Nonlinear Fiber Optics - 4 ed. Agrawal

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References 449 wavelength range of 0.4 to 2 μm. Also plot second and third-order dispersion parameters, β 2 and β 3 , over this range and find the zero-dispersion wavelength of this fiber. 11.8 Repeat the preceding problem for tapered fibers with diameters
450 Chapter 11. Highly Nonlinear Fibers [22] D. Monzón-Hernández, A. N. Starodumov, Yu. O. Barmenkov, I. Torres-Gómez, and F. Mendoza-Santoyo, Opt. Lett. 23, 1274 (1998). [23] C. Vinegoni, M. Wegumuller, and N. Gisin, Electron. Lett. 36, 886 (2000). [24] K. Li, Z. Xiong, G. D. Peng, and P. L. Chu, Opt. Commun. 136, 223 (1997). [25] T. Kato, Y. Suetsugu, and M. Nishimura, Opt. Lett. 20, 2279 (1995). [26] A. Wada, S. Okude, T. Sakai, and R. Yamauchi, Electron. Commun. Jpn., Part I 79, 12 (1996). [27] K. Nakajima and M. Ohashi, IEEE Photon. Technol. Lett. 14, 492 (2002). [28] N. L. Boling, A. J. Glass, and A. Owyoung, IEEE J. Quantum Electron. 14, 601 (1978). [29] S. V. Chernikov and J. R. Taylor, Opt. Lett. 21, 1559 (1996). [30] F. A. Oguama, H. Garcia, and A. M. Johnson, J. Opt. Soc. Am. B 22, 426 (2005). [31] A. Martínez-Rios, A. N. Starodumov, Y. O. Barmenkov, V. N. Filippov, and I. Torres- Gomez, J. Opt. Soc. Am. B 18, 794 (2001). [32] E. L. Buckland and R. W. Boyd, Opt. Lett. 21, 1117 (1996). [33] E. L. Buckland and R. W. Boyd, Opt. Lett. 22, 676 (1997). [34] A. Fellegara, A. Melloni, and M. Martinelli, Opt. Lett. 22, 1615 (1997). [35] A. Melloni, M. Martinelli, and A. Fellegara, Fiber Integ. Opt. 18, 1 (1999). [36] C. Mazzali, D. F. Grosz, and H. L. Fragnito, IEEE Photon. Technol. Lett. 11, 251 (1999). [37] A. Fellegara, A. Melloni, and P. Sacchetto, Opt. Commun. 162, 333 (1999). [38] S. Smolorz, F. Wise, and N. F. Borrelli, Opt. Lett. 24, 1103 (1999). [39] T. Okuno, M. Onishi, T. Kashiwada, S. Ishikawa, and M. Nishimura, IEEE J. Sel. Topics Quantum Electron. 5, 1385 (1999). [40] T. Morioka, S. Kawanishi, K. Mori, and M. Saruwatari, Electron. Lett. 30, 790 (1994). [41] T. Okuno, M. Onishi, and M. Nishimura, IEEE Photon. Technol. Lett. 34, 72 (1998). [42] P. B. Hansen, G. Jacobovitz-Veselka. L. Gruner-Nielsen, and A. J. Stentz, Electron. Lett. 34, 1136 (1998). [43] Y. Emori, Y. Akasaka, and S. Namiki, Electron. Lett. 34, 2145 (1998). [44] K. Mori, H. Takara, and S. Kawanishi, J. Opt. Soc. Am. B 18, 1780 (2001). [45] T. Okuno, M. Hirano, T. Kato, M. Shigematsu, and M. Onishi, Electron. Lett. 39, 972 (2003). [46] J. W. Nicholson, A. K. Abeeluck, C. Headley, M. F. Yan, and C. G. Jørgensen, Appl. Phys. B 77, 211 (2003). [47] K.-W. Chung and S. Yin, Microwave Opt. Tech. Lett. 40, 153 (2004). [48] A. Zheltikov, J. Opt. Soc. Am. B 22, 1100 (2005). [49] A. W. Snyder and J. D. Love, Optical Waveguide Theory (Kluwer Academic, Boston, 1983). [50] P. Dumais, F. Gonthier, S. Lacroix, J. Bures, A. Villeneuve, P. G. J. Wigley, and G. I. Stegeman, Opt. Lett. 18, 1996 (1993). [51] T. A. Birks, W. J. Wadsworth, and P. St. J. Russell, Opt. Lett. 25, 1415 (2000). [52] J. M. Harbold, F. O. Ilday, F. W. Wise, T. A. Birks, W. J. Wadsworth, and Z. Chen, Opt. Lett. 27, 1558, (2000). [53] J. Teipel, K. Franke, D. Trke, F. Warken, D. Meiser, M. Leuschner, and H. Giessen, Appl. Phys. B 77, 245 (2003). [54] F. Lu and W. H. Knox, Opt. Express 12, 347 (2004). [55] M. A. Foster and A. L. Gaeta, Opt. Express 12, 3137 (2004). [56] D. C. Johnson, B. S. Kawasaki, and K. O. Hill, Fiber Integ. Opt. 3, 263 (1980).
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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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Page 458 and 459: Chapter 12 Novel Nonlinear Phenomen
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12.5. Harmonic Generation 499 Figur
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12.5. Harmonic Generation 501 analy
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12.5. Harmonic Generation 503 Figur
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12.5. Harmonic Generation 505 The p
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References 507 12.6 Derive an expre
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References 509 [45] J. E. Sharping,
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References 511 [111] J. Y. Y. Leong
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References 513 [180] A. L. Calvez,
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Appendix A 515 converted into decib
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Appendix B 517 % This code solves t
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Appendix C List of Acronyms Each sc
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Index acoustic response function, 4
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Index 523 distributed fiber sensors
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Index 525 four-photon, 412 gain-swi
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Index 527 Raman amplification with,
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Index 529 spectral hole burning, 36
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