A method for computing guided waves in integrated optics. part I: Mathematical analysis

Electromagnetic waveguides in integrated optics are propagation structures which are invariant under translation in one space direction and whose cros s section is a local perturbation of a strati ed medium. In this paper, we propose a new method for computing the guided modes of such devices under t he weak guiding assumption. The method results from a combination of analyt ical techniques which take into account the unbounded and strati ed charact er of the propagation medium so that numerical computations can be reduced to a neighborhood of the perturbation.