Generalized van Cittert-Zernike theorem for the cross-spectral density matrix of quasi-homogeneous planar electromagnetic sources

Oscar G. Rodríguez-Herrera, J Scott Tyo

Research output: Contribution to journalArticle

12 Citations (Scopus)

Abstract

A generalized van Cittert-Zernike theorem for the cross-spectral density matrix of quasi-homogeneous planar electromagnetic sources is introduced. We present theoretical examples of using this theorem to generate fields with interesting polarization and spatial coherence properties by choosing the appropriate spectral density distribution of the source. We found that under certain conditions, a quasi-homogeneous, polarized source may produce a beam in the far field that is unpolarized in the typical one-point sense but polarized in the two-point, mutual polarization sense.

Original languageEnglish (US)
Pages (from-to)1939-1947
Number of pages9
JournalJournal of the Optical Society of America A: Optics and Image Science, and Vision
Volume29
Issue number9
DOIs
StatePublished - Sep 1 2012

Fingerprint

Spectral density
Electromagnetic Phenomena
trucks
theorems
Polarization
electromagnetism
polarization
density distribution
far fields

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics
  • Electronic, Optical and Magnetic Materials
  • Computer Vision and Pattern Recognition

Cite this

@article{6237c047321448058d66dc6170e8ebb1,
title = "Generalized van Cittert-Zernike theorem for the cross-spectral density matrix of quasi-homogeneous planar electromagnetic sources",
abstract = "A generalized van Cittert-Zernike theorem for the cross-spectral density matrix of quasi-homogeneous planar electromagnetic sources is introduced. We present theoretical examples of using this theorem to generate fields with interesting polarization and spatial coherence properties by choosing the appropriate spectral density distribution of the source. We found that under certain conditions, a quasi-homogeneous, polarized source may produce a beam in the far field that is unpolarized in the typical one-point sense but polarized in the two-point, mutual polarization sense.",
author = "Rodr{\'i}guez-Herrera, {Oscar G.} and Tyo, {J Scott}",
year = "2012",
month = "9",
day = "1",
doi = "10.1364/JOSAA.29.001939",
language = "English (US)",
volume = "29",
pages = "1939--1947",
journal = "Journal of the Optical Society of America A: Optics and Image Science, and Vision",
issn = "1084-7529",
publisher = "The Optical Society",
number = "9",

}

TY - JOUR

T1 - Generalized van Cittert-Zernike theorem for the cross-spectral density matrix of quasi-homogeneous planar electromagnetic sources

AU - Rodríguez-Herrera, Oscar G.

AU - Tyo, J Scott

PY - 2012/9/1

Y1 - 2012/9/1

N2 - A generalized van Cittert-Zernike theorem for the cross-spectral density matrix of quasi-homogeneous planar electromagnetic sources is introduced. We present theoretical examples of using this theorem to generate fields with interesting polarization and spatial coherence properties by choosing the appropriate spectral density distribution of the source. We found that under certain conditions, a quasi-homogeneous, polarized source may produce a beam in the far field that is unpolarized in the typical one-point sense but polarized in the two-point, mutual polarization sense.

AB - A generalized van Cittert-Zernike theorem for the cross-spectral density matrix of quasi-homogeneous planar electromagnetic sources is introduced. We present theoretical examples of using this theorem to generate fields with interesting polarization and spatial coherence properties by choosing the appropriate spectral density distribution of the source. We found that under certain conditions, a quasi-homogeneous, polarized source may produce a beam in the far field that is unpolarized in the typical one-point sense but polarized in the two-point, mutual polarization sense.

UR - http://www.scopus.com/inward/record.url?scp=84866561405&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84866561405&partnerID=8YFLogxK

U2 - 10.1364/JOSAA.29.001939

DO - 10.1364/JOSAA.29.001939

M3 - Article

C2 - 23201951

AN - SCOPUS:84866561405

VL - 29

SP - 1939

EP - 1947

JO - Journal of the Optical Society of America A: Optics and Image Science, and Vision

JF - Journal of the Optical Society of America A: Optics and Image Science, and Vision

SN - 1084-7529

IS - 9

ER -