Preface

This Edited Volume is a collection of reviewed and relevant research chapters, concerning the developments within the Quantum Electronics. The book includes scholarly contributions by various authors and edited by a group of experts in the field. Each contribution comes as a separate chapter complete in itself but directly related to the book's topics and objectives. The book includes chapters dealing with the topics: Photonic Quasicrystals for Filtering Application, Synthesis of Curved Surface Plasmon Fields through Thin Metal Films in a Tandem Array, Localized Excitation of Single Atom to a Rydberg State with Structured Laser Beam for Quantum Information and Single-Atom Field-Effect Transistor. The target audience comprises scholars and specialists in the field.

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Chapter 1

Abstract

teristics of PBG.

1. Introduction

sequences.

1

Youssef Trabelsi

Photonic Quasicrystals for

In this chapter, we study the properties of specific one dimensional photonic quasicrystal (PQCs), in order to design an output multichannel filter. We calculate the transmittance spectrum which exhibits a photonic band gap (PBG), based on the Transfer Matrix Method (TMM) and the two-fluid model. We show that the generalized Thue-Morse (GTM) and generalized Fibonacci GF(m, n) distributions provide a stacking of similar output multichannel with zero transmission when the input was a sharp resonance of peaks at given n ¼ 2pm where p, is a positive integer. Also, we consider GTM configuration and we apply a deformation <sup>y</sup> <sup>¼</sup> <sup>x</sup><sup>h</sup>þ<sup>1</sup> along the PQC filter, which enhanced the band width of each channel with respect to the number of peaks inside the main transmittance. Here, the coefficient h represents the deformation degree, x and y are thicknesses of the layers before and after the deformation, respectively. This improves the charac-

Keywords: hybrid quasiperiodic PC, superconducting materials, GTM sequence, GF sequence, multichannel optical filters, deformed 1D photonic quasicrystals

Photonic quasicrystals (PQCs) which are made of alternating dielectric and superconductor layers intervene in numerous researches due to their interesting optical properties [1–5]. This type of crystal is an artificial super lattice which is built according to quasiperiodic sequences. It is considerably different than photonic crystals (PCs) since it is a non-periodic structure with perfect long-range order and lack translational and it can be considered as an intermediate class between the random and periodic media. Our considered PQC consists of a stack of two different layers A and B which represent building blocks having a selfsimilarity distribution and long range order with no translational symmetry.

We mention that there are numerous examples of aperiodic chains constructed by a substitution rule. These chains allow forming many deterministic PQCs structures such as: Fibonacci, Thue-Morse, Rudin-Shapiro, Cantor, and Doubly periodic

Based on PQC heterostructure, many studies have been performed to carry out new optical devices. In this direction, the introduction of superconducting materials into the regular PQC photonic structure has been investigated in [5–7] in order to improve the characteristics of photonic band gap structures (PBGs) by changing the

operating temperature of superconducting layers.

Filtering Application
