Search

Your search keyword '"Antonakakis, Tryfon"' showing total 24 results
Start Over Author "Antonakakis, Tryfon"

Refine your results

more »

more »

more »

more »
24 results on '"Antonakakis, Tryfon"'

3. Unveiling Extreme Anisotropy in Elastic Structured Media

Author

Lefebvre, Gautier, Antonakakis, Tryfon, Achaoui, Younes, Craster, Richard, Guenneau, Sebastien, and Sebbah, Patrick

Subjects
Condensed Matter - Materials Science
Abstract

Periodic structures can be engineered to exhibit unique properties observed at symmetry points, such as zero group velocity, Dirac cones and saddle points; identifying these, and the nature of the associated modes, from a direct reading of the dispersion surfaces is not straightforward, especially in three-dimensions or at high frequencies when several dispersion surfaces fold back in the Brillouin zone. A recently proposed asymptotic high frequency homogenisation theory is applied to a challenging time-domain experiment with elastic waves in a pinned metallic plate. The prediction of a narrow high-frequency spectral region where the effective medium tensor dramatically switches from positive definite to indefinite is confirmed experimentally; a small frequency shift of the pulse carrier results in two distinct types of highly anisotropic modes. The underlying effective equation mirrors this behaviour with a change in form from elliptic to hyperbolic exemplifying the high degree of wave control available and the importance of a simple and effective predictive model., Comment: 5 pages, 4 figures

Published
2016
Full Text
View/download PDF

4. Wave mechanics in media pinned at Bravais lattice points

Author

Makwana, Mehul, Antonakakis, Tryfon, Maling, Ben, Guenneau, Sebastien, and Craster, Richard

Subjects
Condensed Matter - Materials Science, Mathematical Physics
Abstract

The propagation of waves through microstructured media with periodically arranged inclusions has applications in many areas of physics and engineering, stretching from photonic crystals through to seismic metamaterials. In the high-frequency regime, modelling such behaviour is complicated by multiple scattering of the resulting short waves between the inclusions. Our aim is to develop an asymptotic theory for modelling systems with arbitrarily-shaped inclusions located on general Bravais lattices. We then consider the limit of point-like inclusions, the advantage being that exact solutions can be obtained using Fourier methods, and go on to derive effective medium equations using asymptotic analysis. This approach allows us to explore the underlying reasons for dynamic anisotropy, localisation of waves, and other properties typical of such systems, and in particular their dependence upon geometry. Solutions of the effective medium equations are compared with the exact solutions, shedding further light on the underlying physics. We focus on examples that exhibit dynamic anisotropy as these demonstrate the capability of the asymptotic theory to pick up detailed qualitative and quantitative features.

Published
2015

5. Asymptotic theory of microstructured surfaces: An asymptotic theory for waves guided by diffraction gratings or along microstructured surfaces

Author

Antonakakis, Tryfon, Craster, Richard V., Guenneau, Sebastien, and Skelton, Elizabeth A.

Subjects
Physics - Optics
Abstract

An effective surface equation, that encapsulates the detail of a microstructure, is developed to model microstructured surfaces. The equations deduced accurately reproduce a key feature of surface wave phenomena, created by periodic geometry, that are commonly called Rayleigh-Bloch waves, but which also go under other names such as Spoof Surface Plasmon Polaritons in photonics. Several illustrative examples are considered and it is shown that the theory extends to similar waves that propagate along gratings. Line source excitation is considered and an implicit long-scale wavelength is identified and compared to full numerical simulations. We also investigate non-periodic situations where a long-scale geometric variation in the structure is introduced and show that localised defect states emerge which the asymptotic theory explains.

Published
2013

6. Homogenization Techniques for Periodic Structures

Author

Guenneau, Sebastien, Craster, Richard, Antonakakis, Tryfon, Cherednichenko, Kirill, and Cooper, Shane

Subjects
Physics - Optics
Abstract

In this chapter we describe a selection of mathematical techniques and results that suggest interesting links between the theory of gratings and the theory of homogenization, including a brief introduction to the latter. By no means do we purport to imply that homogenization theory is an exclusive method for studying gratings, neither do we hope to be exhaustive in our choice of topics within the subject of homogenization. Our preferences here are motivated most of all by our own latest research, and by our outlook to the future interactions between these two subjects. We have also attempted, in what follows, to contrast the "classical" homogenization (Section 11.1.2), which is well suited for the description of composites as we have known them since their advent until about a decade ago, and the "non-standard" approaches, high-frequency homogenization (Section 11.2) and high-contrast homogenization (Section 11.3), which have been developing in close relation to the study of photonic crystals and metamaterials, which exhibit properties unseen in conventional composite media, such as negative refraction allowing for super-lensing through a flat heterogeneous lens, and cloaking, which considerably reduces the scattering by finite size objects (invisibility) in certain frequency range. These novel electromagnetic paradigms have renewed the interest of physicists and applied mathematicians alike in the theory of gratings.

