Tracking nanoscale electric and magnetic singularities through three-dimensional space

B. le Feber, N. Rotenberg, L. Kuipers, “Nanophotonic countrol of circular dipole emission,” Nat. Commun. 6, 6695 (2015).
[Crossref]

A. de Hoogh, N. Rotenberg, L. Kuipers, “Optical singularities in plasmonic fields near single subwavelength holes,” J. Opt. 16, 114004 (2014).
[Crossref]

BICEP2 Collaboration, “Detection of B-mode polarization at degree angular scales by BICEP2,” Phys. Rev. Lett. 112, 241101 (2014).
[Crossref]

S. Hashiyada, T. Narushima, H. Okamoto, “Local optical activity in achiral two-dimensional gold nanostructures,” J. Phys. Chem. C 118, 22229–22233 (2014).
[Crossref]

N. Rotenberg, L. Kuipers, “Mapping nanoscale light fields,” Nat. Photonics 8, 919–926 (2014), and references therein.

A. Libster-Hershko, I. Epstein, A. Arie, “Rapidly accelerating Mathieu and Weber surface plasmon beams,” Phys. Rev. Lett. 113, 123902 (2014).
[Crossref]

J. Petersen, J. Volz, A. Rauschenbeutel, “Chiral nanophotonic waveguide interface based on spin-orbit interaction of light,” Science 346, 67–71 (2014).
[Crossref]

R. Mitsch, C. Sayrin, B. Albrecht, P. Schneeweiss, A. Rauschenbeutel, “Quantum state-controlled directional spontaneous emission of photons into a nanophotonic waveguide,” Nat. Commun. 5, 5713 (2014).
[Crossref]

M. P. J. Lavery, F. C. Speirits, S. M. Barnett, M. J. Padgett, “Detection of a spinning object using light’s orbital angular momentum,” Science 341, 537–540 (2013).
[Crossref]

B. le Feber, N. Rotenberg, D. M. Beggs, L. Kuipers, “Simultaneous measurement of nanoscale electric and magnetic optical fields,” Nat. Photonics 8, 43–46 (2013).
[Crossref]

H. Kedia, I. Bialynicki-Birula, D. Peralta-Salas, W. T. Irvine, “Tying knots in light fields,” Phys. Rev. Lett. 111, 150404 (2013).
[Crossref]

T. J. Davis, E. Hendry, “Superchiral electromagnetic fields created by surface plasmons in nonchiral metallic nanostructures,” Phys. Rev. B 87, 085405 (2013).

I. Kaminer, R. Bekenstein, J. Nemirovsky, M. Segev, “Nondiffracting accelerating wave packets of Maxwell’s equations,” Phys. Rev. Lett. 108, 163901 (2012).
[Crossref]

X. Cai, J. Wang, M. J. Strain, B. Johnson-Morris, J. Zhu, M. Sorel, J. L. O’Brien, M. G. Thompson, S. Yu, “Integrated compact optical vortex beam emitters,” Science 338, 363–366 (2012).
[Crossref]

A. Minovich, A. E. Klein, N. Januts, T. Pertsch, D. N. Neshev, Y. S. Kivshar, “Generation and near-field imaging of Airy surface plasmons,” Phys. Rev. Lett. 107, 116802 (2011).
[Crossref]

Y. Tang, A. E. Cohen, “Enhanced enantioselectivity in excitation of chiral molecules by superchiral light,” Science 332, 333–336 (2011).
[Crossref]

E. Hendry, T. Carpy, J. Johnston, M. Popland, R. V. Mikhaylovskiy, A. J. Lapthorn, S. M. Kelly, L. D. Barron, N. Gadegaard, M. Kadodwala, “Ultrasensitive detection and characterization of biomolecules using superchiral fields,” Nat. Nanotechnol. 5, 783–787 (2010).
[Crossref]

S. Jia, J. Lee, J. W. Fleischer, G. A. Siviloglou, D. N. Christodoulides, “Diffusion-trapped Airy beams in photorefractive media,” Phys. Rev. Lett. 104, 253904 (2010).
[Crossref]

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

M. Burresi, R. J. P. Engelen, A. Opheij, D. van Oosten, D. Mori, T. Baba, L. Kuipers, “Observation of polarization singularities at the nanoscale,” Phys. Rev. Lett. 102, 033902 (2009).
[Crossref]

