Multiscale theory of nonlinear wavepacket propagation in a planar optical waveguide

In this paper, the multiscale expansion formalism is applied for the first time, to our knowledge, in nonlinear planar optical waveguides. This formalism permits us to describe the linear and nonlinear propagation for both transverse electric and transverse magnetic modes. The modal field distributions and the nonlinear coefficient in the nonlinear Schrödinger equation are highlighted