J. Leach, M. R. Dennis, J. Courtial, and M. J. Padgett, “Vortex knots in light,” New J. Phys. 7, 55 (2005).

[CrossRef]

E. Schonbrun, R. Piestun, P. Jordan, J. Cooper, K. D. Wulff, J. Courtial, and M. Padgett, “3D interferometric optical tweezers using a single spatial light modulator,” Opt. Express 13, 3777–3786 (2005).

[CrossRef]
[PubMed]

J. F. Nye, “Local solutions for the interaction of wave dislocations,” J. Opt. A: Pure Appl. Opt. 6, S251–S254 (2004).

[CrossRef]

M. R. Dennis, “Local phase structure of wave dislocation lines: twist and twirl,” J. Opt. A: Pure Appl. Opt. 6, S202–S208 (2004).

[CrossRef]

J. Leach, M. R. Dennis, J. Courtial, and M. J. Padgett, “Knotted threads of darkness,” Nature 432, 165 (2004).

[CrossRef]
[PubMed]

J. Masajada and B. Dubik, “Optical vortex generation by three plane wave interference,” Opt. Commun. 198, 21–27 (2001).

[CrossRef]

M. V. Berry and M. R. Dennis, “Knotted and linked phase singularities in monochromatic waves,” Proc. R. Soc. A 457, 2251–2263 (2001).

[CrossRef]

M. V. Berry and M. R. Dennis, “Knotting and unknotting of phase singularities: Helmholtz waves, paraxial waves and waves in 2+1 spacetime,” J. Phys. A: Math. Gen. 34, 8877–88 (2001).

[CrossRef]

M. V. Berry and M. R. Dennis, “Phase singularities in isotropic random waves,” Proc. R. Soc. A 456, 2059–79 (2000).

[CrossRef]

M. V. Berry, “Much ado about nothing: optical dislocation lines (phase singularities, zeros, vortices,” in . Intl. Conf. on Singular Optics, M. S. Soskin, ed., Proc. SPIE 3487, 1–15 (1998).

[CrossRef]

K. Patorski, “The self-imaging phenomenon and its applications,” Progress in Optics XXVII, 103–108 (1989).

M. V. Berry, J. F. Nye, and F. J. Wright, “The elliptic umbilic diffraction catastrophe,” Phil. Trans. R. Soc. A 291, 453–84 (1979).

[CrossRef]

J. F. Nye and M. V. Berry, “Dislocations in wave trains,” Proc. R. Soc. A 336, 165–90 (1974).

[CrossRef]

W. H. F. Talbot, “Facts relating to optical science, No. IV,” London Edinburgh Dublin Philos. Mag. J. Sci. 9, 401–407 (1836).

M. V. Berry and M. R. Dennis, “Knotted and linked phase singularities in monochromatic waves,” Proc. R. Soc. A 457, 2251–2263 (2001).

[CrossRef]

M. V. Berry and M. R. Dennis, “Knotting and unknotting of phase singularities: Helmholtz waves, paraxial waves and waves in 2+1 spacetime,” J. Phys. A: Math. Gen. 34, 8877–88 (2001).

[CrossRef]

M. V. Berry and M. R. Dennis, “Phase singularities in isotropic random waves,” Proc. R. Soc. A 456, 2059–79 (2000).

[CrossRef]

M. V. Berry, “Much ado about nothing: optical dislocation lines (phase singularities, zeros, vortices,” in . Intl. Conf. on Singular Optics, M. S. Soskin, ed., Proc. SPIE 3487, 1–15 (1998).

[CrossRef]

M. V. Berry, J. F. Nye, and F. J. Wright, “The elliptic umbilic diffraction catastrophe,” Phil. Trans. R. Soc. A 291, 453–84 (1979).

[CrossRef]

J. F. Nye and M. V. Berry, “Dislocations in wave trains,” Proc. R. Soc. A 336, 165–90 (1974).

[CrossRef]

E. Schonbrun, R. Piestun, P. Jordan, J. Cooper, K. D. Wulff, J. Courtial, and M. Padgett, “3D interferometric optical tweezers using a single spatial light modulator,” Opt. Express 13, 3777–3786 (2005).

[CrossRef]
[PubMed]

J. Leach, M. R. Dennis, J. Courtial, and M. J. Padgett, “Vortex knots in light,” New J. Phys. 7, 55 (2005).

[CrossRef]

J. Leach, M. R. Dennis, J. Courtial, and M. J. Padgett, “Knotted threads of darkness,” Nature 432, 165 (2004).

[CrossRef]
[PubMed]

J. Leach, M. R. Dennis, J. Courtial, and M. J. Padgett, “Vortex knots in light,” New J. Phys. 7, 55 (2005).

[CrossRef]

J. Leach, M. R. Dennis, J. Courtial, and M. J. Padgett, “Knotted threads of darkness,” Nature 432, 165 (2004).

[CrossRef]
[PubMed]

M. R. Dennis, “Local phase structure of wave dislocation lines: twist and twirl,” J. Opt. A: Pure Appl. Opt. 6, S202–S208 (2004).

[CrossRef]

M. V. Berry and M. R. Dennis, “Knotting and unknotting of phase singularities: Helmholtz waves, paraxial waves and waves in 2+1 spacetime,” J. Phys. A: Math. Gen. 34, 8877–88 (2001).

