J. Xavier, S. Vyas, P. Senthilkumaran, and J. Joseph, “Complex 3D vortex lattice formation by phase-engineered multiple beam interference,” Int. J. Opt. 2012, 863875 (2012).

Y. F. Chen, H. C. Liang, Y. C. Lin, Y. S. Tzeng, K. W. Su, and K. F. Huang, “Generation of optical crystals and quasicrystal beams: Kaleidoscopic patterns and phase singularity,” Phys. Rev. A 83, 053813 (2011).

[CrossRef]

J. Xavier and J. Joseph, “Tunable complex photonic chiral lattices by reconfigurable optical phase engineering,” Opt. Lett. 36, 403–405 (2011).

[CrossRef]

V. Arrizón, D. Sánchez de-la-Llave, G. Méndez, and U. Ruiz, “Efficient generation of periodic and quasi-periodic non-diffractive optical fields with phase holograms,” Opt. Express 19, 10553–10562 (2011).

[CrossRef]

J. Xavier, S. Vyas, P. Senthilkumaran, C. Denz, and J. Joseph, “Sculptured 3D twister superlattices embedded with tunable vortex spirals,” Opt. Lett. 36, 3512–3514 (2011).

[CrossRef]

K. J. H. Law, A. Saxena, P. G. Kevrekidis, and A. R. Bishop, “Stable structures with high topological charge in nonlinear photonic quasicrystals,” Phys. Rev. A 82, 035802 (2010).

[CrossRef]

M. Wegener and S. Linden, “Shaping optical space with metamaterials,” Phys. Today 63, 32–36 (2010).

[CrossRef]

C. Lu and R. H. Lipson, “Interference lithography: a powerful tool for fabricating periodic structures,” Laser Photon. Rev. 4, 568–580 (2010).

[CrossRef]

J. Xavier, M. Boguslawski, P. Rose, J. Joseph, and C. Denz, “Reconfigurable optically induced quasicrystallographic three-dimensional complex nonlinear photonic lattice structures,” Adv. Mater. 22, 356–360 (2010).

[CrossRef]

E. Serabyn, D. Mawet, and R. Burruss, “An image of an exoplanet separated by two diffraction beam widths from a star,” Nature 464, 1018–1020 (2010).

[CrossRef]

M. R. Dennis, K. O’Holleran, and M. J. Padgett, “Singular optics: optical vortices and polarization singularities,” Prog. Opt. 53, 293–363 (2009).

[CrossRef]

L. G. Wang, L. Q. Wang, and S. Y. Zhu, “Formation of optical vortices using coherent laser beam arrays,” Opt. Commun. 282, 1088–1094 (2009).

[CrossRef]

J. Xavier, P. Rose, B. Terhalle, J. Joseph, and C. Denz, “Three-dimensional optically induced reconfigurable photorefractive nonlinear photonic lattices,” Opt. Lett. 34, 2625–2627 (2009).

[CrossRef]

P. Senthilkumaran, F. Wyrowski, and H. Schimmel, “Vortex stagnation problem in iterative Fourier transform algorithms,” Opt. Lasers Eng. 43, 43–56 (2005).

[CrossRef]

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

[CrossRef]

L. Paterson, M. P. MacDonald, J. Arlt, W. Sibbett, P. E. Bryant, and K. Dholakia, “Controlled rotation of optically trapped microscopic particles,” Science 292, 912–914 (2001).

[CrossRef]

I. Freund and N. Shvartsman, “Wave-field phase singularities: the sign principle,” Phys. Rev. A 50, 5164–5172 (1994).

[CrossRef]

G. Indbetouw, “Optical vortices and their propagation,” J. Mod. Opt. 40, 73–87 (1993).

[CrossRef]

V. Yu. Bazhenov, M. S. Soskin, and M. V. Vasnetsov, “Screw dislocations in light wavefronts,” J. Mod. Opt. 39, 985–990 (1992).

[CrossRef]

J. F. Nye and M. V. Berry, “Dislocations in wave trains,” Proc. R. Soc. A 336, 165–190 (1974).

[CrossRef]

D. L. Andrews, Structured Light and Its Applications: An Introduction to Phase-Structured Beams and Nanoscale Optical Forces (Academic, 2008).

