List of contributors ........................................... ix
Preface ........................................................ xi
1 Light propagation and emission in complex photonic media ..... 1
WILLEM L. VOS, AD LAGENDIJK, AND ALLARD P. MOSK
1.1 General overview ........................................ 1
1.2 Light in complex photonic media ......................... 3
1.2.1 Random media ..................................... 3
1.2.2 Photonic band gap crystals ....................... 7
1.2.3 Waveguides and coupled cavities .................. 7
1.2.4 Quasicrystals and aperiodic media ................ 7
1.3 Shaping wavefronts in complex media ..................... 8
1.4 Unified view of complex media: photonic interaction
strength ............................................... 10
2 Transport of localized waves via modes and channels ......... 13
ZHOU SHI AND AZRIEL GENACK
2.1 Introduction ........................................... 13
2.2 Analogies between transport of electrons and
classical waves ........................................ 15
2.3 Modes .................................................. 22
2.4 Lasing in localized modes .............................. 34
2.5 Channels ............................................... 41
2.6 Focusing ............................................... 49
2.7 Conclusion ............................................. 52
3 Modes structure and interaction in random lasers ............ 54
MARCO LEONETTI AND CEFE LÓPEZ
3.1 From lasers to random lasers ........................... 54
3.2 Random lasing regimes .................................. 56
3.2.1 Diffusive random lasers ......................... 56
3.2.2 Mode structures in random lasers ................ 59
3.2.3 Anderson localization ........................... 59
3.2.4 Lucky photons ................................... 60
3.2.5 Localized modes ................................. 61
3.3 Tuning emission from a macroscopic random laser ........ 63
3.4 Driving modes of a microscopic random laser ............ 66
3.4.1 Fluctuations .................................... 67
3.4.2 Local mode selection ............................ 70
3.5 Collective random lasing regimes ....................... 71
3.6 Applications and perspectives .......................... 77
4 Ordered and disordered light transport in coupled microring
resonators .................................................. 80
SHAYAN MOOKHERJEA
4.1 Introduction ........................................... 80
4.2 Optical microring chains ............................... 82
4.2.1 Experimental details ............................ 84
4.3 From ordered transport to disorder-induced bandwidth
collapse ............................................... 85
4.4 Statistical measurements of light transport in the
intermediate regime .................................... 89
4.4.1 Intensity statistics ............................ 93
4.4.2 Time statistics ................................. 95
4.5 Summary ................................................ 97
5 One-dimensional photonic quasicrystals ...................... 99
MHER GHULINYAN
5.1 Introduction ........................................... 99
5.1.1 In between perfect periodicity and complete
randomness ..................................... 100
5.2 ID quasiperiodicity: Fibonacci chain .................. 101
5.3 Photons in a ID optical potential ..................... 103
5.4 Photons in a ID quasiperiodic potential ............... 108
5.4.1 Electronic energy spectrum of ID Fibonacci
quasicrystals .................................. 109
5.4.2 Energy spectrum of ID photonic Fibonacci
quasicrystals .................................. 109
5.4.3 Origin of band-edge states and pseudo band
gaps ........................................... 119
6 2D pseudo-random and deterministic aperiodic lasers ........ 130
HUI CAO, HEESO NOH, AND LUCA DAL NEGRO
6.1 Introduction .......................................... 130
6.2 Overview .............................................. 131
6.3 Pseudo-random laser ................................... 133
6.4 Optimization of structural aperiodicity for lasing .... 138
6.5 Conclusions and future prospects ...................... 143
7 Three-dimensional photonic quasicrystals and deterministic
aperiodic structures ....................................... 146
ALEXANDRA LEDERMANN, MICHAEL RENNER, AND GEORG VON
FREYMANN
7.1 Classification ........................................ 147
7.1.1 Quasi-periodic Fourier spectra ................. 148
7.1.2 Non quasi-periodic Fourier spectra ............. 151
7.1.3 Mode structure ................................. 152
7.1.4 Density of states and band structure ........... 153
7.2 Generation of three-dimensional point-sets ............ 154
7.2.1 Quasiperiodic pattern .......................... 154
7.2.2 3D aperiodic point-sets from mathematical
sequences ...................................... 162
7.3 Fabrication ........................................... 163
7.3.1 One-and two-dimensional photonic structures .... 164
7.3.2 Three-dimensional photonic structures .......... 164
7.3.3 Direct laser writing ........................... 166
7.4 Examples .............................................. 167
7.4.1 High quality SU-8 icosahedral photonic
quasicrystals .................................. 167
7.4.2 Rhombicuboctahedral quasicrystals .............. 172
7.4.3 Deterministic aperiodic structures ............. 177
8 Cavity quantum electrodynamics with three-dimensional
photonic band gap crystals ................................. 180
WILLEM L. VOS AND LÉON A. WOLDERING
8.1 Introduction .......................................... 180
8.2 Theory ................................................ 183
8.2.1 Spontaneous emission control ................... 183
8.2.2 The local density of optical states ............ 184
8.2.3 Quantum efficiency of the emitters and degree
of cQED control ................................ 185
8.2.4 Beyond weak coupling ........................... 188
8.3 Ultimate tools for 3D photonic band gap cavity QED .... 189
8.3.1 Requirements for 3D photonic band gap
crystals ....................................... 189
8.3.2 Optical signature of a 3D photonic band gap .... 191
8.3.3 Inverse opals .................................. 193
8.3.4 Diamond-like photonic crystals ................. 196
8.3.5 Woodpiles ...................................... 196
8.3.6 Inverse woodpiles .............................. 201
8.3.7 Other diamond-like structures .................. 203
8.4 Cavity quantum electrodynamics ........................ 204
8.4.1 Inhibited spontaneous emission in a 3D
photonic band gap .............................. 204
8.4.2 Emission in a nanobox for light ................ 207
8.4.3 Laser action in 3D photonic crystal
nanocavities ................................... 208
8.4.4 Ultrafast all-optical switching of 3D
photonic band gap crystals ..................... 209
8.5 Applications and prospects ............................ 211
8.6 Summary ............................................... 213
References ................................................. 215
Index ......................................................... 243
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