Published
2013

7. High-frequency homogenization of zero frequency stop band photonic and phononic crystals

Author

Antonakakis, Tryfon, Craster, Richard, and Guenneau, Sebastien

Subjects
Physics - Optics
Abstract

We present an accurate methodology for representing the physics of waves, for periodic structures, through effective properties for a replacement bulk medium: This is valid even for media with zero frequency stop-bands and where high frequency phenomena dominate. Since the work of Lord Rayleigh in 1892, low frequency (or quasi-static) behaviour has been neatly encapsulated in effective anisotropic media. However such classical homogenization theories break down in the high-frequency or stop band regime. Higher frequency phenomena are of significant importance in photonics (transverse magnetic waves propagating in infinite conducting parallel fibers), phononics (anti-plane shear waves propagating in isotropic elastic materials with inclusions), and platonics (flexural waves propagating in thin-elastic plates with holes). Fortunately, the recently proposed high-frequency homogenization (HFH) theory is only constrained by the knowledge of standing waves in order to asymptotically reconstruct dispersion curves and associated Floquet-Bloch eigenfields: It is capable of accurately representing zero-frequency stop band structures. The homogenized equations are partial differential equations with a dispersive anisotropic homogenized tensor that characterizes the effective medium. We apply HFH to metamaterials, exploiting the subtle features of Bloch dispersion curves such as Dirac-like cones, as well as zero and negative group velocity near stop bands in order to achieve exciting physical phenomena such as cloaking, lensing and endoscope effects. These are simulated numerically using finite elements and compared to predictions from HFH. An extension of HFH to periodic supercells enabling complete reconstruction of dispersion curves through an unfolding technique is also introduced.

Published
2013
Full Text
View/download PDF

8. Moulding flexural waves in elastic plates lying atop a Faqir's bed of nails

Author

Antonakakis, Tryfon, Craster, Richard, and Guenneau, Sébastien

Subjects
Condensed Matter - Materials Science
Abstract

Platonic crystals (PCs) are the elastic plate analogue of the photonic crystals widely used in optics, and are thin structured elastic plates along which flexural waves cannot propagate within certain stop band frequency intervals. The practical importance of PCs is twofold: these can be used either in the design of microstructured acoustic metamaterials or as an approximate model for surface elastic waves propagating in meter scale seismic metamaterials. Here, we make use of the band spectrum of PCs created with very small clamped holes, the nails of the title, to achieve surface wave reflectors at very large wavelengths, a flat lens, an endoscope, a directive antenna near stop band frequencies and cloaking from Dirac cones. The point pinned, Faqir, plate is particularly appealing as there is an exact dispersion relation available so the origin of these phenomena can be explained and interpreted using Fourier series and high frequency homogenization., Comment: 5 pages, 4 figures

Published
2013

9. Theoretical extensions and applications of high frequency homogenization on photonics, phononics and platonics

Author

Antonakakis, Tryfon and Craster, Richard

Subjects
510
Abstract

In the context of acoustics, single polarization electromagnetism and elastic plates we consider microstructured media that have an underlying periodic structure and we develop an asymptotic continuum model that captures the essential microstructural behaviour entirely in a macroscale setting. The asymptotics are based upon a two-scale approach and are valid even at high frequencies when the wavelength and microscale length are of the same order. The general theory is illustrated via one- and two-dimensional model problems that can have zero-frequency stop bands that preclude conventional averaging and homogenization theories. Localized defect modes created by material or shape variations are also modelled using the theory and compared to numerical simulations.

