Abstract: Corrections to classical radiometry are considered for the case of a uniform medium. The corrections represent wave effects of physical optics and the effects of partial coherence. New results include integral transforms and infinite series connecting the real and imaginary parts of Walther's distribution function and the Wigner function; infinite series representing all the corrections to the evolution of different distributions along rays; and estimates and comparisons of the degree to which different distribution functions are conserved along rays. In addition, a new distribution function is presented, which is exactly conserved along rays.!6
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