Peculiarities of Light-Matter Coupling in Imperfect Lattice of Coupled Microresonators

Rumyantsev ,S Fedorov ,Marina Sychanova

doi:10.4172/2469-410x.1000113

Abstract

We study exciton-like electromagnetic excitations in non-ideal microcavity lattice with the use of the virtual crystal approximation. The effect of point defects (vacancies) on the excitation spectrum is being numerically modeled for a quasi-two-dimensional non-ideal binary microcavity supercrystal. The adopted approach permits to obtain the dispersion dependence of collective excitation frequencies and the energy gap width on defect concentrations in a microcavity lattice. Based on the representations of the ideal photonic structures, the non-ideal polaritonic crystal, which is a set of spatially ordered cavities containing atomic clusters, is considered too. The analytical expressions for polaritonic frequencies, effective mass and group velocities, as a function of corresponding quantum dots and vacancies concentrations is obtained.

Highlights

A number of recent theoretical and experimental works indicate that microcavity supercrystals may have interesting applications
Based on the representations of the ideal photonic structures, the non-ideal systems of this class - polaritonic crystal, which is a set of spatially ordered cavities containing atomic clusters, is considered too
A number of recent experimental works indicate that microcavity supercrystals may have interesting applications, in particular for creating of optical clockworks of unprecedented accuracy [23,24,25]

Summary

Introduction

A number of recent theoretical and experimental works indicate that microcavity supercrystals may have interesting applications. We study dispersions of localized electromagnetic excitations in an array of coupled microcavities which form a non-ideal supercrystal rich by point-like defects. Based on the representations of the ideal photonic structures, the non-ideal systems of this class - polaritonic crystal, which is a set of spatially ordered cavities containing atomic clusters, is considered too. In this part of the work we believe that the spatial distribution of cavities (resonators) is translation invariant, and the atomic subsystem has randomly distributed defects (impurity atomic clusters: quantum dots or a vacancies).

Anα mβ

Polaritonic Crystal with the Atomic Subsystem Containing Vacancies

Conclusion