Table Of ContentSpin Wave
Confinement
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Spin Wave
Confinement
Second Edition
Propagating Waves
editors
PrebenMaegaard edited by
AnnaKrenz
Sergej O. Demokritov
WolfgangPalz
The Rise of Modern Wind Energy
Wind Power
for the World
Published by
Pan Stanford Publishing Pte. Ltd.
Penthouse Level, Suntec Tower 3
8 Temasek Boulevard
Singapore 038988
Email: [email protected]
Web: www.panstanford.com
British Library Cataloguing-in-Publication Data
A catalogue record for this book is available from the British Library.
Spin Wave Confinement: Propagating Waves (2nd Edition)
CAollp riygrhigtsh rte ©se r2v0e1d7. T Phains bSotoank,f oorr dp aPrutsb tlhisehrienogf ,P mtea.y L ntodt. be reproduced in any
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ISBN 978-981-4774-35-2 (Hardcover)
ISBN 978-1-315-11082-0 (eBook)
Printed in the USA
Contents
Introduction 1
1. Graded Magnonic Index and Spin Wave Fano Resonances
in Magnetic Structures: Excite, Direct, Capture 11
V. V. Kruglyak, C. S. Davies, Y. Au, F. B. Mushenok, G. Hrkac,
N. J. Whitehead, S. A. R. Horsley, T. G. Philbin, V. D. Poimanov,
R. Dost, D. A. Allwood, B. J. Inkson, and A. N. Kuchko
1.1 Introduction 11
1.2 Spin Wave Dispersion 15
1.3 Spin Wave Excitation 18
1.4 Spin Wave Steering 25
1.5 Spin Wave Output 31
1.6 Spin Wave Control and Magnonic Devices 32
2 . 1C.o7u plCeodn Scpluins iWonasv aens din O Mutalogonko nic Waveguides 3477
Yu. P. Sharaevsky, A. V. Sadovnikov, E. N. Beginin M. A. Morozova
S. E. Sheshukova, A. Yu. Sharaevskaya, S. V. Grishin, D. V. Romanenko
and S. A. Nikitov , ,
,
2.1 Introduction 47
2.2 Theoretical Approach 48
2.3 Spin Waves in Coupled Magnetic Stripes 51
2.4 Nonlinear Spin Wave Coupling in Magnonic Crystals 56
2.5 Multilayer Magnonic Crystals 60
2.6 Frequency-Selective Tunable Spin Wave Channeling 67
2.7 Conclusions 72
vi Contents
3. Tuning of the Spin Wave Band Structure in Nanostructured
Iron/Permalloy Nanowire Arrays 77
G. Gubbiotti, S. Tacchi, R. Silvani, M. Madami, G. Carlotti,
A. O. Adeyeye, and M. Kostylev
3.1 Introduction 78
3.2 Sample Fabrication and Brillouin Light Scattering
Measurements 80
3.3 Micromagnetic Simulations 83
3.4 Results and Discussion 84
3.4.1 Spin Wave Band Structure and Mode
Spatial Profiles for the NWs with
Rectangular Cross Section 84
3.4.2 Spin Wave Band Structure and Mode
Spatial Profiles for the NWs with L-Shaped
Cross Section 88
4 . M3.5a gnCeotinzacltuiosino Dnsy namics of Reconfigurable 2D 91
Magnonic Crystals 99
G. Shimon, A. Haldar, and A. O. Adeyeye
4.1 Introduction 100
4.2 Experiments and Simulations 102
4.2.1 Sample Fabrication 102
4.2.2 Ferromagnetic Resonance Spectroscopy 104
4.2.3 Microfocused Brillouin Light Scattering
Spectroscopy 105
4.2.4 Micromagnetic Simulations 107
4.3 Coupled Nanodisks 108
4.3.1 Effect of Interdisk Separations 108
4.3.1.1 BLS spectra 109
4.3.1.2 Simulated spectra 111
4.3.1.3 2D mode profiles 111
4.3.1.4 Dipolar field estimation 113
4.3.2 Configurational Anisotropy 114
Contents vii
4.3.2.1 Resonant spectra and 2D mode
profiles 115
4.3.2.2 Dipolar field models and
estimation 117
4.4 Reconfigurable Magnetization Dynamics 118
4.4.1 Rhomboid Nanomagnets 119
4.4.2 Two- or Three-Coupled Rhomboid
Nanomagnets 121
4.4.3 2D Magnonic Crystals 124
