Nonlinear Fiber Optics - 4 ed. Agrawal

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References 511 [111] J. Y. Y. Leong, P. Petropoulos, J. H. V. Price, H. Ebendorff-Heidepriem, S. Asimakis, R. C. Moore, K. E. Frampton, V. Finazzi, X. Feng, T. M. Monro, and D. J. Richardson, J. Lightwave Technol. 24, 183 (2006). [112] F. G. Omenetto, N. A. Wolchover, M. R. Wehner, M. R. Ross, A. Efimov, A. J. Taylor, V. V. R. K. Kumar, A. K. George, J. C. Knight, N. Joly, and P. St. J. Russell, Opt. Express 14, 4928 (2006). [113] B. Kibler, J. M. Dudley, and S. Coen, Appl. Phys. B 81, 337 (2005). [114] N. Nishizawa and T. Goto, Opt. Lett. 27, 152 (2002); Opt. Express 10, 1151 (2002). [115] J. Dudley, X. Gu, L. Xu, M. Kimmel, E. Zeek, P. O’Shea, R. Trebino, S. Coen, and R. Windeler, Opt. Express 10, 1215 (2002). [116] T. Hori, N. Nishizawa, T. Goto, and M. Yoshida, J. Opt. Soc. Am. B 20, 2410 (2003). [117] T. Hori, N. Nishizawa, T. Goto, and M. Yoshida, J. Opt. Soc. Am. B 21, 1969 (2004). [118] L. Tartara, I. Cristiani, and V. Degiorgio, Appl. Phys. B 77, 307 (2003). [119] G. Genty, M. Lehtonen, and H. Ludvigsen, Opt. Express 12, 4614 (2004). [120] M. H. Frosz, P. Falk, and O. Bang, Opt. Express 13, 6181 (2005). [121] P. A. Champert, V. Couderc, P. Leproux, S. Fvrier, V. Tombelaine, L. Labont, P. Roy, and C. Froehly, Opt. Express 12, 4366 (2004). [122] S. O. Konorov, A. A. Ivanov, D. A. Akimov, M. V. Alfimov, A. A. Podshivalov, Y. N. Kondratev, V. S. Shevandin, K. V. Dukelskii, A. V. Khokhlov, M. Scalora, and A. M. Zheltikov, New J. Phys. 6, 182 (2004). [123] G. Genty, M. Lehtonen, and H. Ludvigsen, Opt. Lett. 30, 756 (2005). [124] C. Cheng, X. Wang, Z. Fang, and B. Shen, Appl. Phys. B 80, 291 (2005). [125] T. Schreiber, T. Andersen, D. Schimpf, J. Limpert, and A. Tünnermann, Opt. Express 13, 9556 (2005). [126] P. A. Champert, S. V. Popov, and J. R. Taylor, Opt. Lett. 27, 122 (2002). [127] A. Apolonski, B. Povazay, A. Unterhuber, W. Drexler, W. J. Wadsworth, J. C. Knight, and P. St. J. Russell, J. Opt. Soc. Am. B 19, 2165 (2002). [128] M. Lehtonen, G. Genty, H. Ludvigsen, and M. Kaivola, Appl. Phys. Lett. 82, 2197 (2003). [129] A. Srivastava and D. Goswami, Appl. Phys. B 77, 325 (2003). [130] A. Proulx, J.-M. Ménard, N. Hô, J. M. Laniel, R. Vallée, and C. Paré, Opt. Express 11 3338 (2003). [131] Z. M. Zhu and T. G. Brown, J. Opt. Soc. Am. B 21, 249 (2004); Opt. Express 12, 791 (2004). [132] F. Lu, Q. Lin, W. H. Knox, and G. P. Agrawal, Phys. Rev. Lett. 93, 183901 (2004). [133] M. Tianprateep, J. Tada, and F. Kannari, Opt. Rev. 12, 179 (2005). [134] M. Nakazawa, K. Tamura, H. Kubota, and E. Yoshida, Opt. Fiber Technol. 4, 215 (1998). [135] K. R. Tamura, H. Kubota, and M. Nakazawa, IEEE J. Quantum Electron. 36, 779 (2000). [136] J. M. Dudley and S. Coen, Opt. Lett. 27, 1180 (2002). [137] K. L. Corwin, N. R. Newbury, J. M. Dudley, S. Coen, S. A. Diddams, K. Weber, and R. S. Windeler, Phys. Rev. Lett. 90, 113904 (2003). [138] N. R. Newbury, B. R. Washburn, and K. L. Corwin, R. S. Windeler, Opt. Lett. 28 944 (2003). [139] X. Gu, M. Kimmel, A. P. Shreenath, R. Trebino, J. M. Dudley, S. Coen, and R. S. Windeler, Opt. Express 11 2697 (2003). [140] F. Lu and W. H. Knox, Opt. Express 12, 347 (2004). [141] J. W. Nicholson and M. F. Yan, Opt. Express 12, 679 (2004). [142] B. R. Washburn and N. R. Newbury, Opt. Express 12, 2166 (2004).
