Using a simple approach based on the scalar finite element method, pro
pagation characteristics of multilayer channel waveguides are calculat
ed. The effective index, modal field, confinement factor, far-field in
tensity pattern, and radiation angle of the far-field pattern (full wi
dth at half maximum intensity) for multilayer channel waveguides forme
d with multiple quantum well (MQW) materials and with the MQW material
s replaced by a single homogeneous material with the root mean square
value of the refractive indexes are compared. Numerical results confir
m that the root-mean-square-value approximation, which has been widely
used for planar MQW (two-dimensional) waveguides, is useful also for
MQW channel (three-dimensional) waveguides with a large number of laye
rs.