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Polariton Modes in Two-Dimensional Dispersive and Absorptive Photonic Crystals
N. Chandrasekar

N.Chandrasekar*, School of Electronics Engineering, Vellore Institute of Technology, Chennai Campus, Chennai, India.

Manuscript received on June 14, 2020. | Revised Manuscript received on June 27, 2020. | Manuscript published on July 10, 2020. | PP: 648-652 | Volume-9 Issue-9, July 2020 | Retrieval Number: 100.1/ijitee.I7647079920 | DOI: 10.35940/ijitee.I7647.079920
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© The Authors. Blue Eyes Intelligence Engineering and Sciences Publication (BEIESP). This is an open access article under the CC-BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/)

Abstract: Two-dimensional photonic crystals play important role in practical photonic devices. In this study, Hamiltonian method is used to determine the evolution equations for the fields. This method allows us to determine the polariton modes inside a periodically structured medium. For a two-dimensional photonic crystal, the Hamiltonian for electromagnetic field interaction with structured medium is constructed and the evolution equations for fields are determined from Hamilton’s equations of motion. The polariton modes are found from the canonical form of the Hamiltonian. 
Keywords: Hamiltonian, Photonic Crystals, Polariton, Structured Medium.
Scope of the Article: Microwave Photonics