We analyze polarization splitting of light in directional-coupler pola
rizers by using a transverse modal transmission-line representation. B
ecause it is based on rigorous modal solutions, this approach provides
very accurate results and can be applied to situations involving eith
er lossy or gainy materials, By considering a polarizer in which multi
quantum-well layers act as one of the two waveguides forming the coupl
ing region, we find that maximum polarization discrimination is achiev
ed at an optimal distance that is different from the polarization leng
th predicted by conventional coupled-mode methods. We derive a novel c
riterion for determining that optimal length, examine the effect of ma
terial loss or gain, and obtain the far-held intensity of the light at
the output of the coupler.