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Preface Since the publication of th
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Chapter 1 Introduction This introdu
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1.2. Fiber Characteristics 3 Figure
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1.2. Fiber Characteristics 7 1.49 1
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1.2. Fiber Characteristics 11 faste
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1.3. Fiber Nonlinearities 13 Figure
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1.3. Fiber Nonlinearities 15 Sectio
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1.3. Fiber Nonlinearities 17 1.3.3
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1.4. Overview 19 briefly. The last
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References 21 1.11 Equation (1.3.2)
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References 23 [63] M. Ibanescu, Y.
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Chapter 2 Pulse Propagation in Fibe
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2.2. Fiber Modes 27 where Ẽ(r,ω)
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2.2. Fiber Modes 29 across the core
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2.3. Pulse-Propagation Equation 31
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2.4. Numerical Methods 41 Equation
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2.4. Numerical Methods 43 Figure 2.
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2.4. Numerical Methods 45 the basic
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References 47 2.5 Derive an express
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References 49 [44] V. I. Karpman an
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Chapter 3 Group-Velocity Dispersion
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3.2. Dispersion-Induced Pulse Broad
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3.3. Third-Order Dispersion 63 This
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3.3. Third-Order Dispersion 65 Figu
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3.3. Third-Order Dispersion 67 6 5
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3.3. Third-Order Dispersion 69 Noti
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3.4. Dispersion Management 71 Figur
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3.4. Dispersion Management 73 10 3
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3.4. Dispersion Management 75 Figur
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References 77 3.10 An optical commu
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Chapter 4 Self-Phase Modulation An
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4.1. SPM-Induced Spectral Changes 8
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4.2. Effect of Group-Velocity Dispe
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4.3. Semianalytic Techniques 103 In
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4.3. Semianalytic Techniques 105 (1
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4.4. Higher-Order Nonlinear Effects
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Problems 115 4.2 Plot the spectrum
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References 117 [40] D. Marcuse, J.
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References 119 [109] J. Santhanam a
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5.1. Modulation Instability 121 of
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5.1. Modulation Instability 123 2 L
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5.1. Modulation Instability 125 Fig
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5.1. Modulation Instability 127 Fig
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5.2. Fiber Solitons 129 Figure 5.5:
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5.2. Fiber Solitons 131 and write i
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5.2. Fiber Solitons 133 Physically,
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5.3. Other Types of Solitons 141 1
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5.3. Other Types of Solitons 143 pr
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5.3. Other Types of Solitons 145 Th
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5.4. Perturbation of Solitons 147 w
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5.4. Perturbation of Solitons 149 w
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5.4. Perturbation of Solitons 151 t
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5.4. Perturbation of Solitons 153 b
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5.4. Perturbation of Solitons 155 F
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5.5. Higher-Order Effects 157 where
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5.5. Higher-Order Effects 159 Figur
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5.5. Higher-Order Effects 161 1 N =
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5.5. Higher-Order Effects 163 Integ
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5.5. Higher-Order Effects 165 Figur
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5.5. Higher-Order Effects 167 that
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Problems 169 Problems 5.1 Solve Eq.
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References 171 [27] E. Brainis, D.
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References 173 [93] L. F. Mollenaue
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References 175 [165] V. V. Afanasje
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Chapter 6 Polarization Effects As d
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6.1. Nonlinear Birefringence 179 wh
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6.1. Nonlinear Birefringence 181 re
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6.2. Nonlinear Phase Shift 183 dA y
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6.2. Nonlinear Phase Shift 185 wher
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6.2. Nonlinear Phase Shift 187 side
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6.3. Evolution of Polarization Stat
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6.4. Vector Modulation Instability
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6.5. Birefringence and Solitons 207
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6.6. Random Birefringence 213 where
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6.6. Random Birefringence 215 PMD,
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6.6. Random Birefringence 217 As in
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6.6. Random Birefringence 219 Figur
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References 221 6.9 Derive the dispe
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References 223 [63] P. Kockaert, M.
