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The effect of spatial coherence of sources on synthetic aperture mapping

Published online by Cambridge University Press:  12 April 2016

Daniel F.V. James
Daniel F.V. James*
Affiliation:
The Institute of Optics, University of Rochester, Rochester, NY 14627, U.S.A.

Extract

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The interferometric mapping of astronomical objects relies on the van-Cittert Zernike theorem, one of the major results of the theory of partially coherent light [see, Bom and Wolf (1980), chapter 10]. This theorem states that the degree of spatial coherence of the field from a distant spatially incoherent source is proportional to the Fourier transform of the intensity distribution across the source. Measurement of the degree of spatial coherence, by, for example, measuring the visibility of interference fringes, allows the object to be mapped by making an inverse Fourier transform. (For a full description of this technique see Thompson, Moran and Swenson, 1986.)

In this paper I present a summary of the results an investigation into what happens when the distant source is not spatially coherent (James, 1990). Using a heuristic model of a spherically symmetric partially coherent source, an analytic expression for the error in the measurement of the effective radius, expressed as a function of coherence area, can be obtained.

Type
Theory of Interferometery
Information
International Astronomical Union Colloquium , Volume 131: Radio Interferometry: Theory, Techniques, and Applications , 1991 , pp. 10 - 14
Copyright
Copyright © Astronomical Society of the Pacific 1991

References

Born, M. and Wolf, E. 1980, Principles of Optics, 6th ed.(Pergamon, Oxford).Google Scholar
Carter, W.H. and Wolf, E. 1981a, Optica Acta 28,227 Google Scholar
Carter, W.H. 1981b, Optica Acta 28,245.Google Scholar
James, D.F.V. 1990, Ap. J. 361, 650.Google Scholar
Mandel, L. and Wolf, E. 1976, J. Opt. Soc. Amer. 66, 529.Google Scholar
Schell, A.C. 1967, I. E. E. E. Trans. Antennas Propag. AP-15, 187.Google Scholar
Thompson, A.R., Moran, J.M. and Swenson, G.W. 1986, Interferometry and Synthesis in Radio Astronomy (Wiley, Chichester).Google Scholar
Wolf, E. 1983, Opt. Lett. 8, 250.CrossRefGoogle Scholar