On the Existence of a Radiance Function for a Partially Coherent Planar Source
Since the publication of an important paper by A. Walther  in 1968, several authors  have studied radiometry taking into account the random nature of the optical wave field. The traditional radiometric quantities, commonly believed to apply to incoherent sources, have been generalized to pertain to planar sources of an arbitrary state of coherence [1,3]. The generalized formalism of radiometry is based on the second-order coherence theory and the generalized radiometric quantities are linear in the correlation function of the wave field at two points in the source plane.
Unable to display preview. Download preview PDF.
- 2.See, for example, the review article by H.P. Baltes, Appl. Phys. 12, 221 (1977), Sec. 3, and the references cited therein.Google Scholar
- 4. a)
- 5.See, for example, R.L. Stratonovich, Topics in the Theory of Random Functions (Gordon and Breach, New York, 1963 ) Vol. 1, p. 28.Google Scholar
- 6.The radiance is also known as the specific intensity or the brightness. For the customary definition of the radiance see, for example, S. Chandrasekhar, Radiative Transfer (Dover, New York, 1960) Section 1.Google Scholar
- 7.Actually the proportionality factor is trivially dependent on s itself, but this dependence is of no consequence here.Google Scholar
- 8.The radiance function defined by Eq. (8) is also used, for example, by a) P.W. Hawkes, Optik 47, 453 (1977);Google Scholar
- 8.See, for example, a) E.P. Wigner, contribution in Perspectives in Quantum Theory,ed. by W. Yourgrau and A. van der Merwe, (M.I.T. Press, Cambridge, Mass., 1971) pp. 25–36;Google Scholar