Controlling Light in Optically Induced Photonic Lattices (eBook)

Bernd Terhalle (Autor)

eBook Download: PDF

2011 | 2011
X, 106 Seiten
Springer Berlin (Verlag)
978-3-642-16647-1 (ISBN)

Infos

Discrete periodic structures play an important role in physics, and have opened up an exciting new area of investigation in recent years. Questions relating to the control of light in such structures still represent a major challenge. It is this highly active field that is addressed in the present thesis. Using the model system of a photorefractive nonlinearity that allows one to simultaneously create and control photonic lattices by light, the author obtains a comprehensive picture of the control of nonlinear and quantum optics phenomena in photonic lattices. He describes and demonstrates experimentally for the first time resonant transitions in two-dimensional hexagonal lattices, including Rabi oscillations and Landau-Zener tunneling, as well as the direct control and exploitation of these transitions. A particular highlight of this thesis is the study of soliton-cluster switching and control of Zener tunneling.

Inhalt

Controlling Light in Optically InducedPhotonic Lattices 3
Supervisor’s Foreword 5
Acknowledgments 7
Contents 9
1 Motivation and Outline 11
References 13
2 Light Propagation in Nonlinear Periodic Media 15
2.1…Basic Equations of Wave Propagation in Nonlinear Optical Media 15
2.2…The Photorefractive Nonlinearity 17
2.2.1 The Linear Electrooptic Effect 18
2.2.2 The Band Transport Model 19
2.2.3 Isotropic Approximation 21
2.2.4 Anisotropic Model 22
2.3…Periodic Photonic Structures 23
2.3.1 Band Gap Spectrum 25
2.3.2 Linear Propagation 26
2.3.3 Nonlinear Propagation 27
References 29
3 Optically Induced Photonic Lattices 31
3.1…The Optical Induction Technique 31
3.1.1 Experimental Realizations 33
3.2…Structure Analysis of the Induced Refractive Index Patterns 36
3.2.1 Waveguiding 36
3.2.2 Brillouin Zone Spectroscopy 36
3.2.3 Orientation Anisotropy 38
3.3…Hexagonal Lattices 40
References 43
4 Resonant Rabi Oscillations and Interband Transitions 44
4.1…Introduction 44
4.2…The Landau-Zener-Majorana Model 45
4.3…Rabi Oscillations 48
4.3.1 Two-Level Rabi Oscillations 49
4.3.1.1 Single-Beam Excitation 49
4.3.1.2 Two-Beam Excitation 52
4.3.2 Three-Level Rabi Oscillations 55
4.4…Landau-Zener Tunneling 57
4.4.1 Symmetric Tunneling 60
4.4.2 Asymmetric Tunneling 62
4.5…Nonlinear Tunneling 64
References 67
5 Nonlinear Light Localization 69
5.1…Solitons in Periodic Photonic Structures 69
5.1.1 Discrete and Gap Solitons 69
5.1.2 Discrete Vortex Solitons 72
5.2…Anisotropy-Controlled Stability of Discrete Vortex Solitons 74
5.3…Double-Charge Discrete Vortex Solitons 79
5.3.1 Focusing Nonlinearity 81
5.3.2 Defocusing Nonlinearity 85
5.4…Multivortex Solitons 88
References 92
6 Summary and Outlook 94
References 96
7 Appendices 97
7.1… Numerical Methods 97
7.1.1 Solving the Potential Equation 97
7.1.2 The Beam Propagation Method 98
7.1.3 Finding Solitary Solutions 99
7.2… Characterization of the Spatial Light Modulator 100
7.3… The Phase Imprinting Technique 102
References 104
Curriculum Vitae 105
Publications 107

Produkt-Details

• Erscheint lt. Verlag: 28.1.2011
• Reihe/Serie: Springer Theses
• Reihe/Serie: Springer Theses
• Zusatzinfo: X, 106 p.
• Verlagsort: Berlin
• Sprache: englisch
• Themenwelt: Naturwissenschaften ► Physik / Astronomie
• Themenwelt: Technik ► Elektrotechnik / Energietechnik
• Schlagworte: Landau-Zener Tunneling • Nonlinear Photonic Crystals • Photonic Lattices • Rabi Oscillations • Terhalle Thesis • Vortex Solitons
• ISBN-10: 3-642-16647-4 / 3642166474
• ISBN-13: 978-3-642-16647-1 / 9783642166471