Modal properties of periodically segmented waveguides (PSW) are analyz
ed by using the beam-propagation method and the coupled-mode theory. T
he modal effective indices in a PSW are shown to be equal to those of
a continuous waveguide with an averaged DELTAn. As a result, guided mo
des spread out, particularly those that are not strongly guided. The r
adiation loss is shown to oscillate with most of the waveguide paramet
ers. In practical terms, this loss can be made negligible even for lon
g periods. The results can be applied to the design of novel waveguide
devices such as two-dimensional mode tapers and frequency-selective c
ouplers.