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Publié par | Thesee |
Nombre de lectures | 37 |
Langue | English |
Poids de l'ouvrage | 6 Mo |
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N° d’ordre : 155
ECOLE CENTRALE DE LILLE
THÈSE
présentée en vue
d’obtenir le grade de
DOCTEUR
en
Spécialité : Micro et Nano Technologies, Acoustique et Télécommunications
par
Oleksandr Yevstafyev
DOCTORAT DELIVRE CONJOINTEMENT PAR L’ECOLE CENTRALE DE LILLE
ET TAURIDAV.I. VERNADSKY NATIONAL UNIVERSITE
Titre de la thèse :
Instabilité Explosive des Ondes Magneto-Élastiques
Soutenue le 17 juin 2011 devant le jury d’examen composé de :
Mr. Marc LETHIECQ Professeur à l’Université de To urs Président
Rapporteur Mr. Jean-Marie LE BRETON Professeur à l’Université de Rouen
Rapporteur Mr. Igor LYUBCHANSKII Professeur à Donetsk Physical et
Technical Institut de l’Académie
National des Sciences d’Ukraine
Examinateur Mr. Olivier BOU MATAR Professeur à l’Ecole Centrale de Lille
Examinateur Mr. Yuri PYL’NOV Professeur à l’Institut Radiotechnique,
Electronique et Automation de Moscou
Directeur de Thèse Mr. Philippe PERNOD Professeur à l’Ecole Centrale de Lille Thèse Mr. Vladimir PREOBRAZHENSKY r à l’Ecole Centrale de Lille
Directeur de recherche à l’Académie des
Sciences de Russie.
Directeur de Thèse Mr. Volodymyr BERZHANS’KY Professeur à Taurida V.I. Vernadsky
National Université de Simferopol
Thèse préparée dans le Laboratoire International Associé LEMAC à l’Institut d’Electronique,
de Microélectronique et de Nanotechnologie (IEMN, UMR CNRS 8520) (France) et à
TauridaV.I. Vernadsky National Universite (TNU) (Ukraine) dans le cadre d’une cotutelle
Ecole Doctorale SPI 072 (Lille I, Lille III, Artois, ULCO, UVHC, EC Lille)
PRES Université Lille Nord-de-France
tel-00607191, version 1 - 8 Jul 2011
tel-00607191, version 1 - 8 Jul 2011Explosive Instability of Magneto-Elastics Waves
Table of Contents
Table of Contents
Acknowledgement .................................................................................................................... 7
Introduction .............................................................................................................................. 8
Chapter I. Parametric and Nonlinear Magnetoelastic Effects in Magnetically Ordered
Materials... 13
1.1 Chapter I introduction ..................................................................................................... 14
1.2 Magnetoelastic waves in ferromagnets and ferrites. Magnetoacoustic resonance ......... 14
1.3 Parametric magnetoelastic instabilities in ferrites .......................................................... 17
1.3.1 Parametric instabilities excited by transverse pumping .......................................... 18
1.3.2 Parametric instabilities excited by parallel pumping .............................................. 20
1.4 Magnetoelastic parametric wave phase conjugation ...................................................... 23
1.4.1 The phenomenon of wave phase conjugation .......................................................... 23
1.4.2 Principles of parametric wave phase conjugation in solids .................................... 25
1.4.3 Parametrically active media for wave phase conjugation. ...................................... 27
1.4.4 Applications of phase conjugated ultrasonic beams ................................................ 28
1.5 Magnetoelastic waves in antiferromagnets ..................................................................... 30
1.5.1 Magnetoelastic coupling coefficient in antiferromagnets ........................................ 30
1.5.2 The frozen lattice (magnetoelastic gap) effect in magnetic materials ..................... 31
1.5.3 Spectra of magnetoelastic excitations in easy plane antiferromagnets ................... 33
1.5.4 Magnetoelastic coupling of critical resonator modes ............................................. 34
1.6 Parametric excitation of magnetoelastic waves in easy plane antiferromagnets ............ 35
1.7 Giant effective anharmonicity of easy plane antiferromagnets ...................................... 39
1.8 Over-threshold nonlinearity of parametric magnetoelastic waves and excitations in
antiferromagnets ................................................................................................................... 40
1.8.1 Nonlinear effects due to the third order effective anharmonicity ............................ 41
1.8.2 Cubic nonlinearity in antiferromagnets ................................................................... 43
1.9 Multi-boson nonlinear effects in magnetic materials. Three waves coupling ............... 45
1.10 Chapter I conclusion ................................................................................................... 48
Oleksandr Yevstafyev Page 3 of 196
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Chapter II. Single Mode Three Quasi-Phonon Excitations and Supercritical Dynamics
in Effective Anharmonicity Model ........................................................................................ 51
2.1 Chapter II introduction ................................................................................................... 52
2.2 Anharmonicity model of three quasi-phonon excitations ............................................... 52
2.3 Three quasi-phonon interaction coefficient in perpendicular pumping geometry.......... 55
2.4 Single mode three quasi-phonon excitations model ....................................................... 57
2.5 Threshold of the three quasi-phonon parametric instability ........................................... 59
2.6 Explosive behavior of the parametric instability without higher order nonlinearity ...... 60
2.7 Influence of cubic nonlinearity on the parametric instability ......................................... 62
2.8 Compensation of the cubic nonlinearity in single mode three quasi-phonons excitations
.............................................................................................................................................. 64
2.9 Numerical simulations of the three quasi-phonon excitations using the anharmonicity
model .................................................................................................................................... 65
2.10 Chapter II conclusion .................................................................................................... 68
Chapter III. Experimental Studies of Supercritical Explosive Dynamics of Single Mode
Three Quasi-Phonon Instability ............................................................................................ 69
3.1 Chapter III introduction .................................................................................................. 70
3.2 Easy plane antferromagnetic resonators of α-Fe O and FeBO .................................... 70 2 3 3
3.3 Experimental setup for the studies of magnetoelastic properties ................................... 72
3.4 Magneto-elastic characteristics of α-Fe O resonator .................................................... 73 2 3
3.4.1 Spectrum of magneto-elastic coupled oscillations of α-Fe O ................................ 73 2 3
3.4.2 Dynamic properties of hematite contour shear mode .............................................. 74
3.4.3 Nonlinear frequency shift of the magneto-elastic mode .......................................... 77
3.4.4 Attenuation of contour shear mode in hematite resonator ...................................... 79
3.5 Experimental technique of supercritical three quasi-phonon instability research ......... 81
3.5.1 Geometry of the three quasi-phonon experiment ..................................................... 81
3.5.2 Resonator excitation for three quasi-phonon instability observation ...................... 82
3.5.3 Experimental setup for the explosive instability research ....................................... 83
3.6 Supercritical single mode three quasi-phonon excitations in α-Fe O ........................... 85 2 3
3.7 Magnetoelastic characteristics of FeBO resonator ........................................................ 87 3
3.7.2 Dynamic properties of contour shear mode in FeBO ............................................. 90 3
3.7.3 Nonlinear frequency shift of the magneto-elastic mode .......................................... 93
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3.7.4 Attenuation of contour shear mode oscillations in iron borate resonator ............... 97
3.7.5 Peculiarities of low temperature dynamics of FeBO resonator ........................... 100 3
3.8 Supercritical single mode three quasi-phonon excitations in FeBO ........................... 103 3
3.9 Chapter III conclusion .................................................................................................. 108
Chapter IV. Strongly Nonlinear Model of Three Quasi- Phonon Excitations in AFEPs.