The equivalent network approach has been applied to the guided wave problems in the dielectric thin-film waveguides for optical integrated circuits. This approach utilizes transmission lines and equivalent networks which furnish physical insight, and application of the so-called transverse resonance technique yields, in very simple fashion, approximate but fairly accurate analytical expressions for the dispersion relations of the dielectric thin-film waveguides. The results computed from these relations for the optical strip waveguide and the rib waveguide which have recently received considerable attention agree well with the results of the numerical approaches.