A new class of resonant exchange of power among three co-propagating m
odes in dielectric optical waveguides exhibiting Ken-like nonlinearity
is reported. Unlike the coupling of modes travelling in different, sp
atially separated channels as in the directional coupler (Jensen, IEEE
J. Quantum Electron. QE-18 (1982) 1580; Chen, Snyder and Mitchell, El
ectron. Lett. 26 (1990) 77; Schmidt-Hattenberger, Trutschel and Ledere
r, Optics Lett. 16 (1991) 294) this paper points out the possibility o
f obtaining an efficient coupling of modes travelling in one single ch
annel. The key point here is the imposition of a geometrical resonance
between modes, to improve the coupling process. Due to this resonance
condition, which is related with the wavelength through the propagati
on constants, the power exchange process is very sensitive to the wave
length.