Spiralling elliptic vortex solitons in nonlocal nonlinear media

References

• Krolikowski, W.; Bang, O.; Rasmussen, J.J.; Wyller, J. Modulational Instability in Nonlocal Nonlinear Kerr Media. Phys. Rev. E 2001, 64, 016612.
   Web of Science ®Google Scholar
• Bang, O.; Krolikowski, W.; Wyller, J.; Rasmussen, J.J. Collapse Arrest and Soliton Stabilization in Nonlocal Nonlinear Media. Phys. Rev. E 2002, 66, 046619.
   Web of Science ®Google Scholar
• Snyder, A.W.; Mitchell, D.J. Accessible Solitons. Science 1997, 276, 1538–1541.
   Web of Science ®Google Scholar
• Buccoliero, D.; Desyatnikov, A.S.; Krolikowski, W.; Kivshar, Y.S. Laguerre and Hermite Soliton Clusters in Nonlocal Nonlinear Media. Phys. Rev. Lett. 2007, 98, 053901.
   PubMed Web of Science ®Google Scholar
• Liang, G.; Guo, Q. Spiraling Elliptic Solitons in Nonlocal Nonlinear Media without Anisotropy. Phys. Rev. A 2013, 88, 043825.
   Web of Science ®Google Scholar
• Terriz, G.M.; Torres, J.P.; Torner, L. Twisted Photons. Nat. Phys. 2007, 3, 305.
   Web of Science ®Google Scholar
• Arnold, S.F.; Allen, L.; Padgett, M. Advances in Optical Angular Momentum. Laser & Photon. Rev. 2008, 1–15.
   Web of Science ®Google Scholar
• Yakimenko, A.I.; Lashkin, V.M.; Prikhodko, O.O. Dynamics of Two-dimensional Coherent Structures in Nonlocal Nonlinear Media. Phys. Rev. E 2006, 73, 066605.
   Web of Science ®Google Scholar
• Buccoliero, D.; Desyatnikov, A.S.; Krolikowski, W.; Kivshar, Y.S. Spiraling Multivortex Solitons in Nonlocal Nonlinear Media. Opt. Lett. 2008, 33, 198–200.
   PubMed Web of Science ®Google Scholar
• Trapani, P.D.; Chinaglia, W.; Minardi, S.; Piskarskas, A.; Valiulis, G. Observation of Quadratic Optical Vortex Solitons. Phys. Rev. Lett. 2000, 84, 3843–3846.
   PubMed Web of Science ®Google Scholar
• Desyatnikov, A.S.; Buccoliero, D.; Dennis, M.R.; Kivshar, Y.S. Suppression of Collapse for Spiraling Elliptic Solitons. Phys. Rev. Lett. 2010, 104, 053902.
   PubMed Web of Science ®Google Scholar
• Liang, G.; Guo, Q.; Cheng, W.J.; Yin, N.Q.; Wu, P.; Cao, H.M. Spiraling Elliptic Beam in Nonlocal Nonlinear Media. Opt Express 2015, 23, 24612.
   PubMed Web of Science ®Google Scholar
• Liang, G.; Guo, Q.; Shou, Q.; Ren, Z.M. Dynamics of Elliptic Breathers in Saturablenonlinear Media with Linear Anisotropy. J. Opt. 2014, 16, 085205.
   Web of Science ®Google Scholar
• Liang, G.; Li, H.G. Polarized Vector Spiraling Elliptic Solitons in Nonlocal Nonlinear Media. Opt. Commun. 2015, 352, 39–44.
   Web of Science ®Google Scholar
• Mitchell, D.J.; Snyder, A.W. Soliton Dynamics in a Nonlocal Medium. J. Opt. Soc. Am. B 1999, 16, 236–239.
   Web of Science ®Google Scholar
• Chen, X.; Guo, Q.; She, W.; Zeng, H.; Zhang, G. Advances in Nonlinear Optics. Nonlocal Spatial Optical Solitons, De Gruyter: Berlin, 2015. pp. 277–306; Chapter 4.
   Google Scholar
• Coullet, P.; Gil, L.; Rocca, F. Optical Vortices. Opt. Commun. 1989, 73, 403–408.
   Web of Science ®Google Scholar
• Anderson, D. Variational Approach to Nonlinear Pulse Propagation in Optical Fibers. Phys. Rev. A 1983, 27, 3135–3145.
   Web of Science ®Google Scholar
• Guo, Q.; Luo, B.; Chi, S. Optical Beams in Sub-strongly Non-local Nonlinear Media: A Variational Solution. Opt. Commun. 2006, 259, 336–341.
   Web of Science ®Google Scholar
• Mihalache, D.; Mazilu, D.; Crasovan, L.C.; Towers, I.; Buryak, A.V.; Malomed, B.A.; Torner, L.; Torres, J.P.; Lederer, F. Stable Spinning Optical Solitons in Three Dimensions. Phys. Rev. Lett. 2002, 88, 073902.
   PubMed Web of Science ®Google Scholar
• Belic, M.R.; Stepken, A.; Kaiser, F. Spiraling Behavior of Photorefractive Screening Solitons. Phys. Rev. Lett. 1999, 82, 544–547.
   Web of Science ®Google Scholar
• Buryak, A.V.; Kivshar, Y.S.; Shih, M.F.; Segev, M. Induced Coherence and Stable Soliton Spiraling. Phys. Rev. Lett. 1999, 82, 81–84.
   Web of Science ®Google Scholar
• Shih, M.F.; Segev, M.; Salamo, G. Three-Dimensional Spiraling of Interacting Spatial Solitons. Phys. Rev. Lett. 1997, 78, 2551–2554.
   Web of Science ®Google Scholar
• Rotschild, C.; Alfassi, B.; Cohen, O.; Segev, M. Long-range Interactions Between Optical Solitons. Nat. Phys. 2006, 2, 769–774.
   Web of Science ®Google Scholar
• Desyatnikov, A.S.; Kivshar, Y.S. Rotating Optical Soliton Clusters. Phys. Rev. Lett. 2002, 88, 053901.
   PubMed Web of Science ®Google Scholar
• Steblina, V.V.; Kivshar, Y.S.; Buryak, A.V. Scattering and Spiraling of Solitons in a Bulk Quadratic Medium. Opt. Lett. 1998, 23, 156–158.
   PubMed Web of Science ®Google Scholar
• Deng, D.; Guo, Q.; Hu, W. Complex-variable-function Gaussian Beam in Strongly Nonlocal Nonlinear Media. Phys. Rev. A 2009, 79, 023803.
   Web of Science ®Google Scholar