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Model of a Wave Diode in a Nonlinear System
Linköping University, Department of Physics, Chemistry and Biology, Theoretical Physics. Linköping University, The Institute of Technology.
2014 (English)Independent thesis Basic level (degree of Bachelor), 10,5 credits / 16 HE creditsStudent thesis
Abstract [en]

In this diploma work, two versions of the discrete nonlinear Schrödinger (DNLS) equation are used to model a nonlinear layered photonic crystal system; the cubic DNLS (cDNLS) equation and the saturable DNLS (sDNLS) equation. They both have site-dependent coefficients to break mirror symmetry with respect to propagation direction, as well as to describe the linear and nonlinear properties of the system. Analytical solutions taking on plane wave form are, via the backward transfer map, used to derive a transmission coefficient as well as a rectifying factor to quantify the diode effect. The effect of varying site-dependent coefficients is studied in detail. Numerical simulations of Gaussian wave packets impinging on the system, using open boundary conditions, show the breaking of parity symmetry. Evidence of a change in the wave packet dynamics occurring in the transition between the cubic and the saturable DNLS model is presented. A saturated system prevents the wave packet from getting stuck in the nonlinear lattice layers. The transmission properties were found to be very sensitive to slight changes of the system parameters.

Place, publisher, year, edition, pages
2014. , 56 p.
Keyword [en]
Discrete Nonlinear Schrödinger Wave Diode Cubic Saturable Asymmetric Propagation
National Category
Physical Sciences
URN: urn:nbn:se:liu:diva-111236ISRN: LITH-IFM-G-EX--14/2969--SEOAI: diva2:755093
Subject / course
Theoretical Physics
Available from: 2014-10-15 Created: 2014-10-13 Last updated: 2014-10-15Bibliographically approved

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Theoretical PhysicsThe Institute of Technology
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