Theses and Dissertations

Date of Award


Document Type


Degree Name

Master of Science (MS)



First Advisor

Dr. Hamidreza Ramezani

Second Advisor

Dr. Soumya Mohanty

Third Advisor

Dr. Myoung-Hwan Kim


Dehghani, Mojgan, The Conical Diffraction and Adiabatic Elimination in PT-Symmetric Systems. Master of Science (MS), July, 2019, 75 pp., 32 figures, references, 69 titles. Since almost two decades ago, the non-Hermitian Hamiltonians with combined parity and time-reversal symmetry, having entirely real spectra, have been outstanding candidates for characterizing the features of open systems. In this thesis, we investigate the dynamics of certain PT systems. In chapter I, we present a brief review of the fundamentals of PT-symmetric systems. Chapter II focuses on the conical diffraction in a PT-symmetric waveguide lattice. We explore the evolution of a wave packet, which forms a bright cone inside the lattice with non-zero field intensity inside. In Chapter III, we apply the adiabatic elimination scheme to a PT system of waveguides and examine the dynamics, finding that in the exact phase the adiabatic elimination holds and the electric field intensity within the dark-state waveguide remains constant. Contrarily, in the broken phase, the field intensity grows exponentially in all waveguides, which makes the adiabatic elimination fail.


Copyright 2019 Mojgan Dehghani. All Rights Reserved.

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