The theory of ultrabroadband multifrequency Raman generation is extended, f
or the first time, to allow for beam-propagation effects in one and two tra
nsverse dimensions. We show that a complex transverse structure develops ev
en when diffraction is neglected. Tn the general case, we examine how the u
ltrabroadband multifrequency Raman generation process is affected by the in
tensity, phase quality, and width of the input beams, and by the length of
the Raman medium. The evolution of power spectra, intensity profiles, and g
lobal characteristics of the multifrequency beams are investigated and expl
ained. In the two-dimensional transverse case, bandwidths comparable to the
optical carrier frequency, spanning the whole visible spectrum and beyond,
are still achievable. (C) 2000 Optical Society of America [S0740-3224(00)0
1408-9] OCIS codes: 190.2620, 190.4380, 190.4410, 190.4420, 290.5910.