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This paper presents a novel formalism based on the application of the generalized telegrapher's equations to the modeling and designing of integrated electrooptical devices. In this approach, we eliminate the restrictions commonly introduced in the past, such as a weakly guiding condition and isotropic unperturbed medium, while evaluating the modulator time response to an arbitrary modulating signal. Small dielectric perturbations and a large difference between the optical and modulating signal frequencies are the only hypotheses used in deriving the linear model. By applying a multiple-scale perturbation method, we reach an analytical solution to the problem of multipolarization interaction. Some applications are discussed.