Abstract
Since the publication of an important paper by A. Walther [1] in 1968, several authors [2] 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.
Research supported in part by a grant from the Alfred Kordelin Foundation (Finland) and by the U.S. Army Research Office.
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References
A. Walther, J. Opt. Soc. Am. 58, 1256 (1968).
See, for example, the review article by H.P. Baltes, Appl. Phys. 12, 221 (1977), Sec. 3, and the references cited therein.
E.W. Marchand and E. Wolf, J. Opt. Soc. Am. 64, 1219 (1974).
A. Walther, J. Opt. Soc. Am. 63, 1622 (1973).
E.W. Marchand and E. Wolf, J. Opt. Soc. Am. 64, 1273 (1974).
c) A. Walther, J. Opt. Soc. Am. 64, 1275 (1974).
See, for example, R.L. Stratonovich, Topics in the Theory of Random Functions (Gordon and Breach, New York, 1963 ) Vol. 1, p. 28.
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.
Actually the proportionality factor is trivially dependent on s itself, but this dependence is of no consequence here.
The radiance function defined by Eq. (8) is also used, for example, by a) P.W. Hawkes, Optik 47, 453 (1977);
W.H. Carter and E. Wolf, J. Opt. Soc. Am. 67, 785 (1977).
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;
b) M.D. Srinivas and E. Wolf, Phys. Rev. D 11, 1477 (1975).
E.P. Wigner, Phys. Rev. 40, 749 (1932).
H. Margenau and R.N. Hill, Progr. Theoret. Phys. (Kyoto) 26, 722 (1961).
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Friberg, A.T. (1978). On the Existence of a Radiance Function for a Partially Coherent Planar Source. In: Mandel, L., Wolf, E. (eds) Coherence and Quantum Optics IV. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-0665-9_48
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DOI: https://doi.org/10.1007/978-1-4757-0665-9_48
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