Polarization of holographic grating diffraction. II. Experiment

Tsu-Wei Nee; Soe-Mie F. Nee; Mark W. Kleinschmit; M. S. Shahriar

doi:10.1364/JOSAA.21.000532

Journal of the Optical Society of America A
Vol. 21,
Issue 4,
pp. 532-539
(2004)
•https://doi.org/10.1364/JOSAA.21.000532

Polarization of holographic grating diffraction. II. Experiment

Tsu-Wei Nee, Soe-Mie F. Nee, Mark W. Kleinschmit, and M. S. Shahriar

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Tsu-Wei Nee, Soe-Mie F. Nee, Mark W. Kleinschmit, and M. S. Shahriar, "Polarization of holographic grating diffraction. II. Experiment," J. Opt. Soc. Am. A 21, 532-539 (2004)

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Abstract

The transmittance, ellipsometric parameters, and depolarization of transmission, diffraction, and reflection of two volume holographic gratings (VHGs) are measured at a wavelength of 632.8 nm. The measured data are in good agreement with the theoretical simulated results, which demonstrated the correlation between the diffraction strength and the polarization properties of a VHG. Vector electromagnetic theory and polarization characterization are necessary for complete interpretation of the diffraction property of a VHG. The diffraction efficiency is measured at 532 nm in a polarization-sensing experiment. The measured data and theoretical simulation have demonstrated the potential application of the holographic beam splitter for polarization-sensor technology.

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Sample Grating	A	B1	B2	B3
Sample Aa
θ (deg)	29.55	4.77	5.32	5.85
Ө (deg)	15.97	27.80	34.32	40.91
$θ_{K} (\deg)$	4.3444	-7.52	-9.33	-11.08
$x_{0} (nm)$	821.25	1141.6	951.09	820.58
Sample Bb
θ (deg)		2.17	2.17	2.17
Ө (deg)		25.10	30.93	36.75

	Transmission $(T_{t})$		Diffraction $(T_{d})$		Reflection $(R_{r})$ (Measured)
	Measured	Calculated	Measured	Calculated	Reflection $(R_{r})$ (Measured)
R	0.703	0.864	0.226	0.055	0.071
ψ	48.08	46.50°	36.95°	36.95°	34.84°
Δ	29.21	29.20°	35.04°	35.01°	173.92°
$D$	0.015	0.000	0.128	0.000	0.033
$D_{v}$	0.007	0.000	0.002	0.000	0.002
$η = T_{d} / (T_{t} + T_{d})$			0.243	0.059

	Transmission $(T_{t})$		Diffraction $(T_{d})$		η
	Measured	Calculated	Measured	Calculated	Measured	Calculated
Grating #1a
$R (T_{t}, T_{d})$	0.8661	0.9089	0.0199	0.0163	$2.22 \times 10^{- 2}$	$1.76 \times 10^{- 2}$
ψ	45.04°	45.03°	44.98°	44.97°
Δ	-7.54	-7.56	5.541	5.56°
$D$	$3.27 \times 10^{- 5}$	0.000	$3.29 \times 10^{- 3}$	0.000
Δδ (deg)		-49.81		33.18
Grating #2b
$R (T_{t}, T_{d})$	0.8666	0.8905	0.0114	0.0373	$1.30 \times 10^{- 2}$	$4.02 \times 10^{- 2}$
ψ	45.05°	45.11°	43.56°	43.56°
Δ	-7.34°	-7.32°	12.77°	12.82°
$D$	$2.99 \times 10^{- 5}$	0.000	$8.15 \times 10^{- 3}$	0.000
Δδ		33.85°		37.11°
Grating #3c
$R (T_{t}, T_{d})$	0.8653	0.8588	0.0071	0.0765	$8.16 \times 10^{- 3}$	$8.178 \times 10^{- 2}$
ψ	45.04°	45.09°	45.34°	45.34°
Δ	-7.27°	-7.29°	20.08°	20.02°
$D$	$3.88 \times 10^{- 5}$	0.000	$2.22 \times 10^{- 2}$	0.000
Δδ		-5.75°		40.10°

	R	ψ (deg)	$M_{11}^{(j)}$	$M_{12}^{(j)}$	$M_{13}^{(j)}$	$M_{14}^{(j)}$
Experiment Ab
Transmission (t)	0.8126	45.67	0.8126	0.0190	0.0000	0.0000
Diffraction (d)	0.0398	42.10	0.0398	-0.0040	0.0000	0.0000
Experiment Bc
Transmission (t)	0.7683	39.56	0.7683	-0.1445	0.0000	0.0000
Diffraction (d)	0.0376	73.00	0.0376	0.0312	0.0000	0.0000
Experiment Cd
Transmission (t)	0.7854	49.37	0.7856	0.1193	0.0000	0.0000
Diffraction (d)	0.0385	11.40	0.0385	-0.0355	0.0000	0.0000

Sample Grating	A	B1	B2	B3
Sample Aa
θ (deg)	29.55	4.77	5.32	5.85
Ө (deg)	15.97	27.80	34.32	40.91
$θ_{K} (\deg)$	4.3444	-7.52	-9.33	-11.08
$x_{0} (nm)$	821.25	1141.6	951.09	820.58
Sample Bb
θ (deg)		2.17	2.17	2.17
Ө (deg)		25.10	30.93	36.75

Abstract

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Tables (4)

Equations (18)

Journal of the Optical Society of America A