The book is organized in two chapters after an introduction part. The introduction presents the basic principles of the transformation optics concept. Two types of transformation are presented: coordinate transformation and space transformation. Implementations using metamaterials are also discussed. Chapter 1 focuses on coordinate transformation to design devices capable of modifying the electromagnetic appearance of a radiating source. Transformation of a directive radiation pattern into an isotropic one and vice-versa through a space stretching and compression, respectively, and the possibility to create multiple beams are studied. Chapter 2 deals with devices designed using space transformation concept. Quasi-conformal transformation optics (QCTO) is applied for the design of lenses either to compensate for the phase shift created by the conformation of an array of sources or to steer a beam to an off-normal direction. Materials are engineered through 3D printing and prototypes presenting a variation in electromagnetic parameters are fabricated and tested to validate the proposed lenses.
- Focuses firstly on the theoretical tools defining transformation optics concept
- Address the origin of the concept by analyzing Fermats principle
- Details the basic approaches and the methods to design practical applications of transformation optics concepts
Papildus informācija
Presents theoretical concepts and practical methods to implement transformation optics based devices, which open the way to new types of electromagnetic applications
Preface |
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vii | |
Introduction |
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xi | |
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Chapter 1 Transformation Optics Concept: Definition and Tools |
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1 | (34) |
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1.1 State of the art on metamaterials |
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1 | (10) |
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1.2 Transformation optics |
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11 | (20) |
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1.2.1 Coordinate transformation |
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15 | (8) |
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1.2.2 Space transformation |
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23 | (8) |
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1.3 Metamaterial engineering |
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31 | (2) |
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1.3.1 Electric resonators |
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32 | (1) |
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1.3.2 Magnetic resonators |
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32 | (1) |
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1.3.3 All-dielectric material |
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33 | (1) |
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33 | (2) |
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Chapter 2 Coordinate Transformation Concept: Transformation of Electromagnetic Sources |
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35 | (30) |
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35 | (1) |
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2.2 Isotropic antenna: transforming directive into isotropic pattern |
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36 | (11) |
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2.2.1 Theoretical formulations and numerical simulations |
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36 | (5) |
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2.2.2 3D design and implementation using metamaterials |
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41 | (4) |
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2.2.3 Experimental validation of fabricated isotropic antenna |
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45 | (2) |
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2.3 Miniaturization of electromagnetic sources |
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47 | (11) |
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2.3.1 Theoretical formulations |
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49 | (5) |
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2.3.2 Numerical simulations |
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54 | (4) |
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2.4 Creation of multiple beams |
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58 | (6) |
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2.4.1 Theoretical formulations |
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59 | (3) |
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2.4.2 Numerical validation |
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62 | (2) |
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64 | (1) |
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Chapter 3 Space Transformation Concept: Controlling the Path of Electromagnetic Waves |
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65 | (20) |
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65 | (1) |
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3.2 In-phase emission restoring lens |
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66 | (11) |
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3.2.1 Theoretical formulations and numerical simulations |
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67 | (4) |
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3.2.2 3D design, implementation and full-wave simulations |
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71 | (5) |
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3.2.3 Experimental validation of fabricated in-phase emission restoring lens |
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76 | (1) |
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77 | (7) |
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3.3.1 Theoretical formulations and numerical simulations |
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77 | (4) |
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3.3.2 3D design, implementation and full-wave simulations |
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81 | (2) |
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3.3.3 Experimental validation of fabricated beam steering lens |
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83 | (1) |
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84 | (1) |
Conclusion |
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85 | (4) |
Bibliography |
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89 | (12) |
Index |
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101 | |
Nawaz received the Ph.D. degree from the University of Nantes (FR) in 2005. His Ph.D. research works dealt with the applications of split ring resonators (SRRs) to microwave devices and antennas. He is an Associate Professor at the University of Paris Ouest and carries his research activities at the IEF. His current research interests are in the areas of microwave and applications of periodic structures, complex media, metamaterials and metasurfaces, in the analysis of integrated planar and conformal circuits and antennas. He is also involved in the design of microwaves devices based on the powerful concept of transformation optics. He has published more than 50 papers in scientific journals and holds 1 patent on a metamaterial-based antenna. Dr. Burokur has been the recipient of the Young Scientist Award, presented by the Union Radio-Scientifique Internationale (URSI) Commission B, in 2005. André de LUSTRAC received the Ph.D. degree in Electrical Engineering in the microwave domain from the Institut dÉlectronique Fondamentale (IEF) University of Paris Sud on Josephson logic devices in 1986. From 1989 to 1992 he was an assistant professor at the Institute of Technology of Cachan, France. He is currently full professor at the University of Paris 10, France. From 2002 to 2007 he was the director of the SITEC department of the University of Paris 10. He has published more than 100 papers in journals and international conferences in the areas of the applications of the superconducting Josephson junctions in digital circuits, the simulation methods of high frequency III-V transistors (HEMT) and quantum circuits, and last but not least, on photonic band gap materials and metamaterials in the microwave and optical domains. He is actually the Head of the Institut dElectronique Fondamentale, where he explores the physics and the applications of these materials in telecoms and aeronautics. From 2006 to 2012, he has been a scientific adviser of the General Direction of Research and Innovation of the FrenchMinistry of Research and Higher Education. Jianjia has a master of Telecommunication Engineering obtained in 2012 in Politecnico di Torino, Italy. He joined the team in 2013 as a PhD student. His thesis subject is Novel antenna design concepts based on transformation optics, dealing with Antennas, Transformation Optics and Metamaterials. Paul-Henri Tichit works at Institut dElectronique Fondamentale, CNRS, University Paris Sud, University Paris-Saclay, France.