Generation of high-quality higher-order Laguerre-Gaussian beams using liquid-crystal-on-silicon spatial light modulators

Naoya Matsumoto; Taro Ando; Takashi Inoue; Yoshiyuki Ohtake; Norihiro Fukuchi; Tsutomu Hara

doi:10.1364/JOSAA.25.001642

Journal of the Optical Society of America A
Vol. 25,
Issue 7,
pp. 1642-1651
(2008)
•https://doi.org/10.1364/JOSAA.25.001642

Generation of high-quality higher-order Laguerre–Gaussian beams using liquid-crystal-on-silicon spatial light modulators

Naoya Matsumoto, Taro Ando, Takashi Inoue, Yoshiyuki Ohtake, Norihiro Fukuchi, and Tsutomu Hara

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Naoya Matsumoto, Taro Ando, Takashi Inoue, Yoshiyuki Ohtake, Norihiro Fukuchi, and Tsutomu Hara, "Generation of high-quality higher-order Laguerre-Gaussian beams using liquid-crystal-on-silicon spatial light modulators," J. Opt. Soc. Am. A 25, 1642-1651 (2008)

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Abstract

We report on the high-quality holographic generation of higher-order Laguerre–Gaussian (LG) beams using a liquid-crystal-on-silicon spatial light modulator. The effects of the input beam pattern on the output LG beam quality are investigated in detail through theoretical discussions and experiments. Correlation analyses between observed beam patterns and theoretical mode profiles reveal that higher beam quality is achieved for output LG beams generated from a top-hat input beam than from a Gaussian input beam.

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	Mode Contents
p	Gaussian Input	Top-Hat Input
0	$9.35 \times 10^{- 1}$	$8.66 \times 10^{- 1}$
1	$2.96 \times 10^{- 14}$	$1.04 \times 10^{- 14}$
2	$1.75 \times 10^{- 2}$	$2.33 \times 10^{- 2}$
3	$1.93 \times 10^{- 2}$	$3.71 \times 10^{- 6}$
4	$3.54 \times 10^{- 3}$	$1.83 \times 10^{- 2}$
5	$9.12 \times 10^{- 4}$	$2.45 \times 10^{- 2}$
6	$2.24 \times 10^{- 3}$	$9.54 \times 10^{- 3}$
7	$3.93 \times 10^{- 3}$	$3.59 \times 10^{- 4}$
8	$3.06 \times 10^{- 3}$	$1.31 \times 10^{- 3}$
9	$1.22 \times 10^{- 3}$	$2.70 \times 10^{- 3}$
Sum	0.987	0.946

	p (Figure of the First Place)
*	$0 *$	$1 *$	$2 *$
0	$6.05 \times 10^{- 4}$	$2.84 \times 10^{- 3}$	$1.20 \times 10^{- 3}$
1	$5.83 \times 10^{- 3}$	$3.15 \times 10^{- 3}$	$7.95 \times 10^{- 4}$
2	$8.16 \times 10^{- 3}$	$1.11 \times 10^{- 2}$	$7.60 \times 10^{- 4}$
3	$8.05 \times 10^{- 1}$	$2.13 \times 10^{- 3}$	$4.54 \times 10^{- 4}$
4	$4.89 \times 10^{- 3}$	$2.01 \times 10^{- 3}$	$3.30 \times 10^{- 6}$
5	$7.00 \times 10^{- 3}$	$6.75 \times 10^{- 3}$	$1.69 \times 10^{- 3}$
6	$1.92 \times 10^{- 4}$	$2.63 \times 10^{- 3}$	$6.87 \times 10^{- 3}$
7	$9.97 \times 10^{- 3}$	$1.86 \times 10^{- 5}$	$1.19 \times 10^{- 2}$
8	$1.91 \times 10^{- 3}$	$1.60 \times 10^{- 3}$	$1.17 \times 10^{- 2}$
9	$5.04 \times 10^{- 3}$	$1.99 \times 10^{- 3}$	$6.48 \times 10^{- 3}$
Sum			0.925

	Mode Contents
p	Gaussian Input	Top-Hat Input
0	$9.35 \times 10^{- 1}$	$8.66 \times 10^{- 1}$
1	$2.96 \times 10^{- 14}$	$1.04 \times 10^{- 14}$
2	$1.75 \times 10^{- 2}$	$2.33 \times 10^{- 2}$
3	$1.93 \times 10^{- 2}$	$3.71 \times 10^{- 6}$
4	$3.54 \times 10^{- 3}$	$1.83 \times 10^{- 2}$
5	$9.12 \times 10^{- 4}$	$2.45 \times 10^{- 2}$
6	$2.24 \times 10^{- 3}$	$9.54 \times 10^{- 3}$
7	$3.93 \times 10^{- 3}$	$3.59 \times 10^{- 4}$
8	$3.06 \times 10^{- 3}$	$1.31 \times 10^{- 3}$
9	$1.22 \times 10^{- 3}$	$2.70 \times 10^{- 3}$
Sum	0.987	0.946

	p (Figure of the First Place)
*	$0 *$	$1 *$	$2 *$
0	$6.05 \times 10^{- 4}$	$2.84 \times 10^{- 3}$	$1.20 \times 10^{- 3}$
1	$5.83 \times 10^{- 3}$	$3.15 \times 10^{- 3}$	$7.95 \times 10^{- 4}$
2	$8.16 \times 10^{- 3}$	$1.11 \times 10^{- 2}$	$7.60 \times 10^{- 4}$
3	$8.05 \times 10^{- 1}$	$2.13 \times 10^{- 3}$	$4.54 \times 10^{- 4}$
4	$4.89 \times 10^{- 3}$	$2.01 \times 10^{- 3}$	$3.30 \times 10^{- 6}$
5	$7.00 \times 10^{- 3}$	$6.75 \times 10^{- 3}$	$1.69 \times 10^{- 3}$
6	$1.92 \times 10^{- 4}$	$2.63 \times 10^{- 3}$	$6.87 \times 10^{- 3}$
7	$9.97 \times 10^{- 3}$	$1.86 \times 10^{- 5}$	$1.19 \times 10^{- 2}$
8	$1.91 \times 10^{- 3}$	$1.60 \times 10^{- 3}$	$1.17 \times 10^{- 2}$
9	$5.04 \times 10^{- 3}$	$1.99 \times 10^{- 3}$	$6.48 \times 10^{- 3}$
Sum			0.925

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Equations (10)

Journal of the Optical Society of America A