L. Paterson, M. P. MacDonald, J. Arlt, W. Sibbett, P. E. Bryant, and K. Dholakia, “Controlled rotation of optically trapped microscopic particles,” Science 292, 912–914 (2001).

[CrossRef]

V. Yu. Bazhenov, M. S. Soskin, and M. V. Vasnetsov, “Screw dislocations in light wavefronts,” J. Mod. Opt. 39, 985–990 (1992).

[CrossRef]

G. C. G. Berkhout and M. W. Beijersbergen, “Method for probing the orbital angular momentum of optical vortices in electromagnetic waves from astronomical objects,” Phys. Rev. Lett. 101, 100801 (2008).

[CrossRef]

G. C. G. Berkhout and M. W. Beijersbergen, “Method for probing the orbital angular momentum of optical vortices in electromagnetic waves from astronomical objects,” Phys. Rev. Lett. 101, 100801 (2008).

[CrossRef]

J. F. Nye and M. V. Berry, “Dislocations in wave trains,” Proc. R. Soc. A 336, 165–190 (1974).

[CrossRef]

K. J. H. Law, A. Saxena, P. G. Kevrekidis, and A. R. Bishop, “Stable structures with high topological charge in nonlinear photonic quasicrystals,” Phys. Rev. A 82, 035802 (2010).

[CrossRef]

J. Xavier, M. Boguslawski, P. Rose, J. Joseph, and C. Denz, “Reconfigurable optically induced quasicrystallographic three-dimensional complex nonlinear photonic lattice structures,” Adv. Mater. 22, 356–360 (2010).

[CrossRef]

L. Paterson, M. P. MacDonald, J. Arlt, W. Sibbett, P. E. Bryant, and K. Dholakia, “Controlled rotation of optically trapped microscopic particles,” Science 292, 912–914 (2001).

[CrossRef]

E. Serabyn, D. Mawet, and R. Burruss, “An image of an exoplanet separated by two diffraction beam widths from a star,” Nature 464, 1018–1020 (2010).

[CrossRef]

Y. F. Chen, H. C. Liang, Y. C. Lin, Y. S. Tzeng, K. W. Su, and K. F. Huang, “Generation of optical crystals and quasicrystal beams: Kaleidoscopic patterns and phase singularity,” Phys. Rev. A 83, 053813 (2011).

[CrossRef]

M. R. Dennis, K. O’Holleran, and M. J. Padgett, “Singular optics: optical vortices and polarization singularities,” Prog. Opt. 53, 293–363 (2009).

[CrossRef]

K. O’Holleran, M. J. Padgett, and M. R. Dennis, “Topology of optical vortex lines formed by the interference of three, four, and five plane waves,” Opt. Express 14, 3039–3044 (2006).

[CrossRef]

J. Xavier, S. Vyas, P. Senthilkumaran, C. Denz, and J. Joseph, “Sculptured 3D twister superlattices embedded with tunable vortex spirals,” Opt. Lett. 36, 3512–3514 (2011).

[CrossRef]

J. Xavier, M. Boguslawski, P. Rose, J. Joseph, and C. Denz, “Reconfigurable optically induced quasicrystallographic three-dimensional complex nonlinear photonic lattice structures,” Adv. Mater. 22, 356–360 (2010).

[CrossRef]

J. Xavier, P. Rose, B. Terhalle, J. Joseph, and C. Denz, “Three-dimensional optically induced reconfigurable photorefractive nonlinear photonic lattices,” Opt. Lett. 34, 2625–2627 (2009).

[CrossRef]

L. Paterson, M. P. MacDonald, J. Arlt, W. Sibbett, P. E. Bryant, and K. Dholakia, “Controlled rotation of optically trapped microscopic particles,” Science 292, 912–914 (2001).

[CrossRef]

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

[CrossRef]

I. Freund and N. Shvartsman, “Wave-field phase singularities: the sign principle,” Phys. Rev. A 50, 5164–5172 (1994).

[CrossRef]

Y. F. Chen, H. C. Liang, Y. C. Lin, Y. S. Tzeng, K. W. Su, and K. F. Huang, “Generation of optical crystals and quasicrystal beams: Kaleidoscopic patterns and phase singularity,” Phys. Rev. A 83, 053813 (2011).

