Verfügbarkeit: Nonlinear fiber optics

Nonlinear fiber optics:

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Bibliographische Detailangaben
1. Verfasser:	Agrawal, Govind P. 1951- (VerfasserIn)
Format:	Buch
Sprache:	English
Veröffentlicht:	Amsterdam [ u.a.] Elsevier, Acad. Press 2013
Ausgabe:	5. ed.
Schlagworte:	Fiber optics Nonlinear optics Nichtlineare Optik Faseroptik Nichtlineare Brechung
Online-Zugang:	Inhaltsverzeichnis Klappentext
Beschreibung:	Literaturangaben
Beschreibung:	XX, 629 S. Ill., graph. Darst.
ISBN:	9780123970237

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Datensatz im Suchindex

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adam_text	Contents Dedication .................................................................................................................. v Author Biography .................................................................................................... vii Preface .....................................................................................................................xix CHAPTER 1 Introduction .................................................................................1 1.1 Historical Perspective .....................................................................1 1.2 Fiber Characteristics .......................................................................3 1.2.1 Material and Fabrication ........................................................4 1.2.2 Fiber Losses ...........................................................................5 1.2.3 Chromatic Dispersion ............................................................6 1.2.4 Polarization-Mode Dispersion .............................................11 1.3 Fiber Nonlinearities ......................................................................15 1.3.1 Nonlinear Refraction ...........................................................15 1.3.2 Stimulated Inelastic Scattering ............................................16 1.3.3 Importance of Nonlinear Effects ..........................................18 1.4 Overview .......................................................................................19 Problems ...............................................................................................21 References ............................................................................................22 CHAPTER 2 Pulse Propagation in Fibers ................................................27 2.1 Maxwell s Equations ....................................................................27 2.2 Fiber Modes ..................................................................................30 2.2.1 Eigenvalue Equation ............................................................30 2.2.2 Single-Mode Condition .......................................................31 2.2.3 Characteristics of the Fundamental Mode ...........................32 2.3 Pulse-Propagation Equation ..........................................................34 2.3.1 Nonlinear Pulse Propagation ...............................................34 2.3.2 Higher-Order Nonlinear Effects ..........................................39 2.3.3 Raman Response Function and its Impact ...........................41 2.3.4 Extension to Multimode Fibers ...........................................45 2.4 Numerical Methods ......................................................................47 2.4.1 Split-Step Fourier Method ...................................................47 2.4.2 Finite-Difference Methods ...................................................51 Problems ...............................................................................................52 References ............................................................................................53 IX Contents CHAPTER 3 Group-Velocity Dispersion ...................................................57 3.1 Different Propagation Regimes .....................................................57 3.2 Dispersion-Induced Pulse Broadening .........................................59 3.2.1 Gaussian Pulses ...................................................................60 3.2.2 Chirped Gaussian Pulses ......................................................62 3.2.3 Hyperbolic-Secant Pulses ....................................................64 3.2.4 Super-Gaussian Pulses .........................................................65 3.2.5 Experimental Results ...........................................................67 3.3 Third-Order Dispersion ................................................................68 3.3.1 Evolution of Chirped Gaussian Pulses .................................69 3.3.2 Broadening Factor ................................................................71 3.3.3 Arbitrary-Shape Pulses ........................................................74 3.3.4 Ultrashort-Pulse Measurements ...........................................76 3.4 Dispersion Management ...............................................................78 3.4.1 GVD-Induced Limitations ...................................................78 3.4.2 Dispersion Compensation ....................................................80 3.4.3 Compensation of Third-Order Dispersion ...........................81 Problems ...............................................................................................83 References ............................................................................................84 CHAPTER 4 Self-Phase Modulation ..........................................................87 4.1 SPM-Induced Spectral Changes ...................................................87 4.1.1 