Energy of Nonlinear Optical Solitons for Optical Sensors

Abstract

Abstract The proposal of this work is analysis the energy density of both solutions of nonlinear Schrodinger equation (NLS), spatial and temporal solutions and show that in some cases the correspondent energy for that solutions is proportional to the square of the solutions. This analysis can be strongly applied to the optical fiber sensors. We also present a method to obtain the solution of the generalized NLS based on the real part of the Lagrangian of the system. The method for calculating the power of optical solitons can be employed in the development of optical sensors and in the development of optical fiber sensors sensitive to nonlinear optical effects, and monitoring of non-linear optical scattering along the optical fiber.