Fiber-to-planar waveguide couplers find their applications in different kinds of optoelectronic devices such as polarizers [1], switchers [2], channel dropping filters [3], and others. The basic theoretical approach to investigate parameters of these devices is a coupling mode theory [4]. In this work we propose a simple method to calculate the coefficients of an excitation of all modes of the multimode composite structure by fiber mode at the junction: fiber - fiber with overlay waveguide. For the sake of simplicity fibers have been substituted by equivalent planar waveguides. Parameters of the equivalent waveguides can be chosen using a useful variational method [5]. The structure under consideration is shown in Fig. 1.
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