Nonlinear Phase Shift ..........................................................88 4.1.2 Changes in Pulse Spectra .....................................................90 4.1.3 Effect of Pulse Shape and Initial Chirp ...............................93 4.1.4 Effect of Partial Coherence ..................................................96 4.2 Effect of Group-Velocity Dispersion ............................................98 4.2.1 Pulse Evolution ....................................................................98 4.2.2 Broadening Factor ..............................................................100 4.2.3 Optical Wave Breaking ......................................................102 4.2.4 Experimental Results .........................................................105 4.2.5 Effect of Third-Order Dispersion .......................................106 4.2.6 SPM Effects in Fiber Amplifiers ........................................108 4.3 Semianalytic Techniques ............................................................111 4.3.1 Moment Method ................................................................111 4.3.2 Variationa! Method .............................................................112 4.3.3 Specific Analytic Solutions ................................................114 4.4 Higher-Order Nonlinear Effects .................................................115 4.4.1 Self-Steepening ..................................................................116 4.4.2 Effect of GVD on Optical Shocks .....................................119 4.4.3 Intrapulse Raman Scattering ..............................................121 Contents xi Problems.............................................................................................124 References.......................................................................................... 125 CHAPTERS Optical Solitons.....................................................................129 5.1 Modulation Instability ................................................................129 5.1.1 Linear Stability Analysis ....................................................130 5.1.2 Gain Spectrum ...................................................................131 5.1.3 Experimental Results .........................................................133 5.1.4 UUrashort Pulse Generation ...............................................135 5.1.5 Impact on Lightwave Systems ...........................................137 5.2 Fiber Solitons..............................................................................139 5.2.1 Inverse Scattering Method .................................................140 5.2.2 Fundamental Soliton ..........................................................142 5.2.3 Second and Higher-Order Solitons....................................144 5.2.4 Experimental Confirmation ...............................................147 5.2.5 Soliton Stability .................................................................148 5.3 Other Types of Sol i tons ..............................................................151 5.3.1 Dark Solitons.....................................................................151 5.3.2 Bistable Solitons ................................................................154 5.3.3 Dispersion-Managed Solitons ............................................156 5.3.4 Optical Similaritons ...........................................................156 5.4 Perturbation of Solitons ..............................................................159 5.4.1 Perturbation Methods .........................................................159 5.4.2 Fiber Losses .......................................................................161 5.4.3 Soliton Amplification .........................................................163 5.4.4 Soliton Interaction .............................................................166 5.5 Higher-Order Effects ..................................................................170 5.5.1 Moment Equations for Pulse Parameters ...........................170 5.5.2 Third-Order Dispersion ......................................................172 5.5.3 Self-Steepening ..................................................................174 5.5.4 Intrapulse Raman Scattering ..............................................176 5.5.5 Propagation of Femtosecond Pulses ..................................181 Problems .............................................................................................183 References ..........................................................................................184 CHAPTER 6 Polarization Effects ..............................................................193 6.1 Nonlinear Birefringence .............................................................193 6.1.1 Origin of Nonlinear Birefringence .....................................194 6.1.2 Coupled-Mode Equations ..................................................196 6.1.3 Ellipticalły Biréfringent Fibers ..........................................197 xii Contents 6.2 Nonlinear Phase Shift .................................................................199 6.2.1 Nondispersive XPM ...........................................................199 6.2.2 Optical Kerr Effect .............................................................200 6.2.3 Pulse Shaping .....................................................................204 6.3 Evolution of Polarization State ...................................................206 6.3.1 Analytic Solution ...............................................................207 6.3.2 Poincaré-Sphere Representation ........................................209 