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Degree of coherence for vectorial electromagnetic fields as the distance between correlation matrices
Author(s) -
Alfredo Luis
Publication year - 2007
Publication title -
journal of the optical society of america a
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.803
H-Index - 158
eISSN - 1520-8532
pISSN - 1084-7529
DOI - 10.1364/josaa.24.001063
Subject(s) - degree of coherence , coherence (philosophical gambling strategy) , coherence theory , physics , interferometry , optics , mutual coherence , electromagnetic field , scalar (mathematics) , coherence length , degree (music) , visibility , electromagnetic radiation , matrix (chemical analysis) , mathematical analysis , mathematics , quantum mechanics , geometry , superconductivity , acoustics , materials science , composite material
We assess the degree of coherence of vectorial electromagnetic fields in the space-frequency domain as the distance between the cross-spectral density matrix and the identity matrix representing completely incoherent light. This definition is compared with previous approaches. It is shown that this distance provides an upper bound for the degree of coherence and visibility for any pair of scalar waves obtained by linear combinations of the original fields. This same approach emerges when applying a previous definition of global coherence to a Young interferometer.

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