W. T. M. Irvine, D. Bouwmeester, “Linked and knotted beams of light,” Nat. Phys. 4, 716–720 (2008).
[Crossref]

R. W. Schoonover, T. D. Visser, “Polarization singularities of focused, radially polarized fields,” Opt. Express 14, 5733–5745 (2006).
[Crossref]

H. Gersen, T. J. Karle, R. J. P. Engelen, W. Bogaerts, J. P. Korterik, N. F. van Hulst, T. F. Krauss, L. Kuipers, “Direct observation of Bloch harmonics and negative phase velocity in photonic crystal waveguides,” Phys. Rev. Lett. 94, 123901 (2005).
[Crossref]

H. F. Schouten, T. D. Visser, G. Gbur, D. Lenstra, H. Blok, “Connection between phase singularities and the radiation pattern of a slit in a metal plate,” Phys. Rev. Lett. 93, 173901 (2004).
[Crossref]

J. Leach, M. R. Dennis, J. Courtial, M. J. Padgett, “Laser beams: knotted threads of darkness,” Nature 432, 165 (2004).
[Crossref]

D. G. Grier, “A revolution in optical manipulation,” Nature 424, 810–816 (2003).
[Crossref]

A. T. O’Neil, I. MacVicar, L. Allen, M. J. Padgett, “Intrinsic and extrinsic nature of the orbital angular momentum of a light beam,” Phys. Rev. Lett. 88, 053601 (2002).
[Crossref]

M. V. Berry, M. R. Dennis, “Polarization singularities in isotropic random vector waves,” Proc. R. Soc. A 457, 141–155 (2001).

S. G. Johnson, J. D. Joannopoulos, “Block-iterative frequency-domain methods for Maxwell’s equations in a planewave basis,” Opt. Express 8, 173–190 (2001).
[Crossref]

M. L. M. Balistreri, J. P. Korterik, L. Kuipers, N. F. van Hulst, “Local observations of phase singularities in optical fields in waveguide structures,” Phys. Rev. Lett. 85, 294–297 (2000).
[Crossref]

H. He, M. E. J. Friese, N. R. Heckenberg, H. Rubinsztein-Dunlop, “Direct observation of transfer of angular momentum to absorptive particles from a laser beam with a phase singularity,” Phys. Rev. Lett. 75, 826–829 (1995).
[Crossref]

R. Mitsch, C. Sayrin, B. Albrecht, P. Schneeweiss, A. Rauschenbeutel, “Quantum state-controlled directional spontaneous emission of photons into a nanophotonic waveguide,” Nat. Commun. 5, 5713 (2014).
[Crossref]

A. T. O’Neil, I. MacVicar, L. Allen, M. J. Padgett, “Intrinsic and extrinsic nature of the orbital angular momentum of a light beam,” Phys. Rev. Lett. 88, 053601 (2002).
[Crossref]

D. L. Andrews, Structured Light and Its Applications (Academic, 2008).

A. Libster-Hershko, I. Epstein, A. Arie, “Rapidly accelerating Mathieu and Weber surface plasmon beams,” Phys. Rev. Lett. 113, 123902 (2014).
[Crossref]

M. Burresi, R. J. P. Engelen, A. Opheij, D. van Oosten, D. Mori, T. Baba, L. Kuipers, “Observation of polarization singularities at the nanoscale,” Phys. Rev. Lett. 102, 033902 (2009).
[Crossref]

M. L. M. Balistreri, J. P. Korterik, L. Kuipers, N. F. van Hulst, “Local observations of phase singularities in optical fields in waveguide structures,” Phys. Rev. Lett. 85, 294–297 (2000).
[Crossref]

M. P. J. Lavery, F. C. Speirits, S. M. Barnett, M. J. Padgett, “Detection of a spinning object using light’s orbital angular momentum,” Science 341, 537–540 (2013).
[Crossref]

E. Hendry, T. Carpy, J. Johnston, M. Popland, R. V. Mikhaylovskiy, A. J. Lapthorn, S. M. Kelly, L. D. Barron, N. Gadegaard, M. Kadodwala, “Ultrasensitive detection and characterization of biomolecules using superchiral fields,” Nat. Nanotechnol. 5, 783–787 (2010).
[Crossref]

B. le Feber, N. Rotenberg, D. M. Beggs, L. Kuipers, “Simultaneous measurement of nanoscale electric and magnetic optical fields,” Nat. Photonics 8, 43–46 (2013).
[Crossref]

A. B. Young, A. Thijssen, D. M. Beggs, L. Kuipers, J. G. Rarity, R. Oulton, “Polarization engineering in photonic crystal waveguides for spin-photon entanglers,” arXiv: 1406.0714 (2014).