6.3.3 Polarization Instability .......................................................212 6.3.4 Polarization Chaos .............................................................214 6.4 Vector Modulation Instability .....................................................215 6.4.1 Low-Birefringence Fibers ..................................................215 6.4.2 High-Birefringence Fibers .................................................218 6.4.3 Isotropie Fibers ..................................................................220 6.4.4 Experimental Results .........................................................221 6.5 Birefringence and Solitons.........................................................224 6.5.1 Low-Birefringence Fibers ..................................................225 6.5.2 High-Birefringence Fibers .................................................226 6.5.3 Soliton-Dragging Logic Gates ...........................................229 6.5.4 Vector Solitons...................................................................230 6.6 Random Birefringence ................................................................233 6.6.1 Polarization-Mode Dispersion ...........................................233 6.6.2 Vector Form of the NLS Equation .....................................234 6.6.3 Effects of PMD on Solitons...............................................236 Problems .............................................................................................239 References ..........................................................................................240 CHAPTER 7 Gross-Phase Modulation ....................................................245 7.1 XPM-Induced Nonlinear Coupling .............................................246 7.1.1 Nonlinear Refractive Index ................................................246 7.1.2 Coupled NLS Equations ....................................................247 7.2 XPM-Induced Modulation Instability .........................................248 7.2.1 Linear Stability Analysis ....................................................249 7.2.2 Experimental Results .........................................................251 7.3 XPM-Paired Solitons ..................................................................252 7.3.1 Bright-Dark Soliton Pair ...................................................252 7.3.2 Bright-Gray Soliton Pair ...................................................254 7.3.3 Periodic Solutions ..............................................................255 7.3.4 Multiple Coupled NLS Equations .....................................256 7.4 Spectral and Temporal Effects ....................................................258 7.4.1 Asymmetric Spectral Broadening ......................................259 7.4.2 Asymmetric Temporal Changes .........................................264 Contents xiii 7.4.3 Higher-Order Nonlinear Effects ........................................267 7.5 Applications of XPM ..................................................................268 7.5.1 XPM-Induced Pulse Compression .....................................268 7.5.2 XPM-Induced Optical Switching ......................................270 7.5.3 XPM-Induced Nonreciprocity ...........................................272 7.6 Polarization Effects .....................................................................274 7.6.1 Vector Theory of XPM .......................................................274 7.6.2 Polarization Evolution .......................................................275 7.6.3 Polarization-Dependent Spectral Broadening ....................278 7.6.4 Pulse Trapping and Compression ......................................280 7.6.5 XPM-Induced Wave Breaking ...........................................282 7.7 XPM Effects in Biréfringent Fibers ............................................284 7.7.1 Fibers with Low Birefringence ..........................................284 7.7.2 Fibers with High Birefringence .........................................287 Problems .............................................................................................289 References ..........................................................................................290 CHAPTER 8 Stimulated Raman Scattering ...........................................295 8.1 Basic Concepts ............................................................................295 8.1.1 Raman-Gain Spectrum .......................................................296 8. ] .2 Raman Threshold ...............................................................297 8.1.3 Coupled Amplitude Equations ...........................................300 8.1.4 Effect of Four-Wave Mixing ..............................................303 8.2 Quasi-Continuous SRS ...............................................................305 8.2.1 Single-Pass Raman Generation ..........................................305 8.2.2 Raman Fiber Lasers ...........................................................307 8.2.3 Raman Fiber Amplifiers .....................................................310 8.2.4 Raman-Induced Crosstalk ..................................................315 8.3 SRS with Short Pump Pulses ......................................................316 8.3.1 Pulse-Propagation Equations .............................................317 8.3.2 Nondispersive Case ............................................................318 8.3.3 Effects of GVD ..................................................................320 8.3.4 Raman-Induced Index Changes .........................................323 8.3.5 Experimental Results .........................................................325 