We investigated numerically the TM electric field solutions of a dielectric slab formed by a photorefractive crystal with
diffusion-type nonlinearity and limited by two metallic films. This study allows us the analysis of nonlinear surface
optical waves as nonlinear solutions of the photorefractive crystal slab. Additionally, we analyzed the influence of these
nonlinear solutions to excite surface plasmon-polariton waves at the metallic interfaces. In this case, the coupling
between plasmons and nonlinear solutions it is possible because only TM electromagnetic waves are supported by a
metal-dielectric planar waveguide. Here, we solved the vectorial and nonlinear wave equation using an iterative method
based in self-autoconsistency. With this algorithm, the coupling between the waveguide modes and the surface plasmon-polariton
waves are systematically investigated. The results obtained in this work are reproducible and contributes with
new information for the design of tunable plasmonic devices based in nonlinear photorefractive crystals.
In the present work we analyze the nonlinear modes of silicon-on-insulator (SOI) nanowires and supermodes of the
coupled SOI waveguides. A generalized analysis of the nonlinear modes of silicon nanowires is given where we have
considered the scalar approximation and its vectorial nature to obtain the analytical profiles. In the scalar approximation,
the analytical analysis of the profiles of the transversal modes is based on the solutions of the Helmholtz equation for
nonlinear periodic media, where we obtain an integral solution for the intensity which is identified with the help of the
elliptic functions. Those modes are characterized by two constants of motion of particular physical significance and in
some approximations the solution could become a soliton or cosenoidal type. Therefore, we describe the solutions on
terms of the movement and integration constants. This is an important result because defines the nature of the solutions,
therein the analysis of the third order polynomials roots of those elliptic functions. The general theoretical model
includes the two-photon absorption (TPA) and the nonlinear Kerr effect implicit in the refraction index.
A nonlinear stack is one of the handier photonic crystals where new schemes and
methodologies can be tested. Nonlinear Stacks have shown the presence of
switching, chirping and bistability, but in practice it is hard to find nonlinear
material with the adequate physical and mechanical properties. Metallic
Nanoparticles are well known to have strong nonlinearities and their composites
show the desired nonlinear properties. The nonlinearities are Kerr when
described Quantum Mechanically and field amplitude, when described classically.
In this report we describe the band gap of such classical composite stack.
Waveguides coupling have been widely studied; however, nanowaveguides of high refraction index contrast open the
opportunity of studying the nonlinear dynamics of coupled waveguides, in particular those filled with metallic
nanaoparticles composites. Those composites show a Quantum Mechanical Kerr Nonlinearity and a classical field
amplitude nonlinearity that are compared by using a iterative WKB to introduce the field nonlinearity and based in the
ensuing M matrix. The produced nonlinear supermodes show a confinement of the pulse in the waveguides and a
breaking of the coupling at small and large core waveguides.