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Nonlinear Photonic Crystals 2003 ed. [Kõva köide]

Edited by Benjamin J. Eggleton, Edited by Richart E. Slusher

Formaat: Hardback, 376 pages, kõrgus x laius: 235x155 mm, kaal: 1620 g, XX, 376 p., 1 Hardback
Sari: Springer Series in Photonics 10
Ilmumisaeg: 29-Nov-2002
Kirjastus: Springer-Verlag Berlin and Heidelberg GmbH & Co. K
ISBN-10: 3540439005
ISBN-13: 9783540439004

Teised raamatud teemal:

Applied optics
Optical physics - (Hetkel poes: 1 nimetust)

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Formaat: Hardback, 376 pages, kõrgus x laius: 235x155 mm, kaal: 1620 g, XX, 376 p., 1 Hardback
Sari: Springer Series in Photonics 10
Ilmumisaeg: 29-Nov-2002
Kirjastus: Springer-Verlag Berlin and Heidelberg GmbH & Co. K
ISBN-10: 3540439005
ISBN-13: 9783540439004

Teised raamatud teemal:

Applied optics
Optical physics - (Hetkel poes: 1 nimetust)

Püsilink: https://www.kriso.ee/db/9783540439004.html

Märksõnad:

Nonlinear optical studies of periodic dielectric structures have blossomed in the past two decades. New fabrication techniques are producing fiber grating and multidimensional photonic crystals in materials where the refractive index can be varied by light pulses and beams. Gap solitons that can propagate at any velocity from zero to the speed of light and spatial solitons that prevent the diffractive spread of light in waveguide arrays are two examples of the new phenomena described in this book. Many new materials and structures are being developed that will impact new optical devices with applications in optical communications and optical data processing. All the above topics are addressed in detail in this book.

Nonlinear optical studies of periodic dielectric structures have blossomed in the past two decades. New fabrication techniques are producing fiber grating and multidimensional photonic crystals in materials where the refractive index can be varied by light pulses and beams. Gap solitons that can propagate at any velocity from zero to the speed of light and spatial solitons that prevent the diffractive spread of light in waveguide arrays are two examples of the new phenomena described in this book. Microstructured optical fibers allow control of the guided mode dispersion for broadband light generation and new soliton phenomena. Many new materials and structures are being developed that will impact new optical devices with applications in optical communications and optical data processing. All the above topics are addressed in detail in this book.

Arvustused

From the reviews:

MATERIALS TODAY

"Slusher and Eggleton have persuaded the worlds leading experts to contribute significant original articles and chapters to this book. Among the interesting effects represented here are soliton-like pulse propagation; polarization instability; gap solitons, particularly as driven by Raman-type nonlinearities; slow light; and self-induced transparency This volume is an excellent accomplishment, brining together many authors in a common and consistent theme in a rapidly developing field."

"The book provides an overview of mostly one-dimensional nonlinear photonic crystals . It has a good index and numerous references to earlier work in the field of nonlinear photonic crystals. I recommend the book particularly to postgraduates who seek a well referenced and structured overview of this subject, as well as to specialists in the field of photonic crystals who want to expand their research in nonlinear directions." (Alexander Moroz, OPN - Optics & Photonics News, April, 2005)

"In the world of linear photonic crystals, significant breakthroughs are currently being made . Hence, a need for specialization, as in this well-edited collection, Nonlinear Photonic Crystals, which ponders the nonlinear optical properties of photonic crystals. Slushers and Eggleton have persuaded the worlds leading experts to contribute significant original articles and chapters to this book. This volume is an excellent accomplishment, bringing together many authors in a common and consistent theme in a rapidly developing new field." (Eli Yablonovitch, Materials Today, March, 2004)

Introduction

(14)

R.E. Slusher

B.J. Eggleton

History

(2)

Applications

(1)

Future Directions and Challenges

(1)

Book Outline

(5)

References

(5)

Part I Nonlinear Photonic Crystal Theory

Theory of Nonlinear Pulse Propagation in Periodic Structures

(18)

A. Aceves

C.M de Sterke

M.I. Weinstein

Introduction

(1)

Gratings at Low Intensities

(8)

Gratings at High Intensities

(3)

Nonlinear Schrodinger Limit

(6)

References

(3)

Polarization Effects in Birefringent, Nonlinear, Periodic Media

(28)

S. Pereira

J.E. Sipe

Introduction

(2)

Derivation of the Equations

(13)

The Linear Coupled Mode Equations

(2)

Dispersion Relation for the Linear CME

(2)

Effective Birefringence

(3)

Nonlinearity

(2)

The Coupled Nonlinear Schrodinger Equations

(3)

Numerical Simulations and Experimental Results

(11)

Three Regimes of Propagation

(3)

Approximate Solution for Polarization Evolution

(2)

Frequency Dependent Polarization Instability

(1)

