Intensity and spin anisotropy of three-dimensional polarization states

José J. Gil; Andreas Norrman; Ari T. Friberg; Tero Setälä

doi:10.1364/OL.44.003578

Optics Letters
Vol. 44,
Issue 14,
pp. 3578-3581
(2019)
•https://doi.org/10.1364/OL.44.003578

Intensity and spin anisotropy of three-dimensional polarization states

José J. Gil, Andreas Norrman, Ari T. Friberg, and Tero Setälä

Not Accessible

Your library or personal account may give you access

Get PDF
Email
Share
Get Citation
Copy Citation Text
José J. Gil, Andreas Norrman, Ari T. Friberg, and Tero Setälä, "Intensity and spin anisotropy of three-dimensional polarization states," Opt. Lett. 44, 3578-3581 (2019)

Export Citation
- BibTex
- Endnote (RIS)
- HTML
- Plain Text
Citation alert
Save article

Check for updates

Abstract

Anisotropy is a natural feature of polarization states, and only fully random three-dimensional (3D) states exhibit complete isotropy. In general, differences between the strengths of the electric field components along the three orthogonal directions give rise to intensity anisotropy. Moreover, polarization states involve an average spin whose inherent vectorial nature constitutes a source of spin anisotropy. In this work, appropriate descriptors are identified to characterize quantitatively the levels of intensity anisotropy and spin anisotropy of a general 3D polarization state, leading to a novel interpretation for the degree of polarimetric purity as a measure describing the overall polarimetric anisotropy of a 3D optical field. The mathematical representation, as well as the physical features of completely intensity-isotropic 3D polarization states with a maximum spin anisotropy, are also examined. The results provide new insights into the polarimetric field structure of random 3D electromagnetic light states.

Full Article | PDF Article

More Like This

Nonregularity of three-dimensional polarization states

José J. Gil, Andreas Norrman, Ari T. Friberg, and Tero Setälä
Opt. Lett. 43(19) 4611-4614 (2018)

Components of purity of a three-dimensional polarization state

José J. Gil
J. Opt. Soc. Am. A 33(1) 40-43 (2016)

Polarimetric nonregularity of evanescent waves

Andreas Norrman, José J. Gil, Ari T. Friberg, and Tero Setälä
Opt. Lett. 44(2) 215-218 (2019)

Previous Article Next Article

Cited By

You do not have subscription access to this journal. Cited by links are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Tables (2)

You do not have subscription access to this journal. Article tables are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Equations (13)

You do not have subscription access to this journal. Equations are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

$P_{c} = 0$	$0 < P_{c} < 2 / 3$	$P_{c} = 2 / 3$
rank ${\hat{R}}_{I} = 3$	rank ${\hat{R}}_{I} = 3$	rank ${\hat{R}}_{I} = 2$
$P_{3 D} = 0$	$0 < P_{3 D} < 1 / \sqrt{3}$	$P_{3 D} = 1 / \sqrt{3}$
${\hat{R}}_{I} = {\hat{R}}_{u - 3 D}$	${\hat{R}}_{I} \neq {\hat{R}}_{u - 3 D}$	${\hat{R}}_{I} \neq {\hat{R}}_{u - 3 D}$

Pure States
Linearly Polarized	Circularly Polarized	Elliptically Polarized
$d = 1$	$d = 1 / 2$	$1 / 2 < d < 1$
$P_{c} = 0$	$P_{c} = 1$	$0 < P_{c} < 1$
$P_{3 D} = 1$	$P_{3 D} = 1$	$P_{3 D} = 1$

2D Mixed States
2D Partially Polarized		2D Unpolarized
$1 / 2 < d < 1$		$d = 1 / 2$
$0 < P_{c} < 1$		$P_{c} = 0$
$1 / 2 < P_{3 D} < 1$		$P_{3 D} = 1 / 2$
Genuine 3D States
Intensity-Anisotropic	Intensity-Isotropic with $P_{c} = 2 / 3$	Intensity-Isotropic with $0 < P_{c} < 2 / 3$	Isotropic
$0 < d < 1$	$d = 0$	$d = 0$	$d = 0$
$0 < P_{c} < 1$	$P_{c} = 2 / 3$	$0 < P_{c} < 2 / 3$	$P_{c} = 0$
$0 < P_{3 D} < 1$	$P_{3 D} = 1 / \sqrt{3}$	$0 < P_{3 D} < 1 / \sqrt{3}$	$P_{3 D} = 0$

$P_{c} = 0$	$0 < P_{c} < 2 / 3$	$P_{c} = 2 / 3$
rank ${\hat{R}}_{I} = 3$	rank ${\hat{R}}_{I} = 3$	rank ${\hat{R}}_{I} = 2$
$P_{3 D} = 0$	$0 < P_{3 D} < 1 / \sqrt{3}$	$P_{3 D} = 1 / \sqrt{3}$
${\hat{R}}_{I} = {\hat{R}}_{u - 3 D}$	${\hat{R}}_{I} \neq {\hat{R}}_{u - 3 D}$	${\hat{R}}_{I} \neq {\hat{R}}_{u - 3 D}$

Pure States
Linearly Polarized	Circularly Polarized	Elliptically Polarized
$d = 1$	$d = 1 / 2$	$1 / 2 < d < 1$
$P_{c} = 0$	$P_{c} = 1$	$0 < P_{c} < 1$
$P_{3 D} = 1$	$P_{3 D} = 1$	$P_{3 D} = 1$

Abstract

Cited By

Tables (2)

Equations (13)

Optics Letters