Abstract

The explicit form of the cross-spectral density function characterizing a large homogeneous 1-D Lambertian source is derived, and the associated coherent-mode representation in the space-frequency domain is developed. The buildup of the total radiant intensity from the various coherent-mode contributions is analyzed with proper account taken of the mode strengths. The results are compared with analogous results pertaining to a 1-D spatially strictly incoherent source. It is found that differences in the strengths of certain modes lead to a clear physical explanation of the characteristically different radiation properties of these two types of source.

© 1984 Optical Society of America

Coherence properties of lambertian and non-lambertian sources*

W. H. Carter and E. Wolf
J. Opt. Soc. Am. 65(9) 1067-1071 (1975)

Coherent-mode representation of Gaussian Schell-model sources and of their radiation fields

A. Starikov and E. Wolf
J. Opt. Soc. Am. 72(7) 923-928 (1982)

Completeness of coherent-mode eigenfunctions of Schell-model sources

Emil Wolf
Opt. Lett. 9(9) 387-389 (1984)

Sources of arbitrary states of coherence that generate completely coherent fields outside the source

Greg Gbur and Emil Wolf
Opt. Lett. 22(13) 943-945 (1997)

Radiometry with sources of any state of coherence*

E. W. Marchand and E. Wolf
J. Opt. Soc. Am. 64(9) 1219-1226 (1974)