Summary
After describing some elements of the theory of linear optical vortices I discuss experimental and theoretical aspects of optical vortex solitons. A simple computer code is included for generating the field of an arbitrary distribution of vortices
Keywords
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
H.J. Lugt Vortex Flow in Nature and Technology ( Wiley, New York, 1983 ).
S.A. Dommin, http://rrrembers.aol.com/hotelq/(Date of last access: June 30, 2001 ).
D. Rozas, C.T. Law, G.A. Swartzlander, Jr., Propagation dynamics of optical vortices, J. Opt. Soc. Am. B 14, 3054–3065 (1997).
V.L. Ginzburg, L.P. Pitaevskii, On the theory of superfluidity, Zh. Eks. Teor. Fiz. 34, 1240–1245 (1958) [Sov. Phys. JETP 7, 858–861 (1958)].
L.P. Pitaevskii, Vortex lines in an imperfect Bose gas, Zh. Eks. Teor. Fiz. 40, 646–651 [(1961) Sov. Phys. JETP 13, 451–454 (1961)]
A.L. Fetter, Vortices in an imperfect Bose gas. I. The condensate, Phys. Rev. 138, A429–A437 (1965).
S. Ramo, J.R. Whinnery, T. Van Duzer, Fields and Waves in Communication Electronics ( Wiley, New York 1965 ).
G. Goubau, F. Schwering, On the guided propagation of electromagnetic wave beams, IRE Trans. Antennas Propag. 9, 248–256 (1961).
N.B. Baranova, B.Ya. Zel’dovich, A.V. Mamaev, N.F. Pilipetskii, V.V. Shkunov, Dislocations of the wavefront of a speckle-inhomogeneous field (theory and experiment), Pis’ma Zh. Eks. Teor. Fiz. 33, 206–210 (1981) [JETP Lett. 33, 195–199 (1981)].
L. Allen, M.W. Beijersbergen, R.J.C. Spreeuw, J.P. Woerdman, Orbital angular momentum and the transformation of Laguerre–Gaussian modes, Phys. Rev. A 45, 8185–8189 (1992).
J.F. Nye, M.V. Berry, Dislocations in wave trains, Proc. R. Soc. Lond. A 336, 165–190 (1974).
Z.S. Sacks, D. Rozas, G.A. Swartzlander, Jr., Holographic formation of optical vortex filaments, J. Opt. Soc. Am. B 15, 2226–2234 (1998).
J.D. Gaskill, Linear Systems, Fourier Transforms and Optics ( Wiley, New York, 1978 ), p. 320.
M.V. Berry (1981) Singularities in waves and rays in Physics of Defects, Les Houches Sessions XXXV, ed. by R. Balian, M. Kleman, J.-P. Poirier, ( North-Holland, Amsterdam, 1981 ), pp. 453–543.
N.B. Baranova, A.V. Mamaev, N.F. Pilipetsky, V.V. Shkunov, B.Ya. Zel’dovich Wave-front dislocations: topological limitations for adaptive systems with phase conjugation, J. Opt. Soc. Am. 73, 525–528 (1983).
J.F. Nye, Optical caustics in the near field from liquid drops, Proc. R. Soc. Lond. A 361, 21–41 (1978)
J.F. Nye, The catastrophe optics of liquid drop lenses, Proc. R. Soc. Lond. A 403, 1–26 (1986)
V.Y. Bazhenov, M.V. Vasnetsov, M.S. Soskin, Laser beams with screw dislocations in their wavefronts, Pis’ma Zh. Eks. Teor. Fiz. 52, 1037–1039, (1990) [JETP Lett. 52, 429–431 (1990)].
V.Y. Bazhenov, M.S. Soskin, M.V. Vasnetsov, Screw dislocations in light wave-fronts, J. Mod. Opt. 39, 985–990 (1992).
N.R. Heckenberg, R. McDuff, C.P. Smith, A.G. White, Generation of optical phase singularities by computer-generated holograms, Opt. Lett. 17, 221–223 (1992)
Z.S. Sacks, Construction of Vortex Phase Holograms, Master’s thesis, Worcester Polytechnic Institute, Worcester, MA, USA (1995).
D. Rozas, Z.S. Sacks, G.A. Swartzlander, Jr., Experimental observation of fluidlike motion of optical vortices, Phys. Rev. Lett. 79, 3399–3402 (1997).
G.A. Swartzlander, Jr., C.T. Law, Optical vortex solitons observed in Kerr nonlinear media, Phys. Rev. Lett. 69, 2503–2506 (1992)
A.W. Snyder, L. Poladian, D.J. Mitchell, Stable black self-guided beams of circular symmetry in a bulk Kerr medium, Opt. Lett. 17, 789–791 (1992).
R.C.C. Leite, R.S. Moore, J.R. Whinnery, Low absorption measurements by means of the thermal lens effect using a He Ne Laser, Appl. Phys. Lett. 5, 141–143 (1964)
J.P. Gordon, R.C.C. Leite, R.S. Moore, S.P.S. Porto, J.R. Whinnery, Long-transient effects in lasers with inserted liquid samples, J. Appl. Phys. 36, 3–8 (1965)
G.A. Swartzlander Jr., B.L. Justice, A.L. Huston, A.J. Campillo. C.T. Law, Characteristics of a low f-number broadband visible thermal optical limiter, Int. J. Nonlinear Opt. Phys., 2, 577–611 (1993).
G. Duree, M. Morin, G. Salamo, M. Segev, B. Crosignani, P. DiPorto, E. Sharp, A. Yariv, Dark photorefractive spatial solitons and photorefractive vortex solitons, Phys. Rev. Lett. 74, 1978–1981 (1995).
C.T. Law, G.A. Swartzlander, Jr., Polarized optical vortex solitons: instabilities and dynamics in Kerr nonlinear media, Chaos Solitons Fractals 4, 1759–1766 (1994).
G.A. Swartzlander, Jr., D.L. Drugan, N. Hallak, M.O. Freeman, C.T. Law, Optical transistor effect using an optical vortex soliton, Laser Phys. 5. 704–709 (1995).
C.T. Law, G.A. Swartzlander, Jr., Optical vortex solitons and the stability of dark solitons stripes, Opt. Lett. 18, 586–588 (1993).
A.V. Mamaev, M. Saffman, A.A. Zozulya, Propagation of dark stripe beams in nonlinear media: snake instability and creation of optical vortices, Phys. Rev. Lett. 76, 2262–2265 (1996).
A.V. Mamaev, M. Saffman, D.Z. Anderson, A.A. Zozulya, Propagation of light beams in anisotropic nonlinear media: frorrr symmetry breaking to spatial turbulence, Phys. Rev. A 54, 870–879 (1996).
D. Rozas, G.A. Swartzlander, Jr., Observed rotational enhancement of nonlinear optical vortices, Opt. Lett. 25, 126–128 (2000).
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2001 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Swartzlander, G.A. (2001). Optical Vortex Solitons. In: Trillo, S., Torruellas, W. (eds) Spatial Solitons. Springer Series in Optical Sciences, vol 82. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-44582-1_11
Download citation
DOI: https://doi.org/10.1007/978-3-540-44582-1_11
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-07498-1
Online ISBN: 978-3-540-44582-1
eBook Packages: Springer Book Archive