Optical properties of photonic crystals based on graphene nanocomposite within visible and IR wavelengths

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Optical properties of photonic crystals based on graphene nanocomposite within visible and IR wavelengths Fatma A. Sayed1 · Hussein A. Elsayed1 · Arafa H. Aly1  Received: 27 April 2020 / Accepted: 30 September 2020 © Springer Science+Business Media, LLC, part of Springer Nature 2020

Abstract In this work, we present a new type of the one dimensional photonic crystals that contain graphene based nanocomposite and dielectric layers. Here, the nanocomposite layer is designed form graphene nanoparticles into a dielectric host material. By using transfers matrix method, Maxwell–Garnett formula, and Kubo formula, the properties of photonic band gap within visible and infrared regions are discussed. Our results reflect the significant effect of graphene on the optical characteristics of the nanocomposite layer and the transmittance properties as well. Thus, the tunability of the photonic band gaps could be expected. Meanwhile, we demonstrate the effect of the volume fraction of graphene’s nanoparticles, the constituent materials thicknesses, the chemical potential and the permittivities of the host dielectric material on the transmittance properties of the proposed design. This design could be of potential interest in many fields of applications such as stop band filters and switches with high reflectivity. Keywords  Photonic band gap · Graphene · Nanocomposite · Transfers matrix method

1 Introduction Photonic crystals (PCs) are synthetic inhomogeneous structures. PCs are essentially designed and fabricated based on the regular modulation of the dielectric constants in one, two or three directions. PCs are gained a great importance due to their contributions in the confinement and controlling of the electromagnetic waves propagation (Yablonovitch 1987). Such effect could appear due to the presence of some spectral frequencies named the photonic band gaps (PBGs). The formations of these bands are particularly affined with the optical and the geometrical aspects of the incident electromagnetic waves and PCs constituent materials (Yablonovitch 1987; John 1987). As a result, PCs tuning opens up a new perspective in scientific research and technological applications. Therefore, the properties of the PBGs such as the position and width have become the cornerstone of various applications such as high-reflective omnidirectional reflector, optical transistors, optical waveguides, and sensors (Singh et al. 2019a; Elsayed 2018; * Arafa H. Aly [email protected]; [email protected] 1



TH‑PPM Group, Physics Department, Faculty of Sciences, Beni-Suef University, Beni‑Suef, Egypt

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Aly et al. 2020a; Abd El-Aziz et al. 2019; Kang and Liu 2018). The use of dispersive materials such as semiconductors, metals, superconductors, metamaterials, and plasma can be used to control the characteristics of the PBGs and provide adjustable optical properties as well. These materials could be of interest because of the significant impact of the external magnetic field, hydr