8.3.6 Synchronously Pumped Raman Lasers .............................328 8.3.7 Short-Pulse Raman Amplification .....................................330 8.4 Soliton Effects .............................................................................331 8.4.1 Raman Solitons..................................................................331 8.4.2 Raman Soliton Lasers ........................................................335 8.4.3 Soliton-Effect Pulse Compression .....................................338 xiv Contents 8.5 Polarization Effects .....................................................................339 8.5.1 Vector Theory of Raman Amplification .............................339 8.5.2 PMD Effects on Raman Amplification ..............................343 Problems .............................................................................................346 References ..........................................................................................347 CHAPTER 9 Stimulated Brillouin Scattering ........................................353 9.1 Basic Concepts ............................................................................353 9.1.1 Physical Process .................................................................354 9.1.2 Briilouin-Gain Spectrum ...................................................354 9.2 Quasi-CWSBS ...........................................................................358 9.2.1 Brillouin Threshold ............................................................358 9.2.2 Polarization Effects ............................................................359 9.2.3 Techniques for Controlling the SBS Threshold .................360 9.2.4 Experimental Results .........................................................363 9.3 Brillouin-Fiber Amplifiers ..........................................................366 9.3.1 Gain Saturation ..................................................................366 9.3.2 Amplifier Design and Applications ....................................367 9.4 SBS Dynamics ............................................................................370 9.4.1 Coupled Amplitude Equations ...........................................370 9.4.2 SBS with Q-Switched Pulses .............................................372 9.4.3 SBS-Induced Index Changes .............................................376 9.4.4 Relaxation Oscillations ......................................................380 9.4.5 Modulation Instability and Chaos ......................................382 9.5 Brillouin-Fiber Lasers .................................................................384 9.5.1 CW Operation ....................................................................384 9.5.2 Pulsed Operation ................................................................388 Problems .............................................................................................391 References ..........................................................................................392 CHAPTER 10 Four-Wave Mixing .................................................................397 10.1 Origin of Four-Wave Mixing ......................................................397 10.2 Theory of Four-Wave Mixing .....................................................399 10.2.1 Coupled Amplitude Equations .........................................400 10.2.2 Approximate Solution ......................................................401 10.2.3 Effect of Phase Matching .................................................402 10.2.4 Ultrafast Four-Wave Mixing ............................................404 10.3 Phase-Matching Techniques .......................................................405 10.3.1 Physical Mechanisms .......................................................405 Contents xv 10.3.2 Phase Matching in Multimode Fibers ..............................406 10.3.3 Phase Matching in Single-Mode Fibers ...........................409 10.3.4 Phase Matching in Biréfringent Fibers............................ 414 10.4 Parametric Amplification ............................................................417 10.4.1 Review of Early Work ......................................................417 10.4.2 Gain Spectrum and Its Bandwidth ...................................418 10.4.3 Single-Pump Configuration .............................................421 10.4.4 Dual-Pump Configuration ................................................425 10.4.5 Effects of Pump Depletion ...............................................430 10-5 Polarization Effects .....................................................................431 10.5.1 Vector Theory of Four-Wave Mixing ...............................432 10.5.2 Polarization Dependence of Parametric Gain ..................434 10.5.3 Linearly and Circularly Polarized Pumps ........................437 10.5.4 Effect of Residual Fiber Birefringence ............................439 10.6 Applications of Four-Wave Mixing ............................................443 10.6.1 Parametric Oscillators ......................................................443 10.6.2 Ultrafast Signal Processing ..............................................445 10.6.3 Quantum Correlation and Noise Squeezing ....................447 10.6.4 Phase-Sensitive Amplification .........................................449 Problems .............................................................................................451 References ..........................................................................................452 CHAPTER 11 Highly Nonlinear Fibers ......................................................457 11.1 