Published
2014
Full Text
View/download PDF

12. Lightweight metasurface pads for passive RF shimming in 3T abdominal imaging

Author

Vergara Gomez, Tania, Dubois, Marc, Jomin, Pierre, Benamara, Megdouda, Berrahou, Djamel, Georget, Elodie, Antonakakis, Tryfon, David, Bendahan, Kober, F., Enoch, Stefan, Abdeddaim, Redha, Centre de résonance magnétique biologique et médicale (CRMBM), Aix Marseille Université (AMU)-Assistance Publique - Hôpitaux de Marseille (APHM)-Centre National de la Recherche Scientifique (CNRS), Institut FRESNEL (FRESNEL), Aix Marseille Université (AMU)-École Centrale de Marseille (ECM)-Centre National de la Recherche Scientifique (CNRS), and European Project: 736937,H2020,H2020-FETOPEN-1-2016-2017,M-CUBE(2017)

Subjects
[PHYS]Physics [physics], [SPI.ELEC]Engineering Sciences [physics]/Electromagnetism
Abstract

International audience

Published
2021

14. Radiofrequency shimming with fractal metasurface pads in a 7T birdcage coil

Author

Vergara Gomez, Tania S., Dubois, Marc, Rustomji, Kaizad, Georget, Elodie, Antonakakis, Tryfon, Rapacchi, Stanislas, Kober, Frank, Enoch, Stefan, Abdeddaim, Redha, Centre de résonance magnétique biologique et médicale (CRMBM), Aix Marseille Université (AMU)-Assistance Publique - Hôpitaux de Marseille (APHM)-Centre National de la Recherche Scientifique (CNRS), Institut FRESNEL (FRESNEL), Aix Marseille Université (AMU)-École Centrale de Marseille (ECM)-Centre National de la Recherche Scientifique (CNRS), and Multiwave Imaging

Subjects
[SPI.ELEC]Engineering Sciences [physics]/Electromagnetism, [SDV.IB.IMA]Life Sciences [q-bio]/Bioengineering/Imaging, ComputingMilieux_MISCELLANEOUS
Abstract

International audience

Published
2020

15. Passive RF shimming for 7T head coil with hybridized meta-atom: In vivo investigation

Author

Dubois, Marc, Leroi, Lisa, Raolison, Zo, Abdeddaim, Redha, Antonakakis, Tryfon, de Rosny, Julien, Vignaud, Alexandre, Sabouroux, Pierre, Georget, Elodie, Larrat, Benoit, Tayeb, Gérard, Bonod, Nicolas, Amadon, Alexis, Mauconduit, Franck, Poupon, Cyril, Le Bihan, Denis, Enoch, Stefan, Institut FRESNEL (FRESNEL), Aix Marseille Université (AMU)-École Centrale de Marseille (ECM)-Centre National de la Recherche Scientifique (CNRS), Centre de résonance magnétique biologique et médicale (CRMBM), Aix Marseille Université (AMU)-Assistance Publique - Hôpitaux de Marseille (APHM)-Centre National de la Recherche Scientifique (CNRS), Service NEUROSPIN (NEUROSPIN), Université Paris-Saclay-Direction de Recherche Fondamentale (CEA) (DRF (CEA)), Commissariat à l'énergie atomique et aux énergies alternatives (CEA)-Commissariat à l'énergie atomique et aux énergies alternatives (CEA), Multiwave Imaging, Institut Langevin - Ondes et Images (UMR7587) (IL), Ecole Superieure de Physique et de Chimie Industrielles de la Ville de Paris (ESPCI Paris), Université Paris sciences et lettres (PSL)-Université Paris sciences et lettres (PSL)-Sorbonne Université (SU)-Centre National de la Recherche Scientifique (CNRS), European Project: 736937,H2020,H2020-FETOPEN-1-2016-2017,M-CUBE(2017), Centre National de la Recherche Scientifique (CNRS)-École Centrale de Marseille (ECM)-Aix Marseille Université (AMU), Assistance Publique - Hôpitaux de Marseille (APHM)-Aix Marseille Université (AMU)-Centre National de la Recherche Scientifique (CNRS), Direction de Recherche Fondamentale (CEA) (DRF (CEA)), Commissariat à l'énergie atomique et aux énergies alternatives (CEA)-Commissariat à l'énergie atomique et aux énergies alternatives (CEA)-Université Paris-Saclay, and Université Paris sciences et lettres (PSL)-Université Paris sciences et lettres (PSL)-Sorbonne Université (SU)-Centre National de la Recherche Scientifique (CNRS)-Université de Paris (UP)

