Abstract

Hybrid nanocomposites can provide a promising platform for integrated optics. Optical nonlinearity can significantly widen the range of applications of such structures. In the present paper, a theoretical investigation is carried out by solving the density matrix equations derived for a metal nanoparticles-graphene nanodisks-quantum dots hybrid system interacting with weak probe and strong control fields, in the steady state. We derive analytical expressions for linear and third-order nonlinear susceptibilities of the probe field. A giant self-Kerr nonlinear index of refraction is obtained in the optical region with relatively low light intensity. The optical absorption spectrum of the system demonstrates electromagnetically induced transparency and amplification without population inversion in the linear optical response arising from the negative real part of the polarizabilities for the plasmonic components at the energy of the localized surface plasmon resonance of the graphene nanodisks induced by the probe field. We find that the self-Kerr nonlinear optical properties of the system can be controlled by the geometrical features of the system, the size of metal nanoparticles and the strength of the control field. The controllable self-Kerr nonlinearities of hybrid nanocomposites can be employed in many interesting applications of modern integrated optics devices allowing for high nonlinearity with relatively low light intensity.

Highlights

  • Nonlinear optics play an important role in modern photonics enabling various applications including; frequency conversion [1], ultrafast lasers and amplifiers [2,3], ultrafast all-optical switching [4] and nonlinear microscopy [5]

  • To enhance the Nanomaterials 2018, 8, 521 nonlinearity of the system, we consider self-assembled quantum dots (QDs) modeled as three level atomic systems in a Λ configuration shown in Figure 1 that support electromagnetically induced transparency (EIT) in the presence of weak probe and strong control fields that induce the optical excitations in the components of the system [41]

  • To study the self-Kerr nonlinearity in the metal nanoparticles (MNPs)-graphene nanodisks (GNDs)-QD hybrid system and examine to what extent this type of nonlinearity can be controlled by the geometrical features of the system and the strength of the control field, we use the same parameters as in Ref. [40]

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Summary

Introduction

Nonlinear optics play an important role in modern photonics enabling various applications including; frequency conversion [1], ultrafast lasers and amplifiers [2,3], ultrafast all-optical switching [4] and nonlinear microscopy [5]. To compensate for the loss in plasmonic structures, gain media such as quantum dots (QDs) are incorporated within the system which in turn demonstrate considerable nonlinearities employed in various applications of optoelectronics devices [25,26] Another way to induce nonlinear effects with low light intensity, is electromagnetically induced transparency (EIT). To enhance the Nanomaterials 2018, 8, 521 nonlinearity of the system, we consider self-assembled QD modeled as three level atomic systems in a Λ configuration shown in Figure 1 that support EIT in the presence of weak probe and strong control fields that induce the optical excitations in the components of the system [41]. We will study the self-Kerr nonlinearity under various conditions related to the geometry of the system and the strength of the control field

Theoretical Formalism
Analysis of Self-Kerr Nonlinearity
Conclusions
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