4.4.3.1 Synthetic antiferromagnets 124
4.4.3.2 Synthetic ferrimagnets 126
5 . 4Sp.5i n WSuamvem Oapryti cs in Patterned Garnet 112399
Ryszard Gieniusz, Andrzej Maziewski, Urszula Guzowska,
Paweł Gruszecki, Jarosław Kłos, Maciej Krawczyk,
and Alexander Stognij
5.1 Introduction 140
5.2 Spin Waves in Patterned YIG Micrometer Films 144
5.2.1 Experimental Methods and Samples
Details 144
5.2.2 Spin Waves Interaction with a Single
Antidot in YIG Micrometer-Thick Films 145
5.2.3 Spin Wave Interaction with a Line of
Antidots in YIG Micrometer Films 149
5.2.4 Modeling Spin Waves Total Nonreflection
Effect 152
5.2.5 Application of Total Nonreflection
Effect for Spin Wave Beam Switching 156
5.3 Optics of Spin Waves in Nanometer-Thick
YIG Film 157
5.3.1 Reflection of Spin Waves from the Edge
of the YIG Thin Film: Goos–Hänchen Effect 157
5.3.2 Molding of Spin Wave Refraction in
Two-Dimensional YIG Antidots Lattice 161
viii Contents
5.3.2.1 Angular filtering 162
5.3.2.2 All-angle collimation 164
6 . S5p.4i n WSuamvems ainry C ircular and Linear Chains of Discrete 165
Magnetic Elements 171
Yu. N. Barabanenkov, S. A. Osokin, D. V. Kalyabin, and S. A. Nikitov
6.1 Introduction 171
6.2 Multiple-Scattering Method 174
6.2.1 Circular Arrays 179
6.2.2 Linear Chains 180
6.3 Radiation Losses 181
6.4 Results 187
7 . 6M.5a gnCoonnicc lGursaiotinn g Coupler Effect and Microwave-to-Magno1n9 2
Transducers for Exchange-Dominated Spin Waves 197
Haiming Yu and Dirk Grundler
7.1 Introduction 197
7.2 Mix-and-Match Lithography for Mesas with
Magnonic Grating Couplers 200
7.2.1 Photolithography to Prepare a Film Mesa 200
7.2.2 Electron-Beam Lithography and Lift-Off
Processing for Magnetic Nanostructures 201
7.2.3 Integrated Coplanar Waveguide 202
7.3 Antenna Design for Spin Wave Excitation and
Detection 202
7.3.1 Coplanar Waveguide 202
7.4 All-Electrical Spin Wave Spectroscopy 204
7.4.1 Scattering Parameters 206
7.4.2 VNA Calibration 206
7.4.3 Measurement Configuration and Data
Analysis 207
7.5 Spin Wave Properties Studied by Experiments 207
7.5.1 Spin Wave Group Velocity 207
Contents ix
7.5.2 Decay Length and Nonreciprocity
Parameter 208
7.6 Performance of a Spin Wave Grating Coupler 209
7.6.1 Grating Coupler–Induced Spin Wave Modes 211
7.6.2 Towards Omnidirectional Spin Wave
Emission 212
7.6.3 Enhanced Magnon Excitation via Resonant
Nanodisks 212
7.6.4 Sub-100 nm-Wavelength Spin Waves 213
7.6.5 Angular Dependance of Propagating
Grating Coupler Modes 213
8 . 7Sp.7i n WCoanveclsu osino nSps iann Sdt rOuucttluoroeks : Topology, Localization, 215
and Nonreciprocity 219
Robert L. Stamps, Joo-Von Kim, Felipe Garcia-Sanchez, Pablo Borys,
Gianluca Gubbiotti, Yue Li, and Robert E. Camley
8.1 Introduction 219
8.2 Chiral Interactions and Spin Waves 222
8.2.1 Nonreciprocity: Symmetry Breaking
through the DMI 223
8.2.2 Caustics 226
8.3 Localization and Reconfigurability 230
8.3.1 Domain Wall Channeling 231
8.3.2 Edge (Partial Wall) Channeling 235
8.3.3 Magnetic Configurations in Artificial
Spin Ice 241
8.3.4 Reprogrammable Microwave Response 247
9 . S8t.4e eriOnug tMlooagkn ons by Noncollinear Spin Textures 225601
Katrin Schultheiss, Kai Wagner, Attila Kákay, and
Helmut Schultheiss
9.1 Introduction 262
9.2 Magnon Transport and Dispersion in Magnonic
Waveguides 265
