Implementation of nearly arbitrary spatially varying polarization transformations: an in-principle lossless approach using spatial light modulators

M. T. Runyon; C. H. Nacke; A. Sit; M. Granados-Baez; L. Giner; J. S. Lundeen

doi:10.1364/AO.57.005769

Applied Optics
Vol. 57,
Issue 20,
pp. 5769-5778
(2018)
•https://doi.org/10.1364/AO.57.005769

Implementation of nearly arbitrary spatially varying polarization transformations: an in-principle lossless approach using spatial light modulators

M. T. Runyon, C. H. Nacke, A. Sit, M. Granados-Baez, L. Giner, and J. S. Lundeen

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M. T. Runyon, C. H. Nacke, A. Sit, M. Granados-Baez, L. Giner, and J. S. Lundeen, "Implementation of nearly arbitrary spatially varying polarization transformations: an in-principle lossless approach using spatial light modulators," Appl. Opt. 57, 5769-5778 (2018)

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Abstract

A fast and automated scheme for general polarization transformations holds great value in adaptive optics, quantum information, and virtually all applications involving light–matter and light–light interactions. We present an experiment that uses a liquid crystal on silicon spatial light modulator to perform polarization transformations on a light field. We experimentally demonstrate the point-by-point conversion of uniformly polarized light fields across the wavefront to realize arbitrary, spatially varying polarization states. Additionally, we demonstrate that a light field with an arbitrary spatially varying polarization can be transformed to a spatially invariant (i.e., uniform) polarization.

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Polarization State	Fidelity, $F$	Uniformity, $U$
$S_{ideal} = [0, 1, 0]$	1	1
${\bar{S}}_{\exp} = [0.075, 0.986, 0.012]$	0.993	0.988
${\bar{S}}_{\bar{comp}}^{'} = [0.244, 0.056, - 0.889]$	0.528	0.924
${\bar{S}}_{comp}^{'} = [- 0.114, 0.957, 0.071]$	0.978	0.966

	Quadrant 1	Quadrant 2
$S_{ideal}^{'}$	$\frac{- 1}{\sqrt{3}} [1, 1, 1]$	$\frac{1}{\sqrt{3}} [- 1, 1, 1]$
${\bar{S}}_{\exp}^{'}$	[−0.44,−0.70,−0.51]	[−0.50,0.58,0.51]
$U$	0.93	0.88
$F$	0.96	0.94
	Quadrant 3	Quadrant 4
$S_{ideal}^{'}$	$\frac{1}{\sqrt{3}} [1, 1, - 1]$	$\frac{1}{\sqrt{3}} [1, - 1, 1]$
${\bar{S}}_{\exp}^{'}$	[0.53,0.41,−0.48]	[0.49,−0.43,0.61]
$U$	0.88	0.95
$F$	0.93	0.97

Polarization Field	Fidelity, $F$	Uniformity, $U$
Precorrected state, ${\bar{S}}_{i j}$	0.799	0.632
Corrected state, ${\bar{S}}_{i j}^{'}$	0.933	0.869
% Difference	17%	38%

Polarization State	Fidelity, $F$	Uniformity, $U$
$S_{ideal} = [0, 1, 0]$	1	1
${\bar{S}}_{\exp} = [0.075, 0.986, 0.012]$	0.993	0.988
${\bar{S}}_{\bar{comp}}^{'} = [0.244, 0.056, - 0.889]$	0.528	0.924
${\bar{S}}_{comp}^{'} = [- 0.114, 0.957, 0.071]$	0.978	0.966

	Quadrant 1	Quadrant 2
$S_{ideal}^{'}$	$\frac{- 1}{\sqrt{3}} [1, 1, 1]$	$\frac{1}{\sqrt{3}} [- 1, 1, 1]$
${\bar{S}}_{\exp}^{'}$	[−0.44,−0.70,−0.51]	[−0.50,0.58,0.51]
$U$	0.93	0.88
$F$	0.96	0.94
	Quadrant 3	Quadrant 4
$S_{ideal}^{'}$	$\frac{1}{\sqrt{3}} [1, 1, - 1]$	$\frac{1}{\sqrt{3}} [1, - 1, 1]$
${\bar{S}}_{\exp}^{'}$	[0.53,0.41,−0.48]	[0.49,−0.43,0.61]
$U$	0.88	0.95
$F$	0.93	0.97

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Equations (9)

Applied Optics