[CrossRef]

G. Indbetouw, “Optical vortices and their propagation,” J. Mod. Opt. 40, 73–87 (1993).

[CrossRef]

J. Xavier, S. Vyas, P. Senthilkumaran, and J. Joseph, “Complex 3D vortex lattice formation by phase-engineered multiple beam interference,” Int. J. Opt. 2012, 863875 (2012).

J. Xavier, S. Vyas, P. Senthilkumaran, C. Denz, and J. Joseph, “Sculptured 3D twister superlattices embedded with tunable vortex spirals,” Opt. Lett. 36, 3512–3514 (2011).

[CrossRef]

J. Xavier and J. Joseph, “Tunable complex photonic chiral lattices by reconfigurable optical phase engineering,” Opt. Lett. 36, 403–405 (2011).

[CrossRef]

J. Xavier, M. Boguslawski, P. Rose, J. Joseph, and C. Denz, “Reconfigurable optically induced quasicrystallographic three-dimensional complex nonlinear photonic lattice structures,” Adv. Mater. 22, 356–360 (2010).

[CrossRef]

J. Xavier, P. Rose, B. Terhalle, J. Joseph, and C. Denz, “Three-dimensional optically induced reconfigurable photorefractive nonlinear photonic lattices,” Opt. Lett. 34, 2625–2627 (2009).

[CrossRef]

K. J. H. Law, A. Saxena, P. G. Kevrekidis, and A. R. Bishop, “Stable structures with high topological charge in nonlinear photonic quasicrystals,” Phys. Rev. A 82, 035802 (2010).

[CrossRef]

K. J. H. Law, A. Saxena, P. G. Kevrekidis, and A. R. Bishop, “Stable structures with high topological charge in nonlinear photonic quasicrystals,” Phys. Rev. A 82, 035802 (2010).

[CrossRef]

Y. F. Chen, H. C. Liang, Y. C. Lin, Y. S. Tzeng, K. W. Su, and K. F. Huang, “Generation of optical crystals and quasicrystal beams: Kaleidoscopic patterns and phase singularity,” Phys. Rev. A 83, 053813 (2011).

[CrossRef]

Y. F. Chen, H. C. Liang, Y. C. Lin, Y. S. Tzeng, K. W. Su, and K. F. Huang, “Generation of optical crystals and quasicrystal beams: Kaleidoscopic patterns and phase singularity,” Phys. Rev. A 83, 053813 (2011).

[CrossRef]

M. Wegener and S. Linden, “Shaping optical space with metamaterials,” Phys. Today 63, 32–36 (2010).

[CrossRef]

C. Lu and R. H. Lipson, “Interference lithography: a powerful tool for fabricating periodic structures,” Laser Photon. Rev. 4, 568–580 (2010).

[CrossRef]

C. Lu and R. H. Lipson, “Interference lithography: a powerful tool for fabricating periodic structures,” Laser Photon. Rev. 4, 568–580 (2010).

[CrossRef]

L. Paterson, M. P. MacDonald, J. Arlt, W. Sibbett, P. E. Bryant, and K. Dholakia, “Controlled rotation of optically trapped microscopic particles,” Science 292, 912–914 (2001).

[CrossRef]

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

[CrossRef]

E. Serabyn, D. Mawet, and R. Burruss, “An image of an exoplanet separated by two diffraction beam widths from a star,” Nature 464, 1018–1020 (2010).

[CrossRef]

J. F. Nye and M. V. Berry, “Dislocations in wave trains,” Proc. R. Soc. A 336, 165–190 (1974).

[CrossRef]

M. R. Dennis, K. O’Holleran, and M. J. Padgett, “Singular optics: optical vortices and polarization singularities,” Prog. Opt. 53, 293–363 (2009).

[CrossRef]

K. O’Holleran, M. J. Padgett, and M. R. Dennis, “Topology of optical vortex lines formed by the interference of three, four, and five plane waves,” Opt. Express 14, 3039–3044 (2006).

