Modeling of the diffraction efficiency and polarization sensitivity for a liquid crystal 2D spatial light modulator for reconfigurable beam steering

Richard James; F. Aníbal Fernández; Sally E. Day; Miloš Komarčević; William A. Crossland

doi:10.1364/JOSAA.24.002464

Journal of the Optical Society of America A
Vol. 24,
Issue 8,
pp. 2464-2473
(2007)
•https://doi.org/10.1364/JOSAA.24.002464

Modeling of the diffraction efficiency and polarization sensitivity for a liquid crystal 2D spatial light modulator for reconfigurable beam steering

Richard James, F. Aníbal Fernández, Sally E. Day, Miloš Komarčević, and William A. Crossland

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Richard James, F. Aníbal Fernández, Sally E. Day, Miloš Komarčević, and William A. Crossland, "Modeling of the diffraction efficiency and polarization sensitivity for a liquid crystal 2D spatial light modulator for reconfigurable beam steering," J. Opt. Soc. Am. A 24, 2464-2473 (2007)

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Abstract

A nematic liquid crystal spatial light modulator used as a phase-modulating device and operating in the reflective mode is analyzed using three-dimensional modeling. Two configurations, which differ in their electrode placement relative to a fixed quarter-wave plate, are considered across a range of steering directions, with the grating conformal and in some cases oblique to the pixel grid. For each steering direction the sensitivity of the diffraction orders to the polarization state of the incident wavefront is studied. Optimal alignment of the liquid crystal is suggested to reduce this sensitivity.

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Equations (5)

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Symbol	Quantity	Symbol	Quantity
$K_{11}$	$11.1 pN$	$ε_{⊥}$	5.2
$K_{22}$	$10.0 pN$	$Δ ε$	13.8
$K_{33}$	$17.1 pN$	$n_{o}$	1.5
λ	$1.55 μ m$	$n_{e}$	1.689

Diffraction Order	Influences
$- 1$	Flyback width, phase excursion
0	Phase excursion, gradient $(< 2 π ∕ 100)$
$+ 1$	Flyback width, gradient
$+ 2$	Gradient $(> 2 π ∕ 100)$ , flyback width

Order	(i) 0° Alignment			(ii) 45° Alignment
Order	Maximum	Average	Minimum	Maximum	Average	Minimum
$- 1$	$- 14.05$	$- 18.82$	$- 25.96$	$- 13.94$	$- 18.55$	$- 26.56$
0	$- 17.93$	$- 22.74$	$- 32.56$	$- 18.14$	$- 22.15$	$- 30.68$
$+ 1$	$- 0.29$	$- 1.03$	$- 2.02$	$- 0.33$	$- 1.03$	$- 2.05$
$+ 2$	$- 9.25$	$- 12.95$	$- 31.27$	$- 8.58$	$- 13.18$	$- 29.97$

Order	(i) 0° Alignment			(ii) 45° Alignment
Order	Maximum	Average	Minimum	Maximum	Average	Minimum
$- 1$	$- 18.13$	$- 22.55$	$- 40.28$	$- 17.62$	$- 21.94$	$- 36.45$
0	$- 14.97$	$- 18.86$	$- 32.81$	$- 16.62$	$- 18.60$	$- 29.53$
$+ 1$	$- 0.36$	$- 0.99$	$- 1.88$	$- 0.49$	$- 0.98$	$- 1.92$
$+ 2$	$- 8.46$	$- 12.44$	$- 27.81$	$- 8.14$	$- 12.77$	$- 27.59$

Symbol	Quantity	Symbol	Quantity
$K_{11}$	$11.1 pN$	$ε_{⊥}$	5.2
$K_{22}$	$10.0 pN$	$Δ ε$	13.8
$K_{33}$	$17.1 pN$	$n_{o}$	1.5
λ	$1.55 μ m$	$n_{e}$	1.689

Abstract

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Equations (5)

Journal of the Optical Society of America A