As the size of an arrayed waveguide grating (AWG) device decreases with a h
igh-index variable InP based material, the characteristic responses of an A
WG device designed by using the simple traditional rule deviate much from t
he design characteristics. As there are several approximations in the simpl
e traditional design rule, it is necessary to check the validities of the a
ssumptions or the approximations used in that rule. Here, the effect of the
intensity profile of a wavefront freely propagating through the slab waveg
uide is analyzed by comparing four different profile approximations, and th
e corresponding characteristic responses are simulated elaborately by using
a homemade computer simulation. The simulation with propagation mode diffr
action gives characteristic responses which are quite similar to those of t
he fabricated devices. Simulations with other profiles show inappropriate v
ariations in that the effective channel width and the noise level deviate f
rom realistic results. The simulations for a silica-based AWG show characte
ristic responses which are similar to each other, and the best simulation w
ith propagation mode diffraction gives a response which is quite similar to
the one of the fabricated device.