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 this work we describe the nonlinear propagation of optical pulses through an array of silicon nanowires made with
the silicon-on-insulator technology. A generalized analysis of the nonlinear coupled system is given where we have
considered the vector nature of optical modes and the effects of two-photon absorption on various nonlinear processes.
The general theoretical model includes not only the effects of free-carrier absorption and free-carrier dispersion but also
linear and nonlinear losses, and it extends previous vector nonlinear models to the case where coupling of supermodes of
a waveguide array occurs in silicon waveguides. Analytical solutions are provided for the coupled-mode equations in
some cases in which the density of the free carrier is relatively low, and dispersive effects are relatively weak, assuming
that the nonlinear effects do not affect the waveguide modes significantly. The impact of two-photon absorption and
free-carriers effect on the properties of the nonlinear coupling effects is studied in detail together with the evolution of
optical power inside an array of silicon nanowires.
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.
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