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References 225 [140] A. El Amari, N
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7.1. XPM-Induced Nonlinear Coupling
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7.2. XPM-Induced Modulation Instabi
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7.2. XPM-Induced Modulation Instabi
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7.3. XPM-Paired Solitons 233 This t
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7.3. XPM-Paired Solitons 235 The co
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7.3. XPM-Paired Solitons 237 It is
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7.4. Spectral and Temporal Effects
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7.5. Applications of XPM 249 Probe
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7.5. Applications of XPM 251 by hig
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7.5. Applications of XPM 253 Figure
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7.6. Polarization Effects 255 where
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7.6. Polarization Effects 257 Figur
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7.6. Polarization Effects 259 1 0.8
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7.6. Polarization Effects 261 4 Pum
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7.6. Polarization Effects 263 Figur
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7.7. XPM Effects in Birefringent Fi
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7.7. XPM Effects in Birefringent Fi
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Problems 269 7.2 Derive the dispers
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References 271 [33] M. Lisak, A. H
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References 273 [105] B. V. Vu, A. S
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8.1. Basic Concepts 275 Figure 8.1:
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8.1. Basic Concepts 277 set of two
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8.1. Basic Concepts 279 10 mW. Howe
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8.1. Basic Concepts 281 0.5 Raman R
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8.2. Quasi-Continuous SRS 283 four
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8.2. Quasi-Continuous SRS 285 Figur
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8.2. Quasi-Continuous SRS 291 wavel
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8.2. Quasi-Continuous SRS 293 1 0.8
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8.3. SRS with Short Pump Pulses 295
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8.4. Soliton Effects 307 Figure 8.1
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8.4. Soliton Effects 313 ton laser
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8.5. Polarization Effects 315 maxim
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8.5. Polarization Effects 317 where
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8.5. Polarization Effects 319 and s
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Problems 321 Figure 8.25: (a) Avera
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References 323 [4] W. Kaiser and M
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References 325 [75] M. Nakazawa, T.
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References 327 [144] V. I. Kruglov,
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Chapter 9 Stimulated Brillouin Scat
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9.1. Basic Concepts 331 Figure 9.1:
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9.2. Quasi-CW SBS 333 [20]. A part
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9.2. Quasi-CW SBS 335 (see Figure 8
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9.2. Quasi-CW SBS 337 pseudorandom
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9.2. Quasi-CW SBS 339 Figure 9.4: S
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9.3. Brillouin Fiber Amplifiers 341
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9.3. Brillouin Fiber Amplifiers 343
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9.4. SBS Dynamics 345 9.4.1 Coupled
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9.4. SBS Dynamics 347 Pump Power (k
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9.4. SBS Dynamics 349 Figure 9.11:
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9.4. SBS Dynamics 351 Δn SBS . If
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9.5. Brillouin Fiber Lasers 357 Fig
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9.5. Brillouin Fiber Lasers 359 Fig
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9.5. Brillouin Fiber Lasers 361 rin
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References 363 9.4 Estimate SBS thr
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References 365 [47] Y.-X. Fan, F.-Y
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References 367 [119] R. G. Harrison
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10.1. Origin of Four-Wave Mixing 36
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10.2. Theory of Four-Wave Mixing 37
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10.3. Phase-Matching Techniques 377
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10.4. Parametric Amplification 387
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10.5. Polarization Effects 401 Bril
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10.5. Polarization Effects 403 foll
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10.5. Polarization Effects 405 Jone
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10.5. Polarization Effects 407 to s
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10.5. Polarization Effects 409 Figu
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10.6. Applications of Four-Wave Mix
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Problems 417 Figure 10.24: Output s
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References 419 [5] R. W. Boyd, Nonl
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References 421 [79] A. Durécu-Legr
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References 423 [140] M. D. Levenson
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11.1. Nonlinear Parameter 425 11.1.
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11.1. Nonlinear Parameter 427 Figur
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11.1. Nonlinear Parameter 433 when
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11.2. Fibers with Silica Cladding 4
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11.3. Tapered Fibers with Air Cladd
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11.3. Tapered Fibers with Air Cladd
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11.4. Microstructured Fibers 441 he
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11.4. Microstructured Fibers 443 Ef
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11.5. Non-Silica Fibers 445 0.05 0.
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11.5. Non-Silica Fibers 447 Figure
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References 449 wavelength range of
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References 451 [57] H. Yokota, E. S
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Chapter 12 Novel Nonlinear Phenomen
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12.1. Intrapulse Raman Scattering 4
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Page 512 and 513: References 507 12.6 Derive an expre
Page 514 and 515: References 509 [45] J. E. Sharping,
Page 518 and 519: References 513 [180] A. L. Calvez,
Page 520 and 521: Appendix A 515 converted into decib
Page 522 and 523: Appendix B 517 % This code solves t
Page 524 and 525: Appendix C List of Acronyms Each sc
Page 526 and 527: Index acoustic response function, 4
Page 528 and 529: Index 523 distributed fiber sensors
Page 530 and 531: Index 525 four-photon, 412 gain-swi
Page 532 and 533: Index 527 Raman amplification with,
Page 534: Index 529 spectral hole burning, 36
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