Solitons in Nonlocal Media

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REFERENCES [93] G. Assanto and G. Stegeman, “Simple physics of quadratic spatial solitons,” Opt. Express, vol. 10, no. 9, pp. 388–396, 2002. [Online]. Available: http://www.opticsexpress.org/abstract.cfm?URI=oe-10-9-388 72 [94] M. Mitchell, M. Segev, and D. N. Christodoulides, “Observation of multihump multimode solitons,” Phys. Rev. Lett., vol. 80, no. 21, pp. 4657–4660, May 1998. 72 [95] D. N. Christodoulides, S. R. Singh, M. I. Carvalho, and M. Segev, “Incoherently coupled soliton pairs in biased photorefractive crystals,” Applied Physics Letters, vol. 68, no. 13, pp. 1763–1765, 1996. [Online]. Available: http://link.aip.org/link/?APL/68/1763/1 72 [96] W. Krolikowski, E. A. Ostrovskaya, C. Weilnau, M. Geisser, G. McCarthy, Y. S. Kivshar, C. Denz, and B. Luther-Davies, “Observation of dipole-mode vector solitons,” Phys. Rev. Lett., vol. 85, p. 1424, 2000. 72 [97] T. Carmon, C. Anastassiou, S. Lan, D. Kip, Z. H. Musslimani, M. Segev, and D. Christodoulides, “Observation of two-dimensional multimode solitons,” Opt. Lett., vol. 25, p. 1113, 2000. 72 [98] A. Alberucci, M. Peccianti, G. Assanto, A. Dyadyusha, and M. Kaczmarek, “Two- color vector solitons in nonlocal media,” Phys. Rev. Lett., vol. 97, p. 153903, 2006. 72 [99] N. N. Akhmediev and V. V. Afanasjev, “Novel arbitrary-amplitude soliton solutions of the cubic-quintic complex ginzburg-landau equation,” Phys. Rev. Lett., vol. 75, p. 2320, 1995. 88 [100] N. N. Akhmediev, V. V. Afanasjev, and J. M. Soto-Crespo, “Singularities, special soliton solutions of the cubic-quintic ginzburg-landau equation,” Phys. Rev. E, vol. 53, pp. 1190–1198, 1996. 88 [101] A. M. Dunlop, E. M. Wright, and W. J. Firth, “Spatial soliton laser,” Opt. Commun., vol. 147, p. 393, 1998. 88 130
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Solitons in Nonlocal Media Alessand
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To everybody who has supported me a
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Contents List of Figures vii 1 Intr
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CONTENTS 4.3.3 Soliton Trajectory .
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List of Figures 1.1 (a) In the isot
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LIST OF FIGURES 2.12 Numerical resu
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LIST OF FIGURES 3.7 As in fig. 3.6,
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LIST OF FIGURES 3.14 (a) 3D sketch
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LIST OF FIGURES 4.7 Left column: ac
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LIST OF FIGURES C.1 Plot of V υ m(
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1.2 Optical Solitons cialized liter
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1.3 Nonlocality width 1 . Nonlocali
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1.3 Nonlocality ∆n(x) = I(x ′
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(a) Isotropic phase (b) Nematic pha
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1.4 Liquid Crystals interaction ene
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(a) E = 0 (b) E = 0 1.4 Liquid Crys
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1.5 Spatial Solitons in Nematic Liq
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2.2 Set-Up Figure 2.1: Sketch of th
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Φ = ⎛ ⎜ ⎝ Ex Hy Ey −Hx ⎞
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(a) Reorientation angle versus x
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2.4 Soliton Observation to the Free
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2.5 Theory of Nonlinear Optical Pro
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shape Ee ∝ exp − (x−a/2)2 +t
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3 Nonlocality and Soliton Propagati
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3.1 Definition 2 √ ln2w x/t; more
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3.2 Role of the Boundary Conditions
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3.3 Soliton Trajectory 3.3.1 Genera
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x = 〈x〉, 3.3 Soliton Trajectory
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3.3.3 Highly Nonlocal Case 3.4 Soli
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3.4 Soliton Oscillations in a Finit
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(a) Equivalent potential Veq(〈ξ
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W NL 0 = ǫak0 2ne cos δ cos[2(θ0
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3.4 Soliton Oscillations in a Finit
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4 Vector Solitons in Nematic Liquid
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4.2 Cell Geometry and Basic Equatio
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4.3 Highly Nonlocal Limit about 2mW
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4.3 Highly Nonlocal Limit (a) Initi
Page 100 and 101: 4.3 Highly Nonlocal Limit Figure 4.
Page 102 and 103: (a) Oscillation amplitude for beam
Page 104 and 105: 4.4 Breathing as explained in secti
Page 106 and 107: 4.4 Breathing experimental yz evolu
Page 108 and 109: 5 Dissipative Self-Confined Optical
Page 110 and 111: 5.2 Light Self-Confinement in Dye D
Page 112 and 113: (a) (b) 5.4 Role of Gain Saturation
Page 114 and 115: γ [m −1 ] w t [µm] 80 40 60 40
Page 116 and 117: 5.4 Role of Gain Saturation having
Page 118 and 119: 5.6 Co-Propagating Pump form γ =
Page 120 and 121: (a) λ = 633nm (b) λ = 532nm 5.6 C
Page 122 and 123: Appendix A Optical Properties of NL
Page 124 and 125: A.2 Derivation of the Electromagnet
Page 126 and 127: A.2 Derivation of the Electromagnet
Page 128 and 129: Appendix B Numerical Algorithm B.1
Page 130 and 131: B.1 Simulations of Nonlinear Optica
Page 132 and 133: Appendix C Analysis of the Index Pe
Page 134 and 135: Eq. (C.7) can be expressed as V υ
Page 136 and 137: C.4 Computation of V υ m C.4 Compu
Page 138 and 139: Appendix D List of Publications D.1
Page 140 and 141: D.2 Conference Papers M. Peccianti,
Page 142 and 143: REFERENCES [10] Y. Nakamura and I.
Page 144 and 145: REFERENCES [33] N. I. Nikolov, D. N
Page 146 and 147: REFERENCES [52] ——, “Spatial
Page 148 and 149: REFERENCES [72] M. A. Karpierz, “
Page 152: REFERENCES [111] E. Rosencher and B
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