Experimental determination of electric cross-spectral density matrix and generalized Stokes parameters for a laser beam

Bhaskar Kanseri; Hem Chandra Kandpal

doi:10.1364/OL.33.002410

Optics Letters
Vol. 33,
Issue 20,
pp. 2410-2412
(2008)
•https://doi.org/10.1364/OL.33.002410

Experimental determination of electric cross-spectral density matrix and generalized Stokes parameters for a laser beam

Bhaskar Kanseri and Hem Chandra Kandpal

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Bhaskar Kanseri and Hem Chandra Kandpal, "Experimental determination of electric cross-spectral density matrix and generalized Stokes parameters for a laser beam," Opt. Lett. 33, 2410-2412 (2008)

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Abstract

We report an experimental method to determine the elements of the electric cross-spectral density matrix for laser light. For this purpose an additional setup consisting of mirrors and reflecting prisms is utilized with the conventional Young’s interferometer to overcome existing experimental limitations. The generalized Stokes parameters, which are the characteristics of two spatial points of the electromagnetic field, are also obtained for a pair of points. The knowledge of these two quantities might be useful in determining the change in polarization properties of light in propagation and their effects in optical measurements.

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$η_{x x} (r_{1}, r_{2}, ω)$	$0.84 \pm 0.09$	$W_{x x} (r_{1}, r_{2}, ω)$	$410.6 \pm 4.0$
$η_{x y} (r_{1}, r_{2}, ω)$	$0.32 \pm 0.06$	$W_{x y} (r_{1}, r_{2}, ω)$	$118.2 \pm 1.6$
$η_{y x} (r_{1}, r_{2}, ω)$	$0.24 \pm 0.04$	$W_{y x} (r_{1}, r_{2}, ω)$	$119.7 \pm 1.8$
$η_{y y} (r_{1}, r_{2}, ω)$	$0.71 \pm 0.08$	$W_{y y} (r_{1}, r_{2}, ω)$	$366.4 \pm 3.4$


$S_{0} (r_{1}, r_{2}, ω)$	$777.0 \pm 5.1$
$S_{1} (r_{1}, r_{2}, ω)$	$44.2 \pm 2.5$
$S_{2} (r_{1}, r_{2}, ω)$	$237.9 \pm 2.4$
$S_{3} (r_{1}, r_{2}, ω)$	$(1.5 \pm 0.81) i$


$η_{x x} (r_{1}, r_{2}, ω)$	$0.84 \pm 0.09$	$W_{x x} (r_{1}, r_{2}, ω)$	$410.6 \pm 4.0$
$η_{x y} (r_{1}, r_{2}, ω)$	$0.32 \pm 0.06$	$W_{x y} (r_{1}, r_{2}, ω)$	$118.2 \pm 1.6$
$η_{y x} (r_{1}, r_{2}, ω)$	$0.24 \pm 0.04$	$W_{y x} (r_{1}, r_{2}, ω)$	$119.7 \pm 1.8$
$η_{y y} (r_{1}, r_{2}, ω)$	$0.71 \pm 0.08$	$W_{y y} (r_{1}, r_{2}, ω)$	$366.4 \pm 3.4$


$S_{0} (r_{1}, r_{2}, ω)$	$777.0 \pm 5.1$
$S_{1} (r_{1}, r_{2}, ω)$	$44.2 \pm 2.5$
$S_{2} (r_{1}, r_{2}, ω)$	$237.9 \pm 2.4$
$S_{3} (r_{1}, r_{2}, ω)$	$(1.5 \pm 0.81) i$

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Equations (7)

Optics Letters