mm]
Numerical aperture	0.43

Recording interval (μm)	0.8	1.6	3.2	6.4	12.8	14.0	14.4	16.0
Number of holograms within reference beam	58805	14882	3766	972	259	219	207	170
Number of available holograms	103	115	121	127	193	212	220	278

Recording interval (μm)	12.8	17.6	19.2	20.8	21.2
Number of holograms within reference beam	777	430	367	317	306
Number of available holograms	224	264	286	306	316

Calculation field	$16.384 \times 16.384 [mm]$ , $4096 \times 4096 [pixel]$
Signal beam
Data size	$8.2 \times 8.2 [mm]$
Data size	$256 \times 256 [bit] = 2048 \times 2048 [pixel]$
Bit size	$32 \times 32 [nm]$ , $8 \times 8 [pixel]$
Incident angle of signal beam	0 [deg]
Reference beam
Beam width (input plane)	$14 \times 14 [mm]$ , $3500 \times 3500 [pixel]$
Incident angle of reference beam	180 [deg]
Storage medium
Thickness	0.5 [mm]
Number of regions	100
Average refractive index	1.5
Maximum refractive-index modulation
Wavelength	532 [nm]
Focal length	8.6 [mm]
Numerical aperture	0.43

Recording interval (μm)	0.8	1.6	3.2	6.4	12.8	14.0	14.4	16.0
Number of holograms within reference beam	58805	14882	3766	972	259	219	207	170
Number of available holograms	103	115	121	127	193	212	220	278

Abstract

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Figures (11)

Tables (3)

Equations (2)

Applied Optics