Subjects
[PHYS]Physics [physics], [SPI.ELEC]Engineering Sciences [physics]/Electromagnetism, [SDV.IB]Life Sciences [q-bio]/Bioengineering, ComputingMilieux_MISCELLANEOUS
Abstract

International audience

Published
2020

16. Seismic Defence Structures

Author

Achaoui, Younes, Antonakakis, Tryfon, Brule, Stéphane, Craster, Richard, Enoch, Stefan, Guenneau, Sebastien, Institut FRESNEL (FRESNEL), Centre National de la Recherche Scientifique (CNRS)-École Centrale de Marseille (ECM)-Aix Marseille Université (AMU), Department of Mathematics [Imperial College London], Imperial College London, Dynamic Soil Laboratory, EPSILON (EPSILON), Centre National de la Recherche Scientifique (CNRS)-École Centrale de Marseille (ECM)-Aix Marseille Université (AMU)-Centre National de la Recherche Scientifique (CNRS)-École Centrale de Marseille (ECM)-Aix Marseille Université (AMU), Aix Marseille Université (AMU)-École Centrale de Marseille (ECM)-Centre National de la Recherche Scientifique (CNRS)-Aix Marseille Université (AMU)-École Centrale de Marseille (ECM)-Centre National de la Recherche Scientifique (CNRS), MENARD, CLARTE (CLARTE), Menard (Vinci group), European Project: 279673,EC:FP7:ERC,ERC-2011-StG_20101014,ANAMORPHISM(2011), and Aix Marseille Université (AMU)-École Centrale de Marseille (ECM)-Centre National de la Recherche Scientifique (CNRS)

Subjects
[PHYS.MECA.VIBR]Physics [physics]/Mechanics [physics]/Vibrations [physics.class-ph], [PHYS.PHYS.PHYS-OPTICS]Physics [physics]/Physics [physics]/Optics [physics.optics], [SPI.GCIV]Engineering Sciences [physics]/Civil Engineering, Physics::Instrumentation and Detectors, [PHYS.PHYS.PHYS-GEO-PH]Physics [physics]/Physics [physics]/Geophysics [physics.geo-ph], Astrophysics::Earth and Planetary Astrophysics, [PHYS.MECA]Physics [physics]/Mechanics [physics], Physics::Geophysics
Abstract

A seismic wave shield for protecting an area from seismic vibrations and a method of shielding an area from seismic waves by installing a seismic wave shield. The seismic wave shield comprises a set of columns embedded in regolith and in contact with bedrock. There is a material contrast between a material forming the columns and the regolith.

Published
2020

17. Enhancement of transmit and receive efficiencies with hybridized meta-atom in 7T head coil

Author

Dubois, Marc, Leroi, Lisa, Raolison, Zo, Abdeddaim, Redha, Antonakakis, Tryfon, De Rosny, Julien, Vignaud, Alexandre, Sabouroux, Pierre, Georget, Elodie, Larrat, Benoît, Tayeb, Gérard, Bonod, Nicolas, Amadon, Alexis, Mauconduit, Franck, Poupon, Cyril, Le Bihan, Denis, Enoch, Stefan, Centre de résonance magnétique biologique et médicale (CRMBM), Assistance Publique - Hôpitaux de Marseille (APHM)-Aix Marseille Université (AMU)-Centre National de la Recherche Scientifique (CNRS), Institut FRESNEL (FRESNEL), Centre National de la Recherche Scientifique (CNRS)-École Centrale de Marseille (ECM)-Aix Marseille Université (AMU), Service NEUROSPIN (NEUROSPIN), Direction de Recherche Fondamentale (CEA) (DRF (CEA)), Commissariat à l'énergie atomique et aux énergies alternatives (CEA)-Commissariat à l'énergie atomique et aux énergies alternatives (CEA)-Université Paris-Saclay, Multiwave Technologies AG, Institut Langevin - Ondes et Images (UMR7587) (IL), Ecole Superieure de Physique et de Chimie Industrielles de la Ville de Paris (ESPCI Paris), Université Paris sciences et lettres (PSL)-Université Paris sciences et lettres (PSL)-Sorbonne Université (SU)-Centre National de la Recherche Scientifique (CNRS)-Université de Paris (UP), European Project: 736937,H2020,H2020-FETOPEN-1-2016-2017,M-CUBE(2017), Aix Marseille Université (AMU)-Assistance Publique - Hôpitaux de Marseille (APHM)-Centre National de la Recherche Scientifique (CNRS), Aix Marseille Université (AMU)-École Centrale de Marseille (ECM)-Centre National de la Recherche Scientifique (CNRS), Université Paris-Saclay-Direction de Recherche Fondamentale (CEA) (DRF (CEA)), Commissariat à l'énergie atomique et aux énergies alternatives (CEA)-Commissariat à l'énergie atomique et aux énergies alternatives (CEA), Université Paris sciences et lettres (PSL)-Université Paris sciences et lettres (PSL)-Sorbonne Université (SU)-Centre National de la Recherche Scientifique (CNRS), Institut Langevin - Ondes et Images, and Université Paris Diderot - Paris 7 (UPD7)-ESPCI ParisTech-Sorbonne Université (SU)-Centre National de la Recherche Scientifique (CNRS)

