Pixel-level fringing-effect model to describe the phase profile and diffraction efficiency of a liquid crystal on silicon device

Tianxin Lu; Mike Pivnenko; Brian Robertson; Daping Chu

doi:10.1364/AO.54.005903

Pixel-level fringing-effect model to describe the phase profile and diffraction efficiency of a liquid crystal on silicon device

Tianxin Lu, Mike Pivnenko, Brian Robertson, and Daping Chu

Applied Optics
Vol. 54,
Issue 19,
pp. 5903-5910
(2015)
•https://doi.org/10.1364/AO.54.005903

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Tianxin Lu, Mike Pivnenko, Brian Robertson, and Daping Chu, "Pixel-level fringing-effect model to describe the phase profile and diffraction efficiency of a liquid crystal on silicon device," Appl. Opt. 54, 5903-5910 (2015)

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Related Topics
Table of Contents Category
- Fiber Optics and Optical Communications
Optics & Photonics Topics
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The topics in this list come from the OSA Optics and Photonics Topics applied to this article.
Previously assigned OCIS codes
- Phase modulation (060.5060)
- Liquid crystals (160.3710)
- Diffraction gratings (230.1950)
- Electro-optical devices (230.2090)
- Liquid-crystal devices (230.3720)
- Spatial light modulators (230.6120)

About this Article
History
- Original Manuscript: April 6, 2015
- Revised Manuscript: June 2, 2015
- Manuscript Accepted: June 3, 2015
- Published: June 22, 2015

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Abstract

We propose a fringing-effect model based on the experimentally measured phase response across the phase transition region of a liquid crystal on silicon (LCOS) device. The measured phase profile in the phase transition region is characterized by a scaled error function of the flyback width. The flyback width can be determined by a cubic function of the phase depth between neighboring pixels. This dependence of the flyback width on the phase depth is explained by a linear rotation model of the liquid crystal director. The simulated diffraction efficiency based on the fringing-effect model shows a close agreement with the experimental measurement.

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Diffraction Order	Ideal Binary Grating	Binary Grating with Measured Phase Profile	Experimental Measurement
−10	–	−27.25	–
−9	−23.01	−25.46	–
−8	–	−25.61	–
−7	−20.82	−22.61	–
−6	–	−23.16	–
−5	−17.90	−19.77	–
−4	–	−20.92	–
−3	−13.46	−14.08	−14.81
−2	–	−21.08	–
−1	−3.92	−3.98	−4.92
0	–	−18.06	−6.16
1	−3.92	−4.15	−5.15
2	–	−20.13	–
3	−13.46	−13.93	−14.41
4	–	−21.39	–
5	−17.90	−18.18	–
6	–	−23.29	–
7	−20.82	−23.18	–
8	–	−25.95	–
9	−23.01	−26.53	–
10	–	−26.30	–

Diffraction Order	Ideal Quantized Blazed Grating	Quantized Blazed Grating with Measured Phase Profile	Experimental Measurement
−10	–	−26.82	–
−9	–	−24.08	–
−8	−19.51	−24.26	–
−7	–	−22.24	–
−6	–	−20.38	–
−5	−15.42	−17.38	–
−4	–	−13.20	–
−3	–	−22.23	–
−2	−7.48	−13.42	−14.87
−1	–	−18.07	−19.40
0	–	−12.68	−5.57
1	−1.65	−4.34	−5.52
2	–	−15.37	−16.80
3	–	−11.96	–
4	−13.49	−28.55	–
5	–	−26.92	–
6	–	−26.33	–
7	−18.34	−26.34	–
8	–	−20.71	–
9	–	−21.87	–
10	−21.44	−18.83	–

Diffraction Order	Ideal Binary Grating	Binary Grating with Measured Phase Profile	Experimental Measurement
−10	–	−27.25	–
−9	−23.01	−25.46	–
−8	–	−25.61	–
−7	−20.82	−22.61	–
−6	–	−23.16	–
−5	−17.90	−19.77	–
−4	–	−20.92	–
−3	−13.46	−14.08	−14.81
−2	–	−21.08	–
−1	−3.92	−3.98	−4.92
0	–	−18.06	−6.16
1	−3.92	−4.15	−5.15
2	–	−20.13	–
3	−13.46	−13.93	−14.41
4	–	−21.39	–
5	−17.90	−18.18	–
6	–	−23.29	–
7	−20.82	−23.18	–
8	–	−25.95	–
9	−23.01	−26.53	–
10	–	−26.30	–

Diffraction Order	Ideal Quantized Blazed Grating	Quantized Blazed Grating with Measured Phase Profile	Experimental Measurement
−10	–	−26.82	–
−9	–	−24.08	–
−8	−19.51	−24.26	–
−7	–	−22.24	–
−6	–	−20.38	–
−5	−15.42	−17.38	–
−4	–	−13.20	–
−3	–	−22.23	–
−2	−7.48	−13.42	−14.87
−1	–	−18.07	−19.40
0	–	−12.68	−5.57
1	−1.65	−4.34	−5.52
2	–	−15.37	−16.80
3	–	−11.96	–
4	−13.49	−28.55	–
5	–	−26.92	–
6	–	−26.33	–
7	−18.34	−26.34	–
8	–	−20.71	–
9	–	−21.87	–
10	−21.44	−18.83	–

Abstract

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Figures (10)

Tables (2)

Equations (7)

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