Nonlinear Parameter ...................................................................457 11.1.1 Units and Values of m ......................................................458 11.1.2 SPM-Based Techniques ...................................................459 11.1.3 XPM-Based Technique ....................................................462 11.1.4 FWM-Based Technique ...................................................463 11.1.5 Variations in пг Values .....................................................464 11.2 Fibers with Silica Cladding ........................................................467 11.3 Tapered Fibers with Air Cladding ...............................................469 11.4 Microstructured Fibers ................................................................474 11.4.1 Design and Fabrication ....................................................474 11.4.2 Modal and Dispersive Properties .....................................476 11.4.3 Hollow-Core Photonic Crystal Fibers ..............................478 11.4.4 Bragg Fibers .....................................................................480 11.5 Non-Silica Fibers ........................................................................481 11.5.1 Lead-Silicate Fibers .........................................................482 1 1.5.2 Chalcogenide Fibers ........................................................485 11.5.3 Bismuth-Oxide Fibers ......................................................486 xvi Contents 11.6 Pulse Propagation in Narrow-Core Fibers ..................................487 11.6.1 Vectorial Theory ...............................................................487 11.6.2 Frequency-Dependent Mode Profiles ..............................489 Problems .............................................................................................491 References ...........................................................................·..............492 CHAPTER 12 Novel Nonlinear Phenomena ............................................497 12.1 Soliton Fission and Dispersive Waves ........................................497 12. LI Fission of Second- and Higher-Order Solitons................498 12.1.2 Generation of Dispersive Waves ......................................501 12.2 Intrapulsc Raman Scattering .......................................................506 12.2.1 Enhanced R1FS Through Soliton Fission ........................506 12.2.2 Cross-correlation Technique ............................................510 12.2.3 Wavelength Tuning through RIFS ...................................512 12.2.4 Effects of Birefringence ...................................................514 12.2.5 Suppression of Raman-Induced Frequency Shifts ...........516 12.2.6 Soliton Dynamics Near a Zero-Dispersion Wavelength. .520 12.2.7 Multipeak Raman Solitons..............................................523 12.3 Four-Wave Mixing ......................................................................526 12.3.1 Role of Fourth-Order Dispersion .....................................526 12.3.2 Role of Fiber Birefringence .............................................527 12.3.3 Parametric Amplifiers and Wavelength Converters .........531 12.3.4 Tunable Fiber-Optic Parametric Oscillators ....................532 12.4 Second-Harmonic Generation ....................................................534 12.4.1 Physical Mechanisms .......................................................534 12.4.2 Thermal Poling and Quasi-Phase Matching ....................536 12.4.3 SHG Theory .....................................................................539 12.5 Third-Harmonic Generation .......................................................541 12.5.1 THG in Highly Nonlinear Fibers .....................................541 12.5.2 Effects of Group-Velocity Mismatch ...............................543 12.5.3 Effects of Fiber Birefringence .........................................545 Problems .............................................................................................546 References ..........................................................................................547 CHAPTER 13 Supercontinuum Generation ..............................................553 13.1 Pumping with Picosecond Pulses ...............................................553 13.1.1 Nonlinear Mechanisms ....................................................554 13.1.2 Experimental Progress After 2000...................................556 13.2 Pumping with Femtosecond Pulses ............................................559 13.2.1 Microstructured Silica Fibers ..........................................559 13.2.2 Microstructured Nonsilica Fibers ....................................563 Contents xvii 13.3 Temporal and Spectral Evolutions ..............................................566 13.3.1 Numerical Modeling of Supercontinuum ........................566 13.3.2 Role of Cross-Phase Modulation .....................................570 13.3.3 XPM-Induced Trapping ...................................................573 13.3.4 Role of Four-Wave Mixing ..............................................577 13.4 CW or Quasi-CW Pumping ........................................................579 13.4.1 Nonlinear Mechanisms ....................................................579 13.4.2 Experimental Progress .....................................................582 13.5 Polarization Effects .....................................................................585 13.5.1 Biréfringent Microstructured Fibers ................................586 13.5.2 Nearly Isotropie Fibers ....................................................587 13.5.3 Nonlinear