Polarization-holographic gratings for analysis of light. 
1. Analysis of completely polarized light

Barbara Kilosanidze; George Kakauridze

doi:10.1364/AO.46.001040

Applied Optics
Vol. 46,
Issue 7,
pp. 1040-1049
(2007)
•https://doi.org/10.1364/AO.46.001040

Polarization-holographic gratings for analysis of light. 1. Analysis of completely polarized light

Barbara Kilosanidze and George Kakauridze

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Barbara Kilosanidze and George Kakauridze, "Polarization-holographic gratings for analysis of light. 1. Analysis of completely polarized light," Appl. Opt. 46, 1040-1049 (2007)

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Abstract

We consider the possibility of a complete real-time analysis of the polarization state of light using two types of polarization-holographic grating that decompose the light analyzed into orthogonal circular and orthogonal linear bases. It is shown that it is possible to determine the ellipticity, the direction of rotation, and the azimuth of the polarization ellipse of light by the measurement of the intensity of the diffraction orders by the obtained formulas. The possibility of creating gratings that give an orthogonal linear basis on actual polarization-sensitive materials is shown. A comparison of the experimental results with the theory is given.

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Equations (39)

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Number	Jones Vector of Incident Light	Intensities of Diffracted Beams for Gratings^a
Number	Jones Vector of Incident Light	C ₋₁	C ₊₁	L _H	L _V
1	$(\begin{matrix} 1 \\ 0 \end{matrix})$	49	49.2	43	0.05
2	$(\begin{matrix} 2 + i \\ \sqrt{3} i \end{matrix})$	82	6.2	25	11
3	$(\begin{matrix} \sqrt{3} i \\ 2 i + 1 \end{matrix})$	80	5.5	22	27
4	$(\begin{matrix} - i \\ 2 + \sqrt{3} i \end{matrix})$	57	19	6	30
5	$(\begin{matrix} 2 - \sqrt{3} i \\ - i \end{matrix})$	21	64	4.5	23
6	$(\begin{matrix} 1 \\ - \sqrt{3} \end{matrix})$	37	36	13	30
7	$(\begin{matrix} 1 \\ - i \end{matrix})$	40	0	19	14
8	$(\begin{matrix} 1 + 2 i \\ - \sqrt{3} \end{matrix})$	65	4.5	23.5	10
9	$(\begin{matrix} 2 + i \\ - \sqrt{3} i \end{matrix})$	6	85	36.5	16
10	$(\begin{matrix} - \sqrt{3} (1 + i) \\ 1 - i \end{matrix})$	72	5.2	25	6

Number	For Incident Light^a		Measured by Means of Gratings
Number	Ellipticity and Direction of Rotation	Azimuth (degree)	Ellipticity and Direction of Rotation	Azimuth (degree)
1	0	0	0.04	0.01
2	+0.58	30	+0.57	30.4
3	+0.58	60	+0.58	60.4
4	+0.27	105	+0.26	105.8
5	−0.27	105	−0.27	105.6
6	0	120	0.06	119.3
7	−1	(circular)	−1	(circular)
8	+0.58	150	+0.58	151
9	−0.58	150	−0.58	150.2
10	+0.58	180	+0.57	179.7

Number	Jones Vector of Incident Light	Intensities of Diffracted Beams for Gratings^a
Number	Jones Vector of Incident Light	C ₋₁	C ₊₁	L _H	L _V
1	$(\begin{matrix} 1 \\ 0 \end{matrix})$	49	49.2	43	0.05
2	$(\begin{matrix} 2 + i \\ \sqrt{3} i \end{matrix})$	82	6.2	25	11
3	$(\begin{matrix} \sqrt{3} i \\ 2 i + 1 \end{matrix})$	80	5.5	22	27
4	$(\begin{matrix} - i \\ 2 + \sqrt{3} i \end{matrix})$	57	19	6	30
5	$(\begin{matrix} 2 - \sqrt{3} i \\ - i \end{matrix})$	21	64	4.5	23
6	$(\begin{matrix} 1 \\ - \sqrt{3} \end{matrix})$	37	36	13	30
7	$(\begin{matrix} 1 \\ - i \end{matrix})$	40	0	19	14
8	$(\begin{matrix} 1 + 2 i \\ - \sqrt{3} \end{matrix})$	65	4.5	23.5	10
9	$(\begin{matrix} 2 + i \\ - \sqrt{3} i \end{matrix})$	6	85	36.5	16
10	$(\begin{matrix} - \sqrt{3} (1 + i) \\ 1 - i \end{matrix})$	72	5.2	25	6

Number	For Incident Light^a		Measured by Means of Gratings
Number	Ellipticity and Direction of Rotation	Azimuth (degree)	Ellipticity and Direction of Rotation	Azimuth (degree)
1	0	0	0.04	0.01
2	+0.58	30	+0.57	30.4
3	+0.58	60	+0.58	60.4
4	+0.27	105	+0.26	105.8
5	−0.27	105	−0.27	105.6
6	0	120	0.06	119.3
7	−1	(circular)	−1	(circular)
8	+0.58	150	+0.58	151
9	−0.58	150	−0.58	150.2
10	+0.58	180	+0.57	179.7

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