Phase-space rotations and orbital Stokes parameters

T. Alieva, M.J. Bastiaans

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Abstract

We introduce the orbital Stokes parameters as a linear combination of a beam's second-order moments. Similar to the ones describing the field polarization and associated with beam energy and its spin angular momentum, the orbital Stokes parameters are related to the total beam width and its orbital angular momentum. We derive the transformation laws for these parameters during beam propagation through first-order optical systems associated with phase-space rotations. The values of the orbital Stokes parameters for Gaussian modes and arbitrary fields expressed as their linear superposition are obtained.
Original languageEnglish
Pages (from-to)410-412
Number of pages3
JournalOptics Letters
Volume34
Issue number4
DOIs
Publication statusPublished - 2009

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orbitals
angular momentum
moments
propagation
polarization
energy

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Alieva, T. ; Bastiaans, M.J. / Phase-space rotations and orbital Stokes parameters. In: Optics Letters. 2009 ; Vol. 34, No. 4. pp. 410-412.
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Phase-space rotations and orbital Stokes parameters. / Alieva, T.; Bastiaans, M.J.

In: Optics Letters, Vol. 34, No. 4, 2009, p. 410-412.

Research output: Contribution to journalArticleAcademicpeer-review

TY - JOUR

T1 - Phase-space rotations and orbital Stokes parameters

AU - Alieva, T.

AU - Bastiaans, M.J.

PY - 2009

Y1 - 2009

N2 - We introduce the orbital Stokes parameters as a linear combination of a beam's second-order moments. Similar to the ones describing the field polarization and associated with beam energy and its spin angular momentum, the orbital Stokes parameters are related to the total beam width and its orbital angular momentum. We derive the transformation laws for these parameters during beam propagation through first-order optical systems associated with phase-space rotations. The values of the orbital Stokes parameters for Gaussian modes and arbitrary fields expressed as their linear superposition are obtained.

AB - We introduce the orbital Stokes parameters as a linear combination of a beam's second-order moments. Similar to the ones describing the field polarization and associated with beam energy and its spin angular momentum, the orbital Stokes parameters are related to the total beam width and its orbital angular momentum. We derive the transformation laws for these parameters during beam propagation through first-order optical systems associated with phase-space rotations. The values of the orbital Stokes parameters for Gaussian modes and arbitrary fields expressed as their linear superposition are obtained.

U2 - 10.1364/OL.34.000410

DO - 10.1364/OL.34.000410

M3 - Article

VL - 34

SP - 410

EP - 412

JO - Optics Letters

JF - Optics Letters

SN - 0146-9592

IS - 4

ER -