Waveguide bends are specially designed according to a matching condition
in order to suppress mode distortion and other undesirable effects. The
bend is structured having regard to its length and curvature to ensure
that at its end the first and second bend modes are substantially in
phase with each other having completed approximately an integer number of
beats. By being in phase at the end of the bend, the two modes are able
to properly reconstruct the first mode of the straight waveguide and
propagate on with a minimum of distortion, whether it be into a straight
section, a further curved section of arbitrary curvature, into a free
space propagation region and the like. This approach suppresses mode
distortion, transition losses and other negative effects of waveguide
bends. Device applications include couplers, Y-branches and Mach-Zehnder
interferometers, all of which include waveguide bends.