I. Kaminer, R. Bekenstein, J. Nemirovsky, M. Segev, “Nondiffracting accelerating wave packets of Maxwell’s equations,” Phys. Rev. Lett. 108, 163901 (2012).
[Crossref]

M. V. Berry, M. R. Dennis, “Polarization singularities in isotropic random vector waves,” Proc. R. Soc. A 457, 141–155 (2001).

H. Kedia, I. Bialynicki-Birula, D. Peralta-Salas, W. T. Irvine, “Tying knots in light fields,” Phys. Rev. Lett. 111, 150404 (2013).
[Crossref]

H. F. Schouten, T. D. Visser, G. Gbur, D. Lenstra, H. Blok, “Connection between phase singularities and the radiation pattern of a slit in a metal plate,” Phys. Rev. Lett. 93, 173901 (2004).
[Crossref]

H. Gersen, T. J. Karle, R. J. P. Engelen, W. Bogaerts, J. P. Korterik, N. F. van Hulst, T. F. Krauss, L. Kuipers, “Direct observation of Bloch harmonics and negative phase velocity in photonic crystal waveguides,” Phys. Rev. Lett. 94, 123901 (2005).
[Crossref]

W. T. M. Irvine, D. Bouwmeester, “Linked and knotted beams of light,” Nat. Phys. 4, 716–720 (2008).
[Crossref]

M. Burresi, R. J. P. Engelen, A. Opheij, D. van Oosten, D. Mori, T. Baba, L. Kuipers, “Observation of polarization singularities at the nanoscale,” Phys. Rev. Lett. 102, 033902 (2009).
[Crossref]

X. Cai, J. Wang, M. J. Strain, B. Johnson-Morris, J. Zhu, M. Sorel, J. L. O’Brien, M. G. Thompson, S. Yu, “Integrated compact optical vortex beam emitters,” Science 338, 363–366 (2012).
[Crossref]

E. Hendry, T. Carpy, J. Johnston, M. Popland, R. V. Mikhaylovskiy, A. J. Lapthorn, S. M. Kelly, L. D. Barron, N. Gadegaard, M. Kadodwala, “Ultrasensitive detection and characterization of biomolecules using superchiral fields,” Nat. Nanotechnol. 5, 783–787 (2010).
[Crossref]

S. Jia, J. Lee, J. W. Fleischer, G. A. Siviloglou, D. N. Christodoulides, “Diffusion-trapped Airy beams in photorefractive media,” Phys. Rev. Lett. 104, 253904 (2010).
[Crossref]

Y. Tang, A. E. Cohen, “Enhanced enantioselectivity in excitation of chiral molecules by superchiral light,” Science 332, 333–336 (2011).
[Crossref]

J. Leach, M. R. Dennis, J. Courtial, M. J. Padgett, “Laser beams: knotted threads of darkness,” Nature 432, 165 (2004).
[Crossref]

T. J. Davis, E. Hendry, “Superchiral electromagnetic fields created by surface plasmons in nonchiral metallic nanostructures,” Phys. Rev. B 87, 085405 (2013).

A. de Hoogh, N. Rotenberg, L. Kuipers, “Optical singularities in plasmonic fields near single subwavelength holes,” J. Opt. 16, 114004 (2014).
[Crossref]

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

J. Leach, M. R. Dennis, J. Courtial, M. J. Padgett, “Laser beams: knotted threads of darkness,” Nature 432, 165 (2004).
[Crossref]

M. V. Berry, M. R. Dennis, “Polarization singularities in isotropic random vector waves,” Proc. R. Soc. A 457, 141–155 (2001).

I. Söllner, S. Mahmoodian, S. L. Hansen, L. Midolo, A. Javadi, G. Kiršanskė, T. Pregnolato, H. El-Ella, E. H. Lee, J. D. Song, S. Stobbe, P. Lodahl, “Deterministic photon-emitter coupling in chiral photonic circuits,” arXiv: 1406.4295 (2015).

