Publications

4 selected publications & a book :

On the speed of wave packets and the nonlinear Schrödinger equation,
Phys. Rev. E 107, 014219 (2023)

By carrying the calculation beyond all orders, I show that the nonlinear Schrödinger equation is insufficient to describe the dynamics of solitons when the group and phase velocities coincide.

Exponential asymptotics of localised patterns and snaking bifurcation diagrams,
Physica D 238, 319 (2009)

With S. J. Chapman, the first beyond-all-orders calculation for the Turing instability, leading for the first time to an analytical expression of the snaking bifurcation diagram of localized patterns.

Intermittent chaos for ergodic light trapping in a photonic fiber plate,

Light: Science & Applications 5, e16216 (2016)

With, among others, Marina Mariano and Jordi Martorell, a demonstration of a new chaotic light propagation regime that paves the way to new applications in photovoltaics and light displays.

Whispering gallery microresonators for second harmonic light generation from a low number of small molecules,
Nat. Commun. 2, 254 (2011)

With Luis Dominguez-Juarez et Jordi Martorell, demonstration of Second Harmonic Generation with only a hundred of small molecules, equivalent in mass to a protein, at the surface of a microsphere.

Applied Solid Mechanics,
Cambridge Texts in Applied Mathematics 2009

With Peter D. Howell and John R. Ockendon
Cambridge University Press

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