In this review, we survey the recent advances in nonlinear optics and the applications of two-dimensional (2D) materials. We briefly cover the key developments pertaining to research in the nonlinear optics of graphene, the quintessential 2D material. Subsequently, we discuss the linear and nonlinear optical properties of several other 2D layered materials, including transition metal chalcogenides, black phosphorus, hexagonal boron nitride, perovskites, and topological insulators, as well as the recent progress in hybrid nanostructures containing 2D materials, such as composites with dyes, plasmonic particles, 2D crystals, and silicon integrated structures. Finally, we highlight a few representative current applications of 2D materials to photonic and optoelectronic devices.

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Although a relatively new area of nanoscience, nonlinear plasmonics has become a fertile ground for the development and testing of new ideas pertaining to light–matter interaction under intense field conditions, ideas that have found a multitude of applications in surface science, active photonic nanodevices, near-field optical microscopy, and nonlinear integrated photonics. In this review, we survey the latest developments in nonlinear plasmonics in three-dimensional (metallic) and two-dimensional (graphene) nanostructures and offer an outlook on future developments in this field of research. In particular, we discuss the main theoretical concepts, experimental methods, and computational tools that are used together in modern nonlinear plasmonics to explore in an integrated manner nonlinear optical properties of metallic and graphene based nanostructures.

We present a comprehensive theoretical study of pulsed stimulated Raman scattering in silicon wires. The pulse dynamics is described by a system of coupled equations, which describes intrinsic waveguide optical losses, phase shift and losses due to free-carriers (FCs) generated through two-photon absorption (TPA), first-and second-order frequency dispersion, self-phase and cross-phase modulation, TPA losses, and the interpulse Raman interaction. Furthermore, the influence of the FCs on the pulse dynamics is incorporated through a rate equation. The corresponding system of equations has then been numerically integrated, and phenomena such as noise-seeded Raman amplification, pulsed Raman amplification, and Raman-mediated pulse interaction have been described.Index Terms-Coupled mode analysis, Raman amplification, silicon nanowire waveguide, stimulated Raman scattering (SRS).

We observe spectral broadening of more than 350 nm, i.e., a 3/10-octave span, upon propagation of ultrashort 1.3-mum-wavelength optical pulses in a 4.7-mm-long silicon-photonic-wire waveguide. We measure the wavelength dependence of the spectral features and relate it to waveguide dispersion and input power. The spectral characteristics of the output pulses are shown to be consistent, in part, with higher-order soliton radiative effects.