Subjects
[PHYS]Physics [physics], [SPI.ELEC]Engineering Sciences [physics]/Electromagnetism, [SDV.IB]Life Sciences [q-bio]/Bioengineering
Abstract

International audience; Background B1 homogeneity in 7T MRI remains an important challenge in order to fully benefit from the signal enhancement due to the stronger magnetization available in ultra-high field scanners. High-dielectric constant pads have been proposed and optimized for passive shimming purposes [1-3]. Common formulations of dielectric pads for 7T applications are based on BaTiO 3 mixed with water. They present some drawbacks such as performance decay over time and toxicity. While previous studies tackled directly the formulation problem introducing new dielectric materials and solvent [4], we adopted a new approach based on metamaterials [5]. We demonstrated that the hybridization of four parallel metallic wires arranged on a square unit cell provides the ability to control radiofrequency field inside a 7T head birdcage. In the present work, we show that these hybridized meta-atom (HMA) can be used to improve MRI acquisition in the presence of a head receive array routinely used for in vivo MRI protocol.

Published
2019

18. Kerker Effect in Ultrahigh-Field Magnetic Resonance Imaging

Author

Dubois, Marc, primary, Leroi, Lisa, additional, Raolison, Zo, additional, Abdeddaim, Redha, additional, Antonakakis, Tryfon, additional, de Rosny, Julien, additional, Vignaud, Alexandre, additional, Sabouroux, Pierre, additional, Georget, Elodie, additional, Larrat, Benoit, additional, Tayeb, Gérard, additional, Bonod, Nicolas, additional, Amadon, Alexis, additional, Mauconduit, Franck, additional, Poupon, Cyril, additional, Le Bihan, Denis, additional, and Enoch, Stefan, additional

