- Page 1: Solitons in Nonlocal Media Alessand
- Page 4 and 5: To everybody who has supported me a
- Page 6 and 7: Contents List of Figures vii 1 Intr
- Page 10 and 11: List of Figures 1.1 (a) In the isot
- Page 12 and 13: LIST OF FIGURES 2.12 Numerical resu
- Page 14 and 15: LIST OF FIGURES 3.7 As in fig. 3.6,
- Page 16 and 17: LIST OF FIGURES 3.14 (a) 3D sketch
- Page 18 and 19: LIST OF FIGURES 4.7 Left column: ac
- Page 20 and 21: LIST OF FIGURES C.1 Plot of V υ m(
- Page 22 and 23: 1.2 Optical Solitons cialized liter
- Page 24 and 25: 1.3 Nonlocality width 1 . Nonlocali
- Page 26 and 27: 1.3 Nonlocality ∆n(x) = I(x ′
- Page 28 and 29: (a) Isotropic phase (b) Nematic pha
- Page 30 and 31: 1.4 Liquid Crystals interaction ene
- Page 32 and 33: (a) E = 0 (b) E = 0 1.4 Liquid Crys
- Page 34 and 35: 1.5 Spatial Solitons in Nematic Liq
- Page 36 and 37: 2.2 Set-Up Figure 2.1: Sketch of th
- Page 38 and 39: Φ = ⎛ ⎜ ⎝ Ex Hy Ey −Hx ⎞
- Page 40 and 41: (a) Reorientation angle versus x
- Page 42 and 43: 2.4 Soliton Observation to the Free
- Page 44 and 45: 2.5 Theory of Nonlinear Optical Pro
- Page 46 and 47: 2.5 Theory of Nonlinear Optical Pro
- Page 48 and 49: shape Ee ∝ exp − (x−a/2)2 +t
- Page 50 and 51: 2.5 Theory of Nonlinear Optical Pro
- Page 52 and 53: 2.5 Theory of Nonlinear Optical Pro
- Page 54 and 55: 2.5 Theory of Nonlinear Optical Pro
- Page 56 and 57: 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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3.2 Role of the Boundary Conditions
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3.2 Role of the Boundary Conditions
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3.2 Role of the Boundary Conditions
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3.2 Role of the Boundary Conditions
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3.2 Role of the Boundary Conditions
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3.2 Role of the Boundary Conditions
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3.2 Role of the Boundary Conditions
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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
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4.3 Highly Nonlocal Limit Figure 4.
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(a) Oscillation amplitude for beam
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4.4 Breathing as explained in secti
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4.4 Breathing experimental yz evolu
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5 Dissipative Self-Confined Optical
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5.2 Light Self-Confinement in Dye D
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(a) (b) 5.4 Role of Gain Saturation
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γ [m −1 ] w t [µm] 80 40 60 40
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5.4 Role of Gain Saturation having
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5.6 Co-Propagating Pump form γ =
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(a) λ = 633nm (b) λ = 532nm 5.6 C
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Appendix A Optical Properties of NL
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A.2 Derivation of the Electromagnet
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A.2 Derivation of the Electromagnet
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Appendix B Numerical Algorithm B.1
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B.1 Simulations of Nonlinear Optica
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Appendix C Analysis of the Index Pe
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Eq. (C.7) can be expressed as V υ
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C.4 Computation of V υ m C.4 Compu
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Appendix D List of Publications D.1
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D.2 Conference Papers M. Peccianti,
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REFERENCES [10] Y. Nakamura and I.
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REFERENCES [33] N. I. Nikolov, D. N
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REFERENCES [52] ——, “Spatial
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REFERENCES [72] M. A. Karpierz, “
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REFERENCES [93] G. Assanto and G. S
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REFERENCES [111] E. Rosencher and B