Abstract
Optical components based on geometrical and refractive index variations could be studied by coupled mode theory. For that we introduce a new coupling coefficient which takes into account not only the geometrical variations, but also the core refractive index variations along the propagation axis for the coupled mode theory. The results show that the coupling coefficient between modes can be separated in a sum of two coefficients. The first one is the classic coefficient which takes into account the radius variation along axis. The second one is reported in order to study the index variation. We examine with more details the effect of the core dopants diffusion due to the heating during the fabrication process. The concatenation of a biconical tapers and long period grating is presented.
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