The wave-based generalized radiance definitions presented in a previous manuscript [J. Opt. Soc. A 18, 902 (2001)] for two-dimensional coherent monochromatic fields in free space are extended here to the three-dimensional case. These new definitions preserve all the properties of their two-dimensional analogs. Notably, they are exactly conserved along rays and well suited for the description of fields traveling in all directions. The different members of this set of functions are seen to correspond to weighted radial projections in momentum of the Wigner function of the field.
© 2001 Optical Society of America
Original Manuscript: July 6, 2000
Revised Manuscript: September 25, 2000
Manuscript Accepted: October 18, 2000
Published: April 1, 2001
M. A. Alonso, "Radiometry and wide-angle wave fields. II. Coherent fields in three dimensions," J. Opt. Soc. Am. A 18, 910-918 (2001)