Cross-spectral density matrix of a random electromagnetic beam propagating through an apertured axially nonsymmetrical optical system

Xinyue Du, Daomu Zhao, Olga Korotkova

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

Using the fact that a hard-edged rectangular aperture function can be approximated by a two-dimensional multi-Gaussian series, analytic formulas for the elements of the cross-spectral density matrix of a random electromagnetic beam truncated by a rectangular aperture and passing through an axially nonsymmetrical optical system is derived. The analysis is illustrated by numerical examples relating to changes in the spectral degree of polarization of electromagnetic Gaussian Schell-model beams propagating through free space, focal system and dual-focus system. In particular, the effect of the size of the hard aperture on the spectral degree of polarization of the beam along its optical axis is discussed.

Original languageEnglish (US)
Pages (from-to)4135-4140
Number of pages6
JournalPhysics Letters, Section A: General, Atomic and Solid State Physics
Volume372
Issue number22
DOIs
StatePublished - May 26 2008

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apertures
electromagnetism
polarization

Keywords

  • Axially nonsymmetrical optical system
  • Random electromagnetic beam
  • Rectangular aperture

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

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AU - Du, Xinyue

AU - Zhao, Daomu

AU - Korotkova, Olga

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Y1 - 2008/5/26

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AB - Using the fact that a hard-edged rectangular aperture function can be approximated by a two-dimensional multi-Gaussian series, analytic formulas for the elements of the cross-spectral density matrix of a random electromagnetic beam truncated by a rectangular aperture and passing through an axially nonsymmetrical optical system is derived. The analysis is illustrated by numerical examples relating to changes in the spectral degree of polarization of electromagnetic Gaussian Schell-model beams propagating through free space, focal system and dual-focus system. In particular, the effect of the size of the hard aperture on the spectral degree of polarization of the beam along its optical axis is discussed.

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KW - Random electromagnetic beam

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