Effective degree of coherence: A second look

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Effective degree of coherence : A second look. / Blomstedt, Kasimir; Setälä, Tero; Friberg, Ari T.

In: JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A: OPTICS IMAGE SCIENCE AND VISION, Vol. 32, No. 5, 01.05.2015, p. 718-732.

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@article{2e8b074b3637456486b4d1cad07ef664,
title = "Effective degree of coherence: A second look",
abstract = "In this paper, we show that the most general set of transformations of electromagnetic fields, for which overall (global) second-order coherence properties can reasonably be expected to remain unchanged, is the set of scaled unitary transformations. Building on our earlier results concerning coherence functionals that are invariant to scaled unitary transformations, we prove that the effective degree of coherence is the only such functional that is {"}additive{"} in the sense that it can be computed for linear combinations of fields from its values for pairwise sums of the constituent fields. Additionally, we highlight the fact that the invariance of the effective degree of coherence to scaled unitary transformations means that it has the same value when computed from most of the important representations of electromagnetic fields. We then go on to use the effective degree of coherence to provide a generalization of the scalar two-point degree-of-coherence function to a system consisting of two orthogonal Hilbert spaces. Interestingly, several commonly used measures of coherence and polarization turn out to be special cases of this generalization.",
keywords = "polarization, spatial coherence, vectorial electromagnetic fields, polarization, spatial coherence, vectorial electromagnetic fields, polarization, spatial coherence, vectorial electromagnetic fields",
author = "Kasimir Blomstedt and Tero Set{\"a}l{\"a} and Friberg, {Ari T.}",
year = "2015",
month = "5",
day = "1",
doi = "10.1364/JOSAA.32.000718",
language = "English",
volume = "32",
pages = "718--732",
journal = "JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A: OPTICS IMAGE SCIENCE AND VISION",
issn = "1084-7529",
publisher = "The Optical Society",
number = "5",

}

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TY - JOUR

T1 - Effective degree of coherence

T2 - A second look

AU - Blomstedt, Kasimir

AU - Setälä, Tero

AU - Friberg, Ari T.

PY - 2015/5/1

Y1 - 2015/5/1

N2 - In this paper, we show that the most general set of transformations of electromagnetic fields, for which overall (global) second-order coherence properties can reasonably be expected to remain unchanged, is the set of scaled unitary transformations. Building on our earlier results concerning coherence functionals that are invariant to scaled unitary transformations, we prove that the effective degree of coherence is the only such functional that is "additive" in the sense that it can be computed for linear combinations of fields from its values for pairwise sums of the constituent fields. Additionally, we highlight the fact that the invariance of the effective degree of coherence to scaled unitary transformations means that it has the same value when computed from most of the important representations of electromagnetic fields. We then go on to use the effective degree of coherence to provide a generalization of the scalar two-point degree-of-coherence function to a system consisting of two orthogonal Hilbert spaces. Interestingly, several commonly used measures of coherence and polarization turn out to be special cases of this generalization.

AB - In this paper, we show that the most general set of transformations of electromagnetic fields, for which overall (global) second-order coherence properties can reasonably be expected to remain unchanged, is the set of scaled unitary transformations. Building on our earlier results concerning coherence functionals that are invariant to scaled unitary transformations, we prove that the effective degree of coherence is the only such functional that is "additive" in the sense that it can be computed for linear combinations of fields from its values for pairwise sums of the constituent fields. Additionally, we highlight the fact that the invariance of the effective degree of coherence to scaled unitary transformations means that it has the same value when computed from most of the important representations of electromagnetic fields. We then go on to use the effective degree of coherence to provide a generalization of the scalar two-point degree-of-coherence function to a system consisting of two orthogonal Hilbert spaces. Interestingly, several commonly used measures of coherence and polarization turn out to be special cases of this generalization.

KW - polarization

KW - spatial coherence

KW - vectorial electromagnetic fields

KW - polarization

KW - spatial coherence

KW - vectorial electromagnetic fields

KW - polarization

KW - spatial coherence

KW - vectorial electromagnetic fields

UR - http://www.scopus.com/inward/record.url?scp=84959197223&partnerID=8YFLogxK

U2 - 10.1364/JOSAA.32.000718

DO - 10.1364/JOSAA.32.000718

M3 - Article

VL - 32

SP - 718

EP - 732

JO - JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A: OPTICS IMAGE SCIENCE AND VISION

JF - JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A: OPTICS IMAGE SCIENCE AND VISION

SN - 1084-7529

IS - 5

ER -

ID: 1739307