SCHRÖDINGER EQUATION FOR PROPAGATION IN PHOTONIC CRYSTAL FIBERS

Waleed Ahmed Mahmoud Alrefai

Abstract


The propagation of light in a guided medium is generally described by the Maxwell’s equations. For long lengths of fiber, the Nonlinear Schrödinger (NLS) wave equation is typically derived under a few approximations on the waveguide properties of the guiding medium. In theoretical physics, the nonlinear Schrödinger equation is a nonlinear variation of the Schrödinger equation. The propagation of the wave is a fundamental phenomenon occurring in several physical systems. It is a classical field equation whose principal applications are to the propagation of light in nonlinear planar waveguides and optical fibers to the Bose-Einstein condensates confined to highly anisotropic cigar-shaped traps in the mean-field regime. We will focus on the Schrödinger equation for signal propagation in photonic crystal fibers.


Keywords


Schrödinger; nonlinear optics; propagation; photonic crystal; Maxwell's

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References


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DOI: http://dx.doi.org/10.21303/2461-4262.2016.00021

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ISSN 2461-4262 (Online), ISSN 2461-4254 (Print)