M. Burresi, R. J. P. Engelen, A. Opheij, D. van Oosten, D. Mori, T. Baba, L. Kuipers, “Observation of polarization singularities at the nanoscale,” Phys. Rev. Lett. 102, 033902 (2009).
[Crossref]

H. Gersen, T. J. Karle, R. J. P. Engelen, W. Bogaerts, J. P. Korterik, N. F. van Hulst, T. F. Krauss, L. Kuipers, “Direct observation of Bloch harmonics and negative phase velocity in photonic crystal waveguides,” Phys. Rev. Lett. 94, 123901 (2005).
[Crossref]

A. Libster-Hershko, I. Epstein, A. Arie, “Rapidly accelerating Mathieu and Weber surface plasmon beams,” Phys. Rev. Lett. 113, 123902 (2014).
[Crossref]

S. Jia, J. Lee, J. W. Fleischer, G. A. Siviloglou, D. N. Christodoulides, “Diffusion-trapped Airy beams in photorefractive media,” Phys. Rev. Lett. 104, 253904 (2010).
[Crossref]

H. He, M. E. J. Friese, N. R. Heckenberg, H. Rubinsztein-Dunlop, “Direct observation of transfer of angular momentum to absorptive particles from a laser beam with a phase singularity,” Phys. Rev. Lett. 75, 826–829 (1995).
[Crossref]

E. Hendry, T. Carpy, J. Johnston, M. Popland, R. V. Mikhaylovskiy, A. J. Lapthorn, S. M. Kelly, L. D. Barron, N. Gadegaard, M. Kadodwala, “Ultrasensitive detection and characterization of biomolecules using superchiral fields,” Nat. Nanotechnol. 5, 783–787 (2010).
[Crossref]

H. F. Schouten, T. D. Visser, G. Gbur, D. Lenstra, H. Blok, “Connection between phase singularities and the radiation pattern of a slit in a metal plate,” Phys. Rev. Lett. 93, 173901 (2004).
[Crossref]

H. Gersen, T. J. Karle, R. J. P. Engelen, W. Bogaerts, J. P. Korterik, N. F. van Hulst, T. F. Krauss, L. Kuipers, “Direct observation of Bloch harmonics and negative phase velocity in photonic crystal waveguides,” Phys. Rev. Lett. 94, 123901 (2005).
[Crossref]

D. G. Grier, “A revolution in optical manipulation,” Nature 424, 810–816 (2003).
[Crossref]

I. Söllner, S. Mahmoodian, S. L. Hansen, L. Midolo, A. Javadi, G. Kiršanskė, T. Pregnolato, H. El-Ella, E. H. Lee, J. D. Song, S. Stobbe, P. Lodahl, “Deterministic photon-emitter coupling in chiral photonic circuits,” arXiv: 1406.4295 (2015).

S. Hashiyada, T. Narushima, H. Okamoto, “Local optical activity in achiral two-dimensional gold nanostructures,” J. Phys. Chem. C 118, 22229–22233 (2014).
[Crossref]

H. He, M. E. J. Friese, N. R. Heckenberg, H. Rubinsztein-Dunlop, “Direct observation of transfer of angular momentum to absorptive particles from a laser beam with a phase singularity,” Phys. Rev. Lett. 75, 826–829 (1995).
[Crossref]

H. He, M. E. J. Friese, N. R. Heckenberg, H. Rubinsztein-Dunlop, “Direct observation of transfer of angular momentum to absorptive particles from a laser beam with a phase singularity,” Phys. Rev. Lett. 75, 826–829 (1995).
[Crossref]

T. J. Davis, E. Hendry, “Superchiral electromagnetic fields created by surface plasmons in nonchiral metallic nanostructures,” Phys. Rev. B 87, 085405 (2013).

E. Hendry, T. Carpy, J. Johnston, M. Popland, R. V. Mikhaylovskiy, A. J. Lapthorn, S. M. Kelly, L. D. Barron, N. Gadegaard, M. Kadodwala, “Ultrasensitive detection and characterization of biomolecules using superchiral fields,” Nat. Nanotechnol. 5, 783–787 (2010).
[Crossref]

H. Kedia, I. Bialynicki-Birula, D. Peralta-Salas, W. T. Irvine, “Tying knots in light fields,” Phys. Rev. Lett. 111, 150404 (2013).
[Crossref]

W. T. M. Irvine, D. Bouwmeester, “Linked and knotted beams of light,” Nat. Phys. 4, 716–720 (2008).
[Crossref]

A. Minovich, A. E. Klein, N. Januts, T. Pertsch, D. N. Neshev, Y. S. Kivshar, “Generation and near-field imaging of Airy surface plasmons,” Phys. Rev. Lett. 107, 116802 (2011).
[Crossref]

I. Söllner, S. Mahmoodian, S. L. Hansen, L. Midolo, A. Javadi, G. Kiršanskė, T. Pregnolato, H. El-Ella, E. H. Lee, J. D. Song, S. Stobbe, P. Lodahl, “Deterministic photon-emitter coupling in chiral photonic circuits,” arXiv: 1406.4295 (2015).