[CrossRef]

M. R. Dennis, K. O’Holleran, and M. J. Padgett, “Singular optics: optical vortices and polarization singularities,” Prog. Opt. 53, 293–363 (2009).

[CrossRef]

K. O’Holleran, M. J. Padgett, and M. R. Dennis, “Topology of optical vortex lines formed by the interference of three, four, and five plane waves,” Opt. Express 14, 3039–3044 (2006).

[CrossRef]

G. Ruben and D. M. Paganin, “Phase vortices from a Young’s three-pinhole interferometer,” Phys. Rev. E 75, 066613 (2007).

[CrossRef]

L. Paterson, M. P. MacDonald, J. Arlt, W. Sibbett, P. E. Bryant, and K. Dholakia, “Controlled rotation of optically trapped microscopic particles,” Science 292, 912–914 (2001).

[CrossRef]

J. Xavier, M. Boguslawski, P. Rose, J. Joseph, and C. Denz, “Reconfigurable optically induced quasicrystallographic three-dimensional complex nonlinear photonic lattice structures,” Adv. Mater. 22, 356–360 (2010).

[CrossRef]

J. Xavier, P. Rose, B. Terhalle, J. Joseph, and C. Denz, “Three-dimensional optically induced reconfigurable photorefractive nonlinear photonic lattices,” Opt. Lett. 34, 2625–2627 (2009).

[CrossRef]

G. Ruben and D. M. Paganin, “Phase vortices from a Young’s three-pinhole interferometer,” Phys. Rev. E 75, 066613 (2007).

[CrossRef]

K. J. H. Law, A. Saxena, P. G. Kevrekidis, and A. R. Bishop, “Stable structures with high topological charge in nonlinear photonic quasicrystals,” Phys. Rev. A 82, 035802 (2010).

[CrossRef]

P. Senthilkumaran, F. Wyrowski, and H. Schimmel, “Vortex stagnation problem in iterative Fourier transform algorithms,” Opt. Lasers Eng. 43, 43–56 (2005).

[CrossRef]

J. Xavier, S. Vyas, P. Senthilkumaran, and J. Joseph, “Complex 3D vortex lattice formation by phase-engineered multiple beam interference,” Int. J. Opt. 2012, 863875 (2012).

J. Xavier, S. Vyas, P. Senthilkumaran, C. Denz, and J. Joseph, “Sculptured 3D twister superlattices embedded with tunable vortex spirals,” Opt. Lett. 36, 3512–3514 (2011).

[CrossRef]

S. Vyas and P. Senthilkumaran, “Interferometric optical vortex array generator,” Appl. Opt. 46, 2893–2898 (2007).

[CrossRef]

P. Senthilkumaran, F. Wyrowski, and H. Schimmel, “Vortex stagnation problem in iterative Fourier transform algorithms,” Opt. Lasers Eng. 43, 43–56 (2005).

[CrossRef]

E. Serabyn, D. Mawet, and R. Burruss, “An image of an exoplanet separated by two diffraction beam widths from a star,” Nature 464, 1018–1020 (2010).

[CrossRef]

I. Freund and N. Shvartsman, “Wave-field phase singularities: the sign principle,” Phys. Rev. A 50, 5164–5172 (1994).

[CrossRef]

L. Paterson, M. P. MacDonald, J. Arlt, W. Sibbett, P. E. Bryant, and K. Dholakia, “Controlled rotation of optically trapped microscopic particles,” Science 292, 912–914 (2001).

[CrossRef]

V. Yu. Bazhenov, M. S. Soskin, and M. V. Vasnetsov, “Screw dislocations in light wavefronts,” J. Mod. Opt. 39, 985–990 (1992).

[CrossRef]

Y. F. Chen, H. C. Liang, Y. C. Lin, Y. S. Tzeng, K. W. Su, and K. F. Huang, “Generation of optical crystals and quasicrystal beams: Kaleidoscopic patterns and phase singularity,” Phys. Rev. A 83, 053813 (2011).

[CrossRef]

Y. F. Chen, H. C. Liang, Y. C. Lin, Y. S. Tzeng, K. W. Su, and K. F. Huang, “Generation of optical crystals and quasicrystal beams: Kaleidoscopic patterns and phase singularity,” Phys. Rev. A 83, 053813 (2011).

