Journal ArticleDOI
Angular Correlation and the Far-Zone Behavior of Partially Coherent Fields*
Erich W. Marchand,Emil Wolf +1 more
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In this article, the angular correlation function of a stationary optical field is introduced, which characterizes the correlation that exists between the complex amplitudes of any two plane waves in the angular spectrum description of the statistical ensemble that represents the field.Abstract:
In the first part of this paper, the concept of the angular correlation function of a stationary optical field is introduced. This function characterizes the correlation that exists between the complex amplitudes of any two plane waves in the angular spectrum description of the statistical ensemble that represents the field. Relations between this function and the more commonly known correlation functions are derived. In particular, it is shown that the angular correlation function is essentially the four-dimensional spatial Fourier transform of the cross-spectral density function of the source. The angular correlation function is shown to characterize completely the second-order coherence properties of the far field. An expression for the intensity distribution in the far zone of a field generated by a source of any state of coherence is deduced. Some generalizations of the far-zone form of the Van Cittert–Zernike theorem are also obtained.read more
Citations
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Journal ArticleDOI
Coherence and radiometry with quasihomogeneous planar sources
William H. Carter,Emil Wolf +1 more
TL;DR: In this paper, the concept of quasihomogeneous sources is introduced and an important reciprocity relation is shown to exist between light in the far zone and in the source plane, which implies that the degree of coherence in far zone is given by the classic form of the van Cittert-Zernike theorem, even though the source may have a high degree of spatial coherence over arbitrarily large areas.
Journal ArticleDOI
Coherence and radiometry
TL;DR: In this article, the relationship between the state of coherence of a source and the directionality of the light that the source generates is discussed. But the authors do not discuss the relationship of the two properties.
Journal ArticleDOI
Is complete spatial coherence necessary for the generation of highly directional light beams
Edward Collett,Emil Wolf +1 more
TL;DR: An equivalence theorem is formulated that provides conditions under which planar sources of different states of spatial coherence will generate optical fields that have identical far-zone intensity distributions.
Journal ArticleDOI
Field theory for generalized bidirectional reflectivity: derivation of Helmholtz’s reciprocity principle and Kirchhoff’s law
TL;DR: In this article, a generalized bidirectional distribution function (BRDF) was proposed to describe the specific intensity of the scattered light from a semi-infinite medium to the incident light in the framework of coherence theory.
Journal ArticleDOI
Radiometry with sources of any state of coherence
Erich W. Marchand,Emil Wolf +1 more
TL;DR: In this article, the basic laws of radiometry are generalized to fields generated by a two-dimensional stationary source of any state of coherence, and the concepts of generalized radiant emittance and generalized radiant intensity are introduced.
References
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Journal ArticleDOI
Radiometry and coherence
TL;DR: The basic laws of photometry are derived from the theory of partial coherence by considering a generalized form of the Van Cittert-Zernike theorem as discussed by the authors, which is a generalization of the partial-coherence theorem.
Journal ArticleDOI
The mutual coherence of incoherent radiation
M. Beran,G. Parrent +1 more
TL;DR: In this paper, it was shown that the Dirac δ-function form, often assumed for the mutual power spectrum, which is used to represent incoherent radiation, may be replaced by the finite form: {fx1049-1}, where\( \hat I \) (S1, ν) is the power spectrum of the radiation.