Physics
Scientific paper
Aug 1951
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1951rspsa.208..263h&link_type=abstract
Proceedings of the Royal Society of London. Series A, Mathematical and Physical Sciences, Volume 208, Issue 1093, pp. 263-277
Physics
51
Scientific paper
It is shown that a 'phase-coherence factor' may be defined in a manner which leads, without recourse to explicit statistical analysis, to the theorems established by van Cittert (1934) and Zernike (1938) for analogous factors. An invalid approximation made in their calculations of the phase-coherence factor for a plane illuminated directly by a source is corrected. The new treatment is applied to the theory of Young's experiment, the stellar interferometer, and illumination in the microscope. The phase-coherence factor defined here enables a general theory of the formation of optical images to be formulated. Further, it is shown that the diameter of the area of coherence on a plane illuminated by a source of angular radius α is given by d = 0\cdot 16λ/N sin α, where N is the refractive index of the intervening medium.
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