The multi-resonant Lugiato-Lefever model

We introduce a new model describing multiple resonances in Kerr optical cavities. It perfectly agrees quantitatively with the Ikeda map and predicts complex phenomena such as super cavity solitons and coexistence of multiple nonlinear states

Resonant radiation shed by dispersive shock waves

We show that dispersive shock waves resulting from the nonlinearity overbalancing a weak leading-order dispersion can emit resonant radiation owing to higher-order dispersive contributions. We analyze such phenomenon for the defocusing nonlinear Schroedinger equation, giving criteria for calculating the radiated frequency based on the estimate of the shock velocity, revealing also a diversity of possible scenarios depending on the order and magnitude of the dispersive corrections

Parametric Frequency Conversion of Short Optical Pulses Controlled by a CW Background

We predict that parametric sum-frequency generation of an ultra-short pulse may result from the mixing of an ultra-short optical pulse with a quasi-continuous wave control. We analytically show that the intensity, time duration and group velocity of the generated idler pulse may be controlled in a stable manner by adjusting the intensity level of the background pump

Extreme high-intensity and ultrabroadband interactions in anisotropic β-BaB_2O_4 crystals

International audienceWe derive unidirectional pulse propagation equations to describe extreme high-intensity and ultra-broadband optical interactions in uniaxial crystals, showing both second-and third-order nonlinear optical susceptivities. We focus our attention on the anisotropic nature of the quadratic and cubic nonlinear response of β−BaB 2 O 4 (BBO) crystals. Two nonlinearly coupled first order (in the propagation coordinate) equations describe the dynamics and interactions of the ordinary and extraordinary field polarizations, and are valid for arbitrarily wide pulse bandwidth. We exploit this model to predict harmonic and supercontinuum generation in BBO crystals under strong and competing influence of quadratic and cubic susceptivities

Nonlinear envelope equation for broadband optical pulses in quadratic media

We derive a nonlinear envelope equation to describe the propagation of broadband optical pulses in second order nonlinear materials. The equation is first order in the propagation coordinate and is valid for arbitrarily wide pulse bandwidth. Our approach goes beyond the usual coupled wave description of $\chi^{(2)}$ phenomena and provides an accurate modelling of the evolution of ultra-broadband pulses also when the separation into different coupled frequency components is not possible or not profitable

Broadband parametric processes in χ^(2) nonlinear photonic crystals

International audienceWe develop a general model, based on a (2+1)D unidirectional pulse propagation equation, for describing broadband noncollinear parametric interactions in two-dimensional quadratic lattices. We apply it to the analysis of twin-beam optical parametric generation in hexagonally poled LiTaO 3 , gaining further insights into experimental observations

Baseband modulation instability as the origin of rogue waves

We study the existence and properties of rogue wave solutions in different nonlinear wave evolution models that are commonly used in optics and hydrodynamics. In particular, we consider Fokas-Lenells equation, the defocusing vector nolinear Schr\"odinger equation, and the long-wave-short-wave resonance equation. We show that rogue wave solutions in all of these models exist in the subset of parameters where modulation instability is present, if and only if the unstable sideband spectrum also contains cw or zero-frequency perturbations as a limiting case (baseband instability). We numerically confirm that rogue waves may only be excited from a weakly perturbed cw whenever the baseband instability is present. Conversely, modulation instability leads to nonlinear periodic oscillations

Duplication of the posterior cerebral artery: two case reports

The anatomy of the brain circulation is complex and variable.Autopsy studies and imaging techniques have detected anatomical variations of cerebral arteries (CAs) in 48–58% of the general population [1]. The duplication of the posterior cerebral artery (PCA) is a rare anatomic variant with a frequency of 2.3% [2, 3]. PCA duplication is characterised by the identification of a “true foetal” PCA, that originates from the internal carotid artery (ICA) and gives rise to the parieto-occipital artery, the internal occipital artery, the calcarine artery and the posterior pericallosal artery, associated with a PCA, that regularly arises from the basilar artery and gives rise to the posterior temporal artery [4]

Optical Dark Rogue Wave

Photonics enables to develop simple lab experiments that mimic water rogue wave generation phenomena, as well as relativistic gravitational effects such as event horizons, gravitational lensing and Hawking radiation. The basis for analog gravity experiments is light propagation through an effective moving medium obtained via the nonlinear response of the material. So far, analogue gravity kinematics was reproduced in scalar optical wave propagation test models. Multimode and spatiotemporal nonlinear interactions exhibit a rich spectrum of excitations, which may substantially expand the range of rogue wave phenomena, and lead to novel space-time analogies, for example with multi-particle interactions. By injecting two colliding and modulated pumps with orthogonal states of polarization in a randomly birefringent telecommunication optical fiber, we provide the first experimental demonstration of an optical dark rogue wave. We also introduce the concept of multi-component analog gravity, whereby localized spatiotemporal horizons are associated with the dark rogue wave solution of the two-component nonlinear Schrödinger system

Egfr inhibition in a pretreated sacral chordoma: a rolefor erlotinib? Case report and a brief review of literature

We describe the case of a 69-year old male with an EGFR- positive Imatinib refractory sacral chordoma with synchronous lung metastases, treated with erlotinib, a first- generation EGFR inhibitor. After disease progression following firstline Imatinib and a combination therapy with everolimus plus metformin, we made a challenge with an EGFR tyrosine kinase inhibitor (EGFR TKI), erlotinib. Despite a brief clinical benefit, the patient presented a rapid clinical deterioration leading to death, after 8 weeks of treatment