[CrossRef]

M. V. Berry and M. R. Dennis, “Knotted and linked phase singularities in monochromatic waves,” Proc. R. Soc. A 457, 2251–2263 (2001).

[CrossRef]

M. V. Berry and M. R. Dennis, “Phase singularities in isotropic random waves,” Proc. R. Soc. A 456, 2059–79 (2000).

[CrossRef]

J. Masajada and B. Dubik, “Optical vortex generation by three plane wave interference,” Opt. Commun. 198, 21–27 (2001).

[CrossRef]

J. W. Goodman, Statistical Optics (Wiley, 1985).

J. Leach, M. R. Dennis, J. Courtial, and M. J. Padgett, “Vortex knots in light,” New J. Phys. 7, 55 (2005).

[CrossRef]

J. Leach, M. R. Dennis, J. Courtial, and M. J. Padgett, “Knotted threads of darkness,” Nature 432, 165 (2004).

[CrossRef]
[PubMed]

J. Masajada and B. Dubik, “Optical vortex generation by three plane wave interference,” Opt. Commun. 198, 21–27 (2001).

[CrossRef]

J. F. Nye, “Local solutions for the interaction of wave dislocations,” J. Opt. A: Pure Appl. Opt. 6, S251–S254 (2004).

[CrossRef]

M. V. Berry, J. F. Nye, and F. J. Wright, “The elliptic umbilic diffraction catastrophe,” Phil. Trans. R. Soc. A 291, 453–84 (1979).

[CrossRef]

J. F. Nye and M. V. Berry, “Dislocations in wave trains,” Proc. R. Soc. A 336, 165–90 (1974).

[CrossRef]

J. F. Nye, Natural focusing and fine structure of light (Institute of Physics Publishing,1999).

J. F. Nye, “Dislocation lines in the hyperbolic umbilic diffraction catastrophe,” Proc. R. Soc. A, in press (2006).

[CrossRef]

J. Leach, M. R. Dennis, J. Courtial, and M. J. Padgett, “Vortex knots in light,” New J. Phys. 7, 55 (2005).

[CrossRef]

J. Leach, M. R. Dennis, J. Courtial, and M. J. Padgett, “Knotted threads of darkness,” Nature 432, 165 (2004).

[CrossRef]
[PubMed]

K. Patorski, “The self-imaging phenomenon and its applications,” Progress in Optics XXVII, 103–108 (1989).

W. H. F. Talbot, “Facts relating to optical science, No. IV,” London Edinburgh Dublin Philos. Mag. J. Sci. 9, 401–407 (1836).

M. V. Berry, J. F. Nye, and F. J. Wright, “The elliptic umbilic diffraction catastrophe,” Phil. Trans. R. Soc. A 291, 453–84 (1979).

[CrossRef]

J. F. Nye, “Local solutions for the interaction of wave dislocations,” J. Opt. A: Pure Appl. Opt. 6, S251–S254 (2004).

[CrossRef]

M. R. Dennis, “Local phase structure of wave dislocation lines: twist and twirl,” J. Opt. A: Pure Appl. Opt. 6, S202–S208 (2004).

[CrossRef]

M. V. Berry and M. R. Dennis, “Knotting and unknotting of phase singularities: Helmholtz waves, paraxial waves and waves in 2+1 spacetime,” J. Phys. A: Math. Gen. 34, 8877–88 (2001).

[CrossRef]

W. H. F. Talbot, “Facts relating to optical science, No. IV,” London Edinburgh Dublin Philos. Mag. J. Sci. 9, 401–407 (1836).

J. Leach, M. R. Dennis, J. Courtial, and M. J. Padgett, “Knotted threads of darkness,” Nature 432, 165 (2004).

[CrossRef]
[PubMed]

J. Leach, M. R. Dennis, J. Courtial, and M. J. Padgett, “Vortex knots in light,” New J. Phys. 7, 55 (2005).

[CrossRef]

J. Masajada and B. Dubik, “Optical vortex generation by three plane wave interference,” Opt. Commun. 198, 21–27 (2001).

[CrossRef]

M. V. Berry, J. F. Nye, and F. J. Wright, “The elliptic umbilic diffraction catastrophe,” Phil. Trans. R. Soc. A 291, 453–84 (1979).

[CrossRef]

M. V. Berry and M. R. Dennis, “Knotted and linked phase singularities in monochromatic waves,” Proc. R. Soc. A 457, 2251–2263 (2001).

[CrossRef]

J. F. Nye and M. V. Berry, “Dislocations in wave trains,” Proc. R. Soc. A 336, 165–90 (1974).

[CrossRef]

M. V. Berry and M. R. Dennis, “Phase singularities in isotropic random waves,” Proc. R. Soc. A 456, 2059–79 (2000).

[CrossRef]

M. V. Berry, “Much ado about nothing: optical dislocation lines (phase singularities, zeros, vortices,” in . Intl. Conf. on Singular Optics, M. S. Soskin, ed., Proc. SPIE 3487, 1–15 (1998).

[CrossRef]

K. Patorski, “The self-imaging phenomenon and its applications,” Progress in Optics XXVII, 103–108 (1989).

J. F. Nye, “Dislocation lines in the hyperbolic umbilic diffraction catastrophe,” Proc. R. Soc. A, in press (2006).

[CrossRef]

J. W. Goodman, Statistical Optics (Wiley, 1985).

J. F. Nye, Natural focusing and fine structure of light (Institute of Physics Publishing,1999).