Soliton Steering and Switching Dynamics in P T -Symmetric Nonlinear Directional Couplers
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Date
2022
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Abstract
The dynamical behavior of a classical or quantum mechanical system is described by a
Hamiltonian H. The manifestation of Hermiticity of such Hamiltonian appears in form
of physical observables through experimental demonstrations. After C.M. Bender put forward a very novel perspective on the quantum mechanical non-Hermitian Hamiltonians,
Parity-time (P T ) symmetry, as a theoretical concept, got tremendous attention. The
recent recognition that optical systems can provide a ground to realize the mathematical
concepts of P T symmetry in the table-top experiments, P T symmetry in photonics
systems has become a very active research area. In photonics, P T symmetry has been
readily established by judiciously incorporating balanced gain and loss in coupled system
so that the refractive index profile plays the role of the complex potential. In this thesis,
we use coupled waveguides (nonlinear directional couplers) for exploiting the effect of
P T symmetry for switching dynamics of optical signals. Considering the application of
nonlinear directional couplers as an all-optical switching device, we have studied the
steering and switching dynamics of different solitons inside P T -symmetric coupler
manoeuvring the dispersion and the nonlinearity of the system. All the investigated
P T -symmetric couplers evidently emerged to be a better choice as an optical switching
device in contrast to their conventional counterparts showing unique P T -symmetric
features.
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Supervisor: Sarma, Amarendra Kumar
Keywords
Soliton, Parity Time Symmetry, Directional Coupler, Nonlinear Optics