Published
2018
Full Text
View/download PDF

19. Gratings: Theory and Numeric Applications, Second Revisited Edition

Author

Antonakakis, Tryfon, Baida, Fadi Issam, Belkhir, Abderrahmane, Cherednichenko, Kirill, Cooper, Shane, Craster, Richard, Demésy, Guillaume, Desanto, John, Granet, Gérard, Gralak, Boris, Goray, Leonid, Li, Lifeng, Maystre, Daniel, Stout, Brian, Zolla, Frédéric, Schmidt, Gunther, Skeleton, Elizabeth, Guenneau, Sébastien, Nicolet, André, Popov, Evgeni, Vial, Benjamin, Department of Mathematics [Imperial College London], Imperial College London, Franche-Comté Électronique Mécanique, Thermique et Optique - Sciences et Technologies (UMR 6174) (FEMTO-ST), Université de Technologie de Belfort-Montbeliard (UTBM)-Ecole Nationale Supérieure de Mécanique et des Microtechniques (ENSMM)-Université de Franche-Comté (UFC), Université Bourgogne Franche-Comté [COMUE] (UBFC)-Université Bourgogne Franche-Comté [COMUE] (UBFC)-Centre National de la Recherche Scientifique (CNRS), Laboratoire de Physique et Chimie Quantique [Tizi-Ouzou] (LPCQ ), Université Mouloud Mammeri [Tizi Ouzou] (UMMTO), School of Mathematics [Cardiff], Cardiff University, CLARTE (CLARTE), Institut FRESNEL (FRESNEL), Centre National de la Recherche Scientifique (CNRS)-École Centrale de Marseille (ECM)-Aix Marseille Université (AMU)-Centre National de la Recherche Scientifique (CNRS)-École Centrale de Marseille (ECM)-Aix Marseille Université (AMU), Department of Physics, Colorado School of Mines, Laboratoire des sciences et matériaux pour l'électronique et d'automatique (LASMEA), Université Blaise Pascal - Clermont-Ferrand 2 (UBP)-Centre National de la Recherche Scientifique (CNRS), Saint Petersburg Academic University, Tsinghua University [Beijing] (THU), Weierstrass Institute of Applied Analysis and Stochastics, Weierstrass Institute of Applied Analysis and Stochastics (WIAAS), Weierstrass Institute of Applied Analysis and Stochastics-Weierstrass Institute of Applied Analysis and Stochastics, EPSILON (EPSILON), ILM (ILM), E. Popov, ed., Université de Technologie de Belfort-Montbeliard (UTBM)-Ecole Nationale Supérieure de Mécanique et des Microtechniques (ENSMM)-Centre National de la Recherche Scientifique (CNRS)-Université de Franche-Comté (UFC), Université Bourgogne Franche-Comté [COMUE] (UBFC)-Université Bourgogne Franche-Comté [COMUE] (UBFC), and Aix Marseille Université (AMU)-École Centrale de Marseille (ECM)-Centre National de la Recherche Scientifique (CNRS)-Aix Marseille Université (AMU)-École Centrale de Marseille (ECM)-Centre National de la Recherche Scientifique (CNRS)

Subjects
[PHYS.PHYS.PHYS-OPTICS]Physics [physics]/Physics [physics]/Optics [physics.optics], gratings, numerical methods, electromagnetic theory
Abstract

International audience; The second Edition of the Book contains 13 chapters, written by an international team of specialist in electromagnetic theory, numerical methods for modelling of light diffraction by periodic structures having one-, two-, or three-dimensional periodicity, and aiming numerous applications in many classical domains like optical engineering, spectroscopy, and optical telecommunications, together with newly born fields such as photonics, plasmonics, photovoltaics, metamaterials studies, cloaking, negative refraction, and super-lensing. Each chapter presents in detail a specific theoretical method aiming to a direct numerical application by university and industrial researchers and engineers.In comparison with the First Edition, we have added two more chapters (ch.12 and ch.13), and revised four other chapters (ch.6, ch.7, ch.10, and ch.11)

Published
2014

20. Theoretical extensions and applications of high frequency homogenization on photonics, phononics and platonics

Author

Antonakakis, Tryfon, Craster, Richard, European Organization for Nuclear Research, and Imperial College London

Abstract

In the context of acoustics, single polarization electromagnetism and elastic plates we consider microstructured media that have an underlying periodic structure and we develop an asymptotic continuum model that captures the essential microstructural behaviour entirely in a macroscale setting. The asymptotics are based upon a two-scale approach and are valid even at high frequencies when the wavelength and microscale length are of the same order. The general theory is illustrated via one- and two-dimensional model problems that can have zero-frequency stop bands that preclude conventional averaging and homogenization theories. Localized defect modes created by material or shape variations are also modelled using the theory and compared to numerical simulations. Open Access

Published
2013
Full Text
View/download PDF

21. Homogenization Techniques for Periodic Structures

Author

Guenneau, Sébastien, Craster, Richard, Antonakakis, Tryfon, Cherednichenko, Kirill, Cooper, Shane, EPSILON (EPSILON), Institut FRESNEL (FRESNEL), Aix Marseille Université (AMU)-École Centrale de Marseille (ECM)-Centre National de la Recherche Scientifique (CNRS)-Aix Marseille Université (AMU)-École Centrale de Marseille (ECM)-Centre National de la Recherche Scientifique (CNRS), CLARTE (CLARTE), Department of Mathematics [Imperial College London], Imperial College London, School of Mathematics [Cardiff], Cardiff University, E. Popov, and Centre National de la Recherche Scientifique (CNRS)-École Centrale de Marseille (ECM)-Aix Marseille Université (AMU)-Centre National de la Recherche Scientifique (CNRS)-École Centrale de Marseille (ECM)-Aix Marseille Université (AMU)

