Iterative experimental method for generating eigenstates and principal states of polarization

Pierre Pellat-Finet

doi:10.1364/AO.51.004403

Applied Optics
Vol. 51,
Issue 19,
pp. 4403-4408
(2012)
•https://doi.org/10.1364/AO.51.004403

Iterative experimental method for generating eigenstates and principal states of polarization

Pierre Pellat-Finet

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Pierre Pellat-Finet, "Iterative experimental method for generating eigenstates and principal states of polarization," Appl. Opt. 51, 4403-4408 (2012)

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Abstract

Eigenstates of a given elliptical birefringent are determined at 1.530 and 1.580 μm by generating sequences of polarization states that converge to the eigenstates. The principal states of polarization of the device for the two considered wavelengths are shown to be eigenstates of the succession of two birefringents at 1.530 and 1.580 μm; they are produced by applying the previous iterative process. Experimental results are compared to theoretical estimates.

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Equations (23)

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$i$	$α_{i}$ , $χ_{i}$	$α_{i}^{'}$ , $χ_{i}^{'}$
1	$- 40.7 °$ , 15.7°	$- 86.7 °$ , $- 35.1 °$
2	$- 63.1 °$ , $- 9.9 °$	$55.7 °$ , $- 9.8 °$
3	$- 4.9 °$ , $- 9.5 °$	$- 3.8 °$ , $- 12.7 °$
4	$- 4.4 °$ , $- 11.1 °$	$- 2.6 °$ , $- 11.4 °$
5	$- 3.5 °$ , $- 11.2 °$	$- 3.0 °$ , $- 10.5 °$
6	$- 3.2 °$ , $- 10.9 °$	$- 3.4 °$ , $- 10.5 °$
7	$- 3.3 °$ , $- 10.7 °$	$- 3.5 °$ , $- 10.7 °$
8	$- 3.41 °$ , $- 10.67 °$	$- 3.48 °$ , $- 10.75 °$
9	$- 3.44 °$ , $- 10.70 °$	$- 3.43 °$ , $- 10.84 °$

$i$	$α_{i}$ , $χ_{i}$	$α_{i}^{'}$ , $χ_{i}^{'}$
1	86.65°, 10.74°	86.64°, 10.26°
2	86.62°, 10.53°	86.46°, 10.39°

$i$	$α_{i}$ , $χ_{i}$	$α_{Q_{i}}$ , $χ_{Q_{i}}$	$α_{i}^{'}$ , $χ_{i}^{'}$
1	$- 75.6 °$ , $- 4.2 °$	65.7°, $- 0.8 °$	$- 74.1 °$ , $- 5.2 °$
2	$- 74.9 °$ , $- 4.8 °$	65.0°, $- 1.3 °$	$- 73.1 °$ , $- 5.2 °$
3	$- 74.1 °$ , $- 5.0 °$	64.6°, $- 1.9 °$	$- 72.4 °$ , $- 5.0 °$
4	$- 73.3 °$ , $- 5.0 °$	64.3°, $- 2.7 °$	$- 71.7 °$ , $- 4.4 °$
5	$- 72.6 °$ , $- 4.8 °$	64.4°, $- 3.5 °$	$- 71.2 °$ , $- 3.8 °$
6	$- 72.0 °$ , $- 4.3 °$	64.5°, $- 4.1 °$	$- 71.0 °$ , $- 3.1 °$
7	$- 71.5 °$ , $- 3.7 °$	65.0°, $- 4.7 °$	$- 71.0 °$ , $- 2.4 °$
8	$- 71.2 °$ , $- 3.1 °$	65.5°, $- 5.2 °$	$- 71.1 °$ , $- 1.7 °$
9	$- 71.1 °$ , $- 2.3 °$	66.2°, $- 5.6 °$	$- 71.5 °$ , $- 1.0 °$
10	$- 71.4 °$ , $- 1.7 °$	66.9°, $- 5.5 °$	$- 72.1 °$ , $- 0.7 °$
11	$- 71.8 °$ , $- 1.2 °$	67.5°, $- 5.4 °$	$- 72.6 °$ , $- 0.4 °$

$i$	$α_{i}$ , $χ_{i}$	$α_{i}^{'}$ , $χ_{i}^{'}$
1	$- 40.7 °$ , 15.7°	$- 86.7 °$ , $- 35.1 °$
2	$- 63.1 °$ , $- 9.9 °$	$55.7 °$ , $- 9.8 °$
3	$- 4.9 °$ , $- 9.5 °$	$- 3.8 °$ , $- 12.7 °$
4	$- 4.4 °$ , $- 11.1 °$	$- 2.6 °$ , $- 11.4 °$
5	$- 3.5 °$ , $- 11.2 °$	$- 3.0 °$ , $- 10.5 °$
6	$- 3.2 °$ , $- 10.9 °$	$- 3.4 °$ , $- 10.5 °$
7	$- 3.3 °$ , $- 10.7 °$	$- 3.5 °$ , $- 10.7 °$
8	$- 3.41 °$ , $- 10.67 °$	$- 3.48 °$ , $- 10.75 °$
9	$- 3.44 °$ , $- 10.70 °$	$- 3.43 °$ , $- 10.84 °$

$i$	$α_{i}$ , $χ_{i}$	$α_{i}^{'}$ , $χ_{i}^{'}$
1	86.65°, 10.74°	86.64°, 10.26°
2	86.62°, 10.53°	86.46°, 10.39°

Abstract

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Tables (3)

Equations (23)

Applied Optics