Coupled mode analysis of a periodic one-dimensional multimodal fiber bundle

This contribution is a mathematical analysis of the coupled mode equations of a one dimensional infinite periodic lattice of multimodal adjacent fibers that are fused together (a "fiber bundle"). As such, it provides a systematic and detailed derivation of the coupled mode equations and their eigen (modal) solutions within a matrixbased framework and using Z-transform spectral-based formulation. The resulting solution is general in the sense that it is not restricted to a particular dielectric profile of the fibers. Moreover, under a weak coupling assumption, the modal solution clearly identifies the physical building blocks of the solution.