Biomedical subjects

Jérôme Leon

Publications and source records attributed to Jérôme Leon.

2 recordsLinked to original sources

PubMed2006

Coexistence of Josephson oscillations and a novel self-trapping regime in optical waveguide arrays.

Considering the coherent nonlinear dynamics between two weakly linked optical waveguide arrays, we find the first example of coexistence of Josephson oscillations with a novel self-trapping regime. This macroscopic bistability is explained by proving analytically the simultaneous existence of symmetric, antisymmetric, and asymmetric stationary solutions of the associated nonlinear Schrödinger equation. The effect is illustrated and confirmed by numerical simulations. This property allows us to conceive an optical switch based on the variation of the refractive index of the linking central waveguide.

Journal Article↗

PubMed2004

Nonlinear tunneling in a fiber guide array resonator.

A fiber guide array resonator is proposed and shown to obey a nonlinear Schrödinger model in a square well potential with nonlinearity defocusing inside the well and focusing outside. This model is proved to possess nonlinear states which are i) continuous extensions of the linear eigenstates, ii) remarkably stable up to a threshold amplitude, iii) unstable at the threshold where nonlinear tunneling occurs by gap soliton emission outside the well. This allows in particular to obtain soliton formation by constant wave irradiation of the fiber guide array resonator. An explicit analytic expression of the threshold is given in terms of the well size for each level.

Journal Article↗