Liquid crystal over silicon device characteristics for holographic projection of high-definition television images

A. Georgiou; J. Christmas; J. Moore; A. Jeziorska-Chapman; A. Davey; N. Collings; W. A Crossland

doi:10.1364/AO.47.004793

Applied Optics
Vol. 47,
Issue 26,
pp. 4793-4803
(2008)
•https://doi.org/10.1364/AO.47.004793

Liquid crystal over silicon device characteristics for holographic projection of high-definition television images

A. Georgiou, J. Christmas, J. Moore, A. Jeziorska-Chapman, A. Davey, N. Collings, and W. A Crossland

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A. Georgiou, J. Christmas, J. Moore, A. Jeziorska-Chapman, A. Davey, N. Collings, and W. A Crossland, "Liquid crystal over silicon device characteristics for holographic projection of high-definition television images," Appl. Opt. 47, 4793-4803 (2008)

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Abstract

We discuss some fundamental characteristics of a phase-modulating device suitable to holographically project a monochrome video frame with $1280 \times 720$ resolution. The phase-modulating device is expected to be a liquid crystal over silicon chip with silicon area similar to that of commercial devices. Its basic characteristics, such as number of pixels, bits per pixel, and pixel dimensions, are optimized in terms of image quality and optical efficiency. Estimates of the image quality are made from the noise levels and contrast, while efficiency is calculated by considering the beam apodization, device dead space, diffraction losses, and the sinc envelope.

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Phase Levels	Contrast	RMS $Noise / r_{256}$
4	6	436
8	37	268
16	118	109
32	247	57
64	360	39
128	409	33
256	415	32
512	412	32
1024	413	32

Hologram	Contrast	RMS Noise	LCOS Megapixels	Do Not Care Loss
$1280 \times 720$	17	186	3.6	0.0%
$1280 \times 1024$	216	47	5.2	11.5%
$1280 \times 1280$	358	39	6.4	12.2%
$1536 \times 1024$	360	39	6.4	12.6%
$1536 \times 1280$	524	34	8.0	13.0%
$1536 \times 1536$	634	33	9.6	13.1%
$1920 \times 1024$	553	34	8.0	13.3%
$1920 \times 1536$	846	31	11.6	13.8%
$1920 \times 1920$	938	30	13.6	14.0%

	Loss $12 mm \times 12 mm$	Loss $6 mm \times 6 mm$
Beam apodization $2 \times 2$ hologram repetition	$\times 0.90$	$\times 0.90$
Fill factor (F) interpixel gap absorption	$\times 0.86$	$\times 0.73$
Do not care areas	$\times 0.92$	$\times 0.92$
Noise in do not care areas
Sinc envelope (η) light to unwanted orders	$\times 0.60$	$\times 0.48$
Total	$\times 0.43$	$\times 0.29$

Phase Levels	Contrast	RMS $Noise / r_{256}$
4	6	436
8	37	268
16	118	109
32	247	57
64	360	39
128	409	33
256	415	32
512	412	32
1024	413	32

Hologram	Contrast	RMS Noise	LCOS Megapixels	Do Not Care Loss
$1280 \times 720$	17	186	3.6	0.0%
$1280 \times 1024$	216	47	5.2	11.5%
$1280 \times 1280$	358	39	6.4	12.2%
$1536 \times 1024$	360	39	6.4	12.6%
$1536 \times 1280$	524	34	8.0	13.0%
$1536 \times 1536$	634	33	9.6	13.1%
$1920 \times 1024$	553	34	8.0	13.3%
$1920 \times 1536$	846	31	11.6	13.8%
$1920 \times 1920$	938	30	13.6	14.0%

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Equations (11)

Applied Optics