Polarization Rotation in Isotropie Fibers ........589 13.6 Coherence Properties ..................................................................590 13.6.1 Spectral-Domain Degree of Coherence ...........................591 13.6.2 Techniques for Improving Coherence ..............................594 13.6.3 Spectral Incoherent Solitons............................................596 13.7 Optical Rogue Waves ..................................................................598 1 3.7.1 L-Shaped Statistics of Pulse-to-Pulse Fluctuations .........599 13.7.2 Techniques for Controlling Rogue-Wave Statistics .........600 13.7.3 Modulation Instability Revisited .....................................602 Problems .............................................................................................606 References ..........................................................................................607 Appendix A System of Units ...................................................................... біз Appendix В Numerical Code for the NLS Equation ...........................615 Appendix С List of Acronyms ....................................................................619 Index .....................................................................................................................621 ÍNGINEERING/ OPTICS Nonlinear Fiber Fifth Edition Govind Agrawal With the advent of highlv nonlinear fibers, the nonlinear effects in such fibers are increasingly being used for practical applications. This classic work has been fully updated to review the properties of several kinds of highlv nonlinear fibers with emphasis on the microstructurecl and photonic-crystal fibers. This book also focuses on the nonlinear applications of such fibers. Topics covered include Raman-induced frequency shifts, soliton fission, and recent findings on optical rogue waves. • Updated coverage or intrapulse Raman scattering, soliton fission, four-wave mixing, and harmonic generation • Includes a new chapter exclusively devoted to supercontinuum generation in optical fibers • Extensive changes to reflect that a full vectorial treatment of light propagation is required in fibers with a relatively narrow core • Emphasis on refractive-index changes that accompany the Raman or Brillouin gain and inclusion of the recent work in which fibers are used to provide tunable delays Govind Agrawal holds positions ot Professor of Optics and Professor of Physics at the University of Rochester, USA. His previous appointments were at Ecole Polytechnique, France, City University ot New York, and AT&T Bell Laboratories. Professor Agrawal is a Fellow of both the Optical society of America and IEEE. He served as an associate Editor of JOSA В from 1993 to 1998 and of Optics Express from 2001 to 2004. He is currently- serving on the Editorial board of the OSA journal Advances in Optics and Photonics. Prof. Agrawa! chaired the Publication Council of Optical society of America and was also a member of its Board of Directors during 2009 and 2010. ISBN 978-0-12-397023-7 ELSEVIER ACADEMIC PRESS An imprint oř Elsevier store.elsevier.com
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illustrated	Illustrated
indexdate	2024-07-10T00:20:59Z
institution	BVB
isbn	9780123970237
language	English
oai_aleph_id	oai:aleph.bib-bvb.de:BVB01-025149817
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physical	XX, 629 S. Ill., graph. Darst.
publishDate	2013
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publisher	Elsevier, Acad. Press
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spelling	Agrawal, Govind P. 1951- Verfasser (DE-588)133674525 aut Nonlinear fiber optics Govind P. Agrawal 5. ed. Amsterdam [ u.a.] Elsevier, Acad. Press 2013 XX, 629 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Literaturangaben Fiber optics Nonlinear optics Nichtlineare Optik (DE-588)4042096-6 gnd rswk-swf Faseroptik (DE-588)4016498-6 gnd rswk-swf Nichtlineare Brechung (DE-588)4221353-8 gnd rswk-swf Nichtlineare Optik (DE-588)4042096-6 s Faseroptik (DE-588)4016498-6 s DE-604 Nichtlineare Brechung (DE-588)4221353-8 s 1\p DE-604 Digitalisierung UB Bayreuth - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025149817&sequence=000003&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Digitalisierung UB Bayreuth - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025149817&sequence=000004&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Klappentext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk
spellingShingle	Agrawal, Govind P. 1951- Nonlinear fiber optics Fiber optics Nonlinear optics Nichtlineare Optik (DE-588)4042096-6 gnd Faseroptik (DE-588)4016498-6 gnd Nichtlineare Brechung (DE-588)4221353-8 gnd
subject_GND	(DE-588)4042096-6 (DE-588)4016498-6 (DE-588)4221353-8
title	Nonlinear fiber optics
title_auth	Nonlinear fiber optics
title_exact_search	Nonlinear fiber optics
title_full	Nonlinear fiber optics Govind P. Agrawal
title_fullStr	Nonlinear fiber optics Govind P. Agrawal
title_full_unstemmed	Nonlinear fiber optics Govind P. Agrawal
title_short	Nonlinear fiber optics
title_sort	nonlinear fiber optics
topic	Fiber optics Nonlinear optics Nichtlineare Optik (DE-588)4042096-6 gnd Faseroptik (DE-588)4016498-6 gnd Nichtlineare Brechung (DE-588)4221353-8 gnd
topic_facet	Fiber optics Nonlinear optics Nichtlineare Optik Faseroptik Nichtlineare Brechung
url	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025149817&sequence=000003&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025149817&sequence=000004&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA
work_keys_str_mv	AT agrawalgovindp nonlinearfiberoptics

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