[CrossRef]

V. Yu. Bazhenov, M. S. Soskin, and M. V. Vasnetsov, “Screw dislocations in light wavefronts,” J. Mod. Opt. 39, 985–990 (1992).

[CrossRef]

J. Xavier, S. Vyas, P. Senthilkumaran, and J. Joseph, “Complex 3D vortex lattice formation by phase-engineered multiple beam interference,” Int. J. Opt. 2012, 863875 (2012).

J. Xavier, S. Vyas, P. Senthilkumaran, C. Denz, and J. Joseph, “Sculptured 3D twister superlattices embedded with tunable vortex spirals,” Opt. Lett. 36, 3512–3514 (2011).

[CrossRef]

S. Vyas and P. Senthilkumaran, “Interferometric optical vortex array generator,” Appl. Opt. 46, 2893–2898 (2007).

[CrossRef]

L. G. Wang, L. Q. Wang, and S. Y. Zhu, “Formation of optical vortices using coherent laser beam arrays,” Opt. Commun. 282, 1088–1094 (2009).

[CrossRef]

L. G. Wang, L. Q. Wang, and S. Y. Zhu, “Formation of optical vortices using coherent laser beam arrays,” Opt. Commun. 282, 1088–1094 (2009).

[CrossRef]

M. Wegener and S. Linden, “Shaping optical space with metamaterials,” Phys. Today 63, 32–36 (2010).

[CrossRef]

P. Senthilkumaran, F. Wyrowski, and H. Schimmel, “Vortex stagnation problem in iterative Fourier transform algorithms,” Opt. Lasers Eng. 43, 43–56 (2005).

[CrossRef]

J. Xavier, S. Vyas, P. Senthilkumaran, and J. Joseph, “Complex 3D vortex lattice formation by phase-engineered multiple beam interference,” Int. J. Opt. 2012, 863875 (2012).

J. Xavier, S. Vyas, P. Senthilkumaran, C. Denz, and J. Joseph, “Sculptured 3D twister superlattices embedded with tunable vortex spirals,” Opt. Lett. 36, 3512–3514 (2011).

[CrossRef]

J. Xavier and J. Joseph, “Tunable complex photonic chiral lattices by reconfigurable optical phase engineering,” Opt. Lett. 36, 403–405 (2011).

[CrossRef]

J. Xavier, M. Boguslawski, P. Rose, J. Joseph, and C. Denz, “Reconfigurable optically induced quasicrystallographic three-dimensional complex nonlinear photonic lattice structures,” Adv. Mater. 22, 356–360 (2010).

[CrossRef]

J. Xavier, P. Rose, B. Terhalle, J. Joseph, and C. Denz, “Three-dimensional optically induced reconfigurable photorefractive nonlinear photonic lattices,” Opt. Lett. 34, 2625–2627 (2009).

[CrossRef]

L. G. Wang, L. Q. Wang, and S. Y. Zhu, “Formation of optical vortices using coherent laser beam arrays,” Opt. Commun. 282, 1088–1094 (2009).

[CrossRef]

J. Xavier, M. Boguslawski, P. Rose, J. Joseph, and C. Denz, “Reconfigurable optically induced quasicrystallographic three-dimensional complex nonlinear photonic lattice structures,” Adv. Mater. 22, 356–360 (2010).

[CrossRef]

J. Xavier, S. Vyas, P. Senthilkumaran, and J. Joseph, “Complex 3D vortex lattice formation by phase-engineered multiple beam interference,” Int. J. Opt. 2012, 863875 (2012).

G. Indbetouw, “Optical vortices and their propagation,” J. Mod. Opt. 40, 73–87 (1993).

[CrossRef]

V. Yu. Bazhenov, M. S. Soskin, and M. V. Vasnetsov, “Screw dislocations in light wavefronts,” J. Mod. Opt. 39, 985–990 (1992).

[CrossRef]

C. Lu and R. H. Lipson, “Interference lithography: a powerful tool for fabricating periodic structures,” Laser Photon. Rev. 4, 568–580 (2010).

