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Identifier

000451868

Title

Topological effects in photonic lattices

Alternative Title

Τοπολογικά φαινόμενα σε φωτονικά πλέγματα

Author

Κοντογεωργίου, Κωνσταντίνος Γ.

Thesis advisor

Μακρής, Κωνσταντίνος

Abstract

In this master thesis, we solve the problem of optical graphene.This problem is the analogue of graphene but instead of atoms we have waveguides. First we study the symmetries of optical graphene. And calculate the eigenvalues. Then we break the time reversal symmetry, and we see the change in energy eigenstate that this break of symmetry creates. In the beginning we solve the problem of infinite graphene, then we solve the problem of semi infinite graphene, for four different cases of boundary conditions. At the end we solve the problem of finite graphene. We do this for three different cases of finite graphene models. We solve these problems using the method of diagonalization and when periodicity is present we use the Bloch Hamiltonian which is the Fourier transform of the original Hamiltonian, in order to account for periodicity.

Language

English

Subject

Energy band structures

Graphene

Graphene quantum dots

Symmetry

Γραφένιο

Ενεργειακές ιδιοκαταστάσεις

Κβαντικές τελείες γραφενίου

Συμμετρίες

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