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- Vincent Lescarret, Enrique Zuazua
- Math. Comput.
- 2015

We develop finite difference numerical schemes for a model arising in multi-body structures, previously analyzed by H. Koch and E. Zuazua [13], constituted by two n-dimensional wave equations coupled with a (n− 1)-dimensional one along a flexible interface. That model, under suitable assumptions on the speed of propagation in each media, is well-posed in… (More)

The propagation of modulated light in a 2d nonlinear photonic waveguide is investigated in the framework of diffractive optics. It is shown that the dynamics obeys a nonlinear Schrödinger equation at leading order. We compute the first and second corrector and show that the latter may describe some dispersive radiation through the structure. We prove the… (More)

This paper follows the work of Colin-Gallice-Laurioux [5] in which a new model generalising the Schrödinger model of the diffractive optics is derived for the laser propagation in nonlinear media. In particular, it provides good approximate solutions of the MaxwellLorentz system for highly oscillating initial data with broad spectrum. In real situations one… (More)

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