[CrossRef]

E. Serabyn, D. Mawet, and R. Burruss, “An image of an exoplanet separated by two diffraction beam widths from a star,” Nature 464, 1018–1020 (2010).

[CrossRef]

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

[CrossRef]

L. G. Wang, L. Q. Wang, and S. Y. Zhu, “Formation of optical vortices using coherent laser beam arrays,” Opt. Commun. 282, 1088–1094 (2009).

[CrossRef]

K. O’Holleran, M. J. Padgett, and M. R. Dennis, “Topology of optical vortex lines formed by the interference of three, four, and five plane waves,” Opt. Express 14, 3039–3044 (2006).

[CrossRef]

V. Arrizón, D. Sánchez de-la-Llave, G. Méndez, and U. Ruiz, “Efficient generation of periodic and quasi-periodic non-diffractive optical fields with phase holograms,” Opt. Express 19, 10553–10562 (2011).

[CrossRef]

P. Senthilkumaran, F. Wyrowski, and H. Schimmel, “Vortex stagnation problem in iterative Fourier transform algorithms,” Opt. Lasers Eng. 43, 43–56 (2005).

[CrossRef]

J. Xavier, S. Vyas, P. Senthilkumaran, C. Denz, and J. Joseph, “Sculptured 3D twister superlattices embedded with tunable vortex spirals,” Opt. Lett. 36, 3512–3514 (2011).

[CrossRef]

D. Buccoliero, A. S. Desyatnikov, W. Krolikowski, and Y. S. Kivshar, “Spiraling multivortex solitons in nonlocal nonlinear media,” Opt. Lett. 33, 198–200 (2008).

[CrossRef]

J. Xavier, P. Rose, B. Terhalle, J. Joseph, and C. Denz, “Three-dimensional optically induced reconfigurable photorefractive nonlinear photonic lattices,” Opt. Lett. 34, 2625–2627 (2009).

[CrossRef]

J. Xavier and J. Joseph, “Tunable complex photonic chiral lattices by reconfigurable optical phase engineering,” Opt. Lett. 36, 403–405 (2011).

[CrossRef]

Y. F. Chen, H. C. Liang, Y. C. Lin, Y. S. Tzeng, K. W. Su, and K. F. Huang, “Generation of optical crystals and quasicrystal beams: Kaleidoscopic patterns and phase singularity,” Phys. Rev. A 83, 053813 (2011).

[CrossRef]

K. J. H. Law, A. Saxena, P. G. Kevrekidis, and A. R. Bishop, “Stable structures with high topological charge in nonlinear photonic quasicrystals,” Phys. Rev. A 82, 035802 (2010).

[CrossRef]

I. Freund and N. Shvartsman, “Wave-field phase singularities: the sign principle,” Phys. Rev. A 50, 5164–5172 (1994).

[CrossRef]

G. Ruben and D. M. Paganin, “Phase vortices from a Young’s three-pinhole interferometer,” Phys. Rev. E 75, 066613 (2007).

[CrossRef]

G. C. G. Berkhout and M. W. Beijersbergen, “Method for probing the orbital angular momentum of optical vortices in electromagnetic waves from astronomical objects,” Phys. Rev. Lett. 101, 100801 (2008).

[CrossRef]

M. Wegener and S. Linden, “Shaping optical space with metamaterials,” Phys. Today 63, 32–36 (2010).

[CrossRef]

J. F. Nye and M. V. Berry, “Dislocations in wave trains,” Proc. R. Soc. A 336, 165–190 (1974).

[CrossRef]

M. R. Dennis, K. O’Holleran, and M. J. Padgett, “Singular optics: optical vortices and polarization singularities,” Prog. Opt. 53, 293–363 (2009).

[CrossRef]

L. Paterson, M. P. MacDonald, J. Arlt, W. Sibbett, P. E. Bryant, and K. Dholakia, “Controlled rotation of optically trapped microscopic particles,” Science 292, 912–914 (2001).

[CrossRef]

D. L. Andrews, Structured Light and Its Applications: An Introduction to Phase-Structured Beams and Nanoscale Optical Forces (Academic, 2008).