Logic Gates using Birefringence

(4)

Conclusion

(2)

References

(1)

Raman Gap Solitons in Nonlinear Photonic Crystals

(12)

H.G. Winful

V.E. Perlin

Introduction and Brief History

(3)

Propagation Equations

(1)

Ultraslow and Stationary Raman Gap Solitons

(4)

Distributed-Feedback Fiber Raman Laser

(1)

Conclusion

(3)

References

(2)

Self-transparency and Localization in Gratings with Quadratic Nonlinearity

(34)

C. Conti

S. Trillo

Introduction

(1)

Stopbands Originating from Linear Versus Nonlinear Periodic Properties

(5)

Self-transparency in the Stationary Regime

(6)

The Models

(2)

In-gap Self-transparency

(2)

Out-gap Dynamics in Quadratic DFBs

(1)

Regularity Versus Disorder in Quadratic DFBs

(1)

Moving Solitons in the Bragg Grating

(7)

Moving Solitons in a Nonlinear-Gap

(5)

The Copropagating Case: Polarization Resonance Solitons

(2)

Stability of Localized Excitations

(3)

Conclusions and Further Developments

102

(5)

References

103

(4)

Photonic Band Edge Effects in Finite Structures and Applications to χ(2) Interactions

107

(34)

G. D'Aguanno

M. Centini

J.W. Haus

M. Scalora

C. Sibilia

M.J. Bloemer

C.M. Bowden

M. Bertolotti

Introduction

107

(1)

The PBG Structure as an ``Open Cavity'': Density of Modes (DOM) and Effective Dispersion Relation

108

(8)

Group Velocity, Energy Velocity, and Superluminal Pulse Propagation

116

(6)

χ(2) Interactions and the Effective Medium Approach

122

(3)

Examples: Blue and Green Light Generation

125

(2)

Frequency Down-Conversion

127

(1)

Effective Index Method

128

(2)

Equations of Motion and Pulse Propagation Formalism

130

(6)

Conclusions

136

(5)

References

138

(3)

Theory of Parametric Photonic Crystals

141

(28)

P.D. Drummond

H. He

Introduction

141

(2)

The Parametric Gap Equations

143

(5)

One-dimensional Maxwell Equations

143

(1)

Bragg Grating Structure

144

(1)

Grating Equations

145

(1)

One-dimensional Dispersion Relation

146

(2)

Hamiltonian Method

148

(5)

Linear Part of the Hamiltonian and Mode Expansion

149

(1)

Transverse Modes

150

(1)

Longitudinal Modes

151

(2)

The Effective Mass Approximation

153

(3)

Nonlinear Part of the Hamiltonian

154

(2)

Simulton Solutions

156

(6)

Higher Dimensional Solutions

158

(2)

Stability

160

(1)

The EMA and Stability

161

(1)

Material Group Velocity Mismatch

161

(1)

Higher Dimensional Stability

162

(1)

Conclusions

162

(7)

References

164

(5)

Part II Nonlinear Fiber Grating Experiments

Nonlinear Propagation in Fiber Gratings

169

(32)

B.J. Eggleton

R.E. Slusher

Introduction

169

(2)

Linear Properties of Fiber Bragg Gratings

171

(6)

Fiber Bragg Gratings

171

(4)

Polarization Properties of Fiber Bragg Gratings

175

(2)

Nonlinear Properties of Fiber Bragg Gratings

177

(6)

Nonlinear Coupled Mode equations

177

(2)

Bragg Solitons

179

(2)

Modulational Instability

181

(1)

Nonlinear Polarization Effects

181

(2)

Experimental Apparatus

183

(3)

Experimental Results

186

(11)

Linear Regime

186

(2)

Fundamental Soliton Regime

188

(4)

Modulational Instability Experiments

192

(1)

Nonlinear Polarization Dependent Propagation Experiments

193

(4)

Conclusions and Future Directions

197

(4)

References

198

(3)

Gap Solitons Experiments within the Bandgap of a Nonlinear Bragg Grating

201

(20)

N.G.R. Broderick

Introduction

201

(1)

Experimental Observation of Nonlinear Switching in an 8 cm Long Fibre Bragg Grating

202

(6)

Characterisation of an All-optical Grating Based AND Gate

205

(3)

Discussion of Early Results

208

(1)

Switching Experiments in Long Gratings

208

(6)

Results for a 20 cm Long Fibre Grating

208

(4)

Switching in a 40 cm long Fibre Grating

212

(1)

Discussion of Results

213

(1)

Nonlinear Effects in AIGaAs Gratings

214

(3)

Discussion and Conclusions

217

(4)

References

218

(3)

Pulsed Interactions in Nonlinear Fiber Bragg Gratings

221

(34)

M.J. Steel

N.G.R. Broderick

Introduction

221

(1)

Mathematical Description

222

(6)

Linear Properties

223

(2)

Nonlinear Effects

225

(3)