S. Jia, J. Lee, J. W. Fleischer, G. A. Siviloglou, D. N. Christodoulides, “Diffusion-trapped Airy beams in photorefractive media,” Phys. Rev. Lett. 104, 253904 (2010).
[Crossref]

S. G. Johnson, J. D. Joannopoulos, “Block-iterative frequency-domain methods for Maxwell’s equations in a planewave basis,” Opt. Express 8, 173–190 (2001).
[Crossref]

J. D. Joannopoulos, S. G. Johnson, J. N. Winn, R. D. Meade, Photonic Crystals: Molding the Flow of Light (Princeton University, 2011).

S. G. Johnson, J. D. Joannopoulos, “Block-iterative frequency-domain methods for Maxwell’s equations in a planewave basis,” Opt. Express 8, 173–190 (2001).
[Crossref]

J. D. Joannopoulos, S. G. Johnson, J. N. Winn, R. D. Meade, Photonic Crystals: Molding the Flow of Light (Princeton University, 2011).

X. Cai, J. Wang, M. J. Strain, B. Johnson-Morris, J. Zhu, M. Sorel, J. L. O’Brien, M. G. Thompson, S. Yu, “Integrated compact optical vortex beam emitters,” Science 338, 363–366 (2012).
[Crossref]

E. Hendry, T. Carpy, J. Johnston, M. Popland, R. V. Mikhaylovskiy, A. J. Lapthorn, S. M. Kelly, L. D. Barron, N. Gadegaard, M. Kadodwala, “Ultrasensitive detection and characterization of biomolecules using superchiral fields,” Nat. Nanotechnol. 5, 783–787 (2010).
[Crossref]

E. Hendry, T. Carpy, J. Johnston, M. Popland, R. V. Mikhaylovskiy, A. J. Lapthorn, S. M. Kelly, L. D. Barron, N. Gadegaard, M. Kadodwala, “Ultrasensitive detection and characterization of biomolecules using superchiral fields,” Nat. Nanotechnol. 5, 783–787 (2010).
[Crossref]

I. Kaminer, R. Bekenstein, J. Nemirovsky, M. Segev, “Nondiffracting accelerating wave packets of Maxwell’s equations,” Phys. Rev. Lett. 108, 163901 (2012).
[Crossref]

H. Gersen, T. J. Karle, R. J. P. Engelen, W. Bogaerts, J. P. Korterik, N. F. van Hulst, T. F. Krauss, L. Kuipers, “Direct observation of Bloch harmonics and negative phase velocity in photonic crystal waveguides,” Phys. Rev. Lett. 94, 123901 (2005).
[Crossref]

H. Kedia, I. Bialynicki-Birula, D. Peralta-Salas, W. T. Irvine, “Tying knots in light fields,” Phys. Rev. Lett. 111, 150404 (2013).
[Crossref]

E. Hendry, T. Carpy, J. Johnston, M. Popland, R. V. Mikhaylovskiy, A. J. Lapthorn, S. M. Kelly, L. D. Barron, N. Gadegaard, M. Kadodwala, “Ultrasensitive detection and characterization of biomolecules using superchiral fields,” Nat. Nanotechnol. 5, 783–787 (2010).
[Crossref]

I. Söllner, S. Mahmoodian, S. L. Hansen, L. Midolo, A. Javadi, G. Kiršanskė, T. Pregnolato, H. El-Ella, E. H. Lee, J. D. Song, S. Stobbe, P. Lodahl, “Deterministic photon-emitter coupling in chiral photonic circuits,” arXiv: 1406.4295 (2015).