Subjects
[PHYS.PHYS.PHYS-OPTICS]Physics [physics]/Physics [physics]/Optics [physics.optics], Physics::Optics
Abstract

International audience; We describe a selection of mathematical techniques and results that suggest interesting links between the theory of gratings and the theory of homogenization, including a brief introduction to the latter. We contrast the "classical" homogenization, which is well suited for the description of composites as we have known them since their advent until about a decade ago, and the "non-standard" approaches, high-frequency homogenization and high-contrast homogenization, developing in close relation to the study of photonic crystals and metamaterials, which exhibit properties unseen in conventional composite media, such as negative refraction allowing for super-lensing through a flat heterogeneous lens, and cloaking, which considerably reduces the scattering by finite size objects (invisibility) in certain frequency range. These novel electromagnetic paradigms have renewed the interest of physicists and applied mathematicians alike in the theory of gratings.

Published
2012

22. Gratings: Theory and Numeric Applications

Author

Antonakakis, Tryfon, Baida, Fadi Issam, Belkhir, Abderrahmane, Cherednichenko, Kirill, Cooper, Shane, Craster, Richard, Demésy, Guillaume, Desanto, John, Granet, Gérard, Gralak, Boris, Guenneau, Sébastien, Maystre, Daniel, Nicolet, André, Stout, Brian, Zolla, Frédéric, Vial, Benjamin, Popov, Evgeni, Department of Mathematics [Imperial College London], Imperial College London, Franche-Comté Électronique Mécanique, Thermique et Optique - Sciences et Technologies (UMR 6174) (FEMTO-ST), Université de Technologie de Belfort-Montbeliard (UTBM)-Ecole Nationale Supérieure de Mécanique et des Microtechniques (ENSMM)-Centre National de la Recherche Scientifique (CNRS)-Université de Franche-Comté (UFC), Université Bourgogne Franche-Comté [COMUE] (UBFC)-Université Bourgogne Franche-Comté [COMUE] (UBFC), Laboratoire de Physique et Chimie Quantique [Tizi-Ouzou] (LPCQ ), Université Mouloud Mammeri [Tizi Ouzou] (UMMTO), School of Mathematics [Cardiff], Cardiff University, CLARTE (CLARTE), Institut FRESNEL (FRESNEL), Aix Marseille Université (AMU)-École Centrale de Marseille (ECM)-Centre National de la Recherche Scientifique (CNRS)-Aix Marseille Université (AMU)-École Centrale de Marseille (ECM)-Centre National de la Recherche Scientifique (CNRS), Department of Physics, Colorado School of Mines, Laboratoire des sciences et matériaux pour l'électronique et d'automatique (LASMEA), Université Blaise Pascal - Clermont-Ferrand 2 (UBP)-Centre National de la Recherche Scientifique (CNRS), CONCEPT (CONCEPT), EPSILON (EPSILON), ILM (ILM), E. Popov, ed., E. Popov, Université de Technologie de Belfort-Montbeliard (UTBM)-Ecole Nationale Supérieure de Mécanique et des Microtechniques (ENSMM)-Université de Franche-Comté (UFC), Université Bourgogne Franche-Comté [COMUE] (UBFC)-Université Bourgogne Franche-Comté [COMUE] (UBFC)-Centre National de la Recherche Scientifique (CNRS), and Centre National de la Recherche Scientifique (CNRS)-École Centrale de Marseille (ECM)-Aix Marseille Université (AMU)-Centre National de la Recherche Scientifique (CNRS)-École Centrale de Marseille (ECM)-Aix Marseille Université (AMU)

Subjects
[PHYS.PHYS.PHYS-OPTICS]Physics [physics]/Physics [physics]/Optics [physics.optics], Physics::Optics
Abstract

International audience; The book containes 11 chapters written by an international team of specialist in electromagnetic theory, numerical methods for modelling of light diffraction by periodic structures having one-, two-, or three-dimensional periodicity, and aiming numerous applications in many classical domains like optical engineering, spectroscopy, and optical telecommunications, together with newly born fields such as photonics, plasmonics, photovoltaics, metamaterials studies, cloaking, negative refraction, and super-lensing. Each chapter presents in detail a specific theoretical method aiming to a direct numerical application by university and industrial researchers and engineers.

Published
2012

Catalog

Books, media, physical & digital resources
See catalog results