Elements of Optical Pulse Compression

228

(1)

Conventional Pulse Compression

229

(1)

Compression in Fiber Bragg Gratings

229

(1)

XPM Compression in Fiber Gratings: The Optical Pushbroom

229

(4)

Transmitted Field

231

(1)

Minimum Power Requirements

232

(1)

Experimental Results

233

(7)

CW Switching

235

(1)

Pulsed Experiments: Realizing the Optical Pushbroom

236

(2)

Backward-Propagating Pushbrooms

238

(1)

Discussion on Experimental Results

239

(1)

Parametric Amplification in Fiber Gratings

240

(10)

Material Dispersion

240

(1)

Grating-Assisted Continuous Wave Frequency Conversion

241

(2)

Pulsed Parametric Amplification

243

(1)

Results of the Full System

244

(3)

Mechanism for Gain

247

(3)

Discussion

250

(5)

References

250

(5)

Part III Novel Nonlinear Periodic Systems

Chalcogenide Glasses

255

(14)

G. Lenz

S. Spalter

Introduction

255

(1)

General Considerations

256

(3)

Chalcogenide Glass

259

(4)

Application to Pulse Compressors and Pulse Train Generators

263

(3)

Conclusions

266

(3)

References

266

(3)

Optical Properties of Microstructure Optical Fibers

269

(16)

J.K. Ranka

A.L. Gaeta

Introduction

269

(1)

Microstructure Optical Fibers

270

(2)

Optical Properties

272

(3)

Nonlinear Interactions and Visible Continuum Generation

275

(4)

Numerical Analysis

279

(3)

Application and Measurement

282

(1)

Conclusion

283

(2)

References

283

(2)

Semiconductor Optical Amplifiers with Bragg Gratings

285

(16)

G.P. Agrawal

D.N. Maywar

Introduction

285

(1)

Active Bragg Resonances

285

(3)

Semiconductor Optical Amplifiers

285

(1)

Distributed Feedback

286

(1)

Nonlinear Bragg Resonances

287

(1)

Optical Bistability

288

(2)

Physical Origin

288

(1)

Switching Characteristics

289

(1)

Theoretical Model

290

(3)

Average-Gain Equation

291

(1)

Analytic Solution for the Optical Power

292

(1)

Resonant-Type SOAs

293

(2)

All-Optical Signal Processing

295

(4)

Combinational Logic

295

(2)

Sequential Logic

297

(2)

Concluding Remarks

299

(2)

References

300

(1)

Atomic Solitons in Optical Lattices

301

(22)

S. Potting

P. Meystre

E.M. Wright

Introduction

301

(1)

Nonlinear Atom Optics

302

(2)

One-dimensional Atomic Solitons

304

(5)

One-dimensional GPE

304

(1)

Dark Solitons

305

(1)

Bright Solitons

306

(1)

Gap Solitons in Optical Lattices

307

(2)

Atomic Gap Solitons

309

(5)

The Physical Model for a Spinor Condensate

309

(1)

Soliton Solutions

310

(2)

Soliton Properties

312

(2)

Magneto-optical Control

314

(2)

Manipulation Tools

314

(1)

Excitation and Application

315

(1)

Conclusion

316

(7)

References

318

(5)

Part IV Spatial Solitons in Photonic Crystals

Discrete Solitons

323

(28)

H. Eisenberg

Y. Silberberg

Introduction

323

(1)

Theory

324

(7)

Discrete Diffraction

324

(2)

The Diffraction Relation

326

(2)

Nonlinear Excitations -- Discrete Solitons

328

(2)

Dynamics of Light in a Waveguide Array

330

(1)

Experiments

331

(16)

Experimental Considerations

331

(1)

Experimental Setup

332

(1)

Demonstration of Discrete Solitons

333

(2)

Formation of Discrete Solitons from Various Excitations

335

(5)

Studies of Discrete Soliton Dynamics

340

(4)

Self-Defocusing Under Anomalous Diffraction

344

(2)

Interaction of a Linear Defect State with Discrete Diffraction

346

(1)

Conclusion

347

(4)

References

349

(2)

Nonlinear Localized Modes in 2D Photonic Crystals and Waveguides

351

(20)

S.F. Mingaleev

Y.S. Kivshar

Introduction

351

(2)

Basic Equations

353

(1)

Defect Modes: The Green Function Approach

354

(2)

Effective Discrete Equations

356

(1)

Nonlinear Waveguides in 2D Photonic Crystals

357

(6)

Staggered and Unstaggered Localized Modes

359

(2)

Stability of Nonlinear Localized Modes

361

(2)

Self-Trapping of Light in a Reduced-Symmetry 2D Nonlinear Photonic Crystal

363

(4)

Concluding Remarks

367

(4)

References

368

(3)

Index

371

Nonlinear Photonic Crystals 2003 ed. [Kõva köide]

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