A. Minovich, A. E. Klein, N. Januts, T. Pertsch, D. N. Neshev, Y. S. Kivshar, “Generation and near-field imaging of Airy surface plasmons,” Phys. Rev. Lett. 107, 116802 (2011).
[Crossref]

A. Minovich, A. E. Klein, N. Januts, T. Pertsch, D. N. Neshev, Y. S. Kivshar, “Generation and near-field imaging of Airy surface plasmons,” Phys. Rev. Lett. 107, 116802 (2011).
[Crossref]

H. Gersen, T. J. Karle, R. J. P. Engelen, W. Bogaerts, J. P. Korterik, N. F. van Hulst, T. F. Krauss, L. Kuipers, “Direct observation of Bloch harmonics and negative phase velocity in photonic crystal waveguides,” Phys. Rev. Lett. 94, 123901 (2005).
[Crossref]

M. L. M. Balistreri, J. P. Korterik, L. Kuipers, N. F. van Hulst, “Local observations of phase singularities in optical fields in waveguide structures,” Phys. Rev. Lett. 85, 294–297 (2000).
[Crossref]

H. Gersen, T. J. Karle, R. J. P. Engelen, W. Bogaerts, J. P. Korterik, N. F. van Hulst, T. F. Krauss, L. Kuipers, “Direct observation of Bloch harmonics and negative phase velocity in photonic crystal waveguides,” Phys. Rev. Lett. 94, 123901 (2005).
[Crossref]

B. le Feber, N. Rotenberg, L. Kuipers, “Nanophotonic countrol of circular dipole emission,” Nat. Commun. 6, 6695 (2015).
[Crossref]

N. Rotenberg, L. Kuipers, “Mapping nanoscale light fields,” Nat. Photonics 8, 919–926 (2014), and references therein.

A. de Hoogh, N. Rotenberg, L. Kuipers, “Optical singularities in plasmonic fields near single subwavelength holes,” J. Opt. 16, 114004 (2014).
[Crossref]

B. le Feber, N. Rotenberg, D. M. Beggs, L. Kuipers, “Simultaneous measurement of nanoscale electric and magnetic optical fields,” Nat. Photonics 8, 43–46 (2013).
[Crossref]

M. Burresi, R. J. P. Engelen, A. Opheij, D. van Oosten, D. Mori, T. Baba, L. Kuipers, “Observation of polarization singularities at the nanoscale,” Phys. Rev. Lett. 102, 033902 (2009).
[Crossref]

H. Gersen, T. J. Karle, R. J. P. Engelen, W. Bogaerts, J. P. Korterik, N. F. van Hulst, T. F. Krauss, L. Kuipers, “Direct observation of Bloch harmonics and negative phase velocity in photonic crystal waveguides,” Phys. Rev. Lett. 94, 123901 (2005).
[Crossref]

M. L. M. Balistreri, J. P. Korterik, L. Kuipers, N. F. van Hulst, “Local observations of phase singularities in optical fields in waveguide structures,” Phys. Rev. Lett. 85, 294–297 (2000).
[Crossref]

A. B. Young, A. Thijssen, D. M. Beggs, L. Kuipers, J. G. Rarity, R. Oulton, “Polarization engineering in photonic crystal waveguides for spin-photon entanglers,” arXiv: 1406.0714 (2014).

E. Hendry, T. Carpy, J. Johnston, M. Popland, R. V. Mikhaylovskiy, A. J. Lapthorn, S. M. Kelly, L. D. Barron, N. Gadegaard, M. Kadodwala, “Ultrasensitive detection and characterization of biomolecules using superchiral fields,” Nat. Nanotechnol. 5, 783–787 (2010).
[Crossref]

M. P. J. Lavery, F. C. Speirits, S. M. Barnett, M. J. Padgett, “Detection of a spinning object using light’s orbital angular momentum,” Science 341, 537–540 (2013).
[Crossref]

B. le Feber, N. Rotenberg, L. Kuipers, “Nanophotonic countrol of circular dipole emission,” Nat. Commun. 6, 6695 (2015).
[Crossref]

B. le Feber, N. Rotenberg, D. M. Beggs, L. Kuipers, “Simultaneous measurement of nanoscale electric and magnetic optical fields,” Nat. Photonics 8, 43–46 (2013).
[Crossref]

J. Leach, M. R. Dennis, J. Courtial, M. J. Padgett, “Laser beams: knotted threads of darkness,” Nature 432, 165 (2004).
[Crossref]

I. Söllner, S. Mahmoodian, S. L. Hansen, L. Midolo, A. Javadi, G. Kiršanskė, T. Pregnolato, H. El-Ella, E. H. Lee, J. D. Song, S. Stobbe, P. Lodahl, “Deterministic photon-emitter coupling in chiral photonic circuits,” arXiv: 1406.4295 (2015).

S. Jia, J. Lee, J. W. Fleischer, G. A. Siviloglou, D. N. Christodoulides, “Diffusion-trapped Airy beams in photorefractive media,” Phys. