Graded monomode fibres and planar waveguides

Abstract
A method is presented for the analytical characterisation of monomode, circularly symmetric or planar, waveguides with arbitrary refractive-index profiles in terms of much simpler ‘equivalent waveguides’. The method is also used to derive the only known examples of practically significant monomode-fibre profiles with completely analytical descriptions, i.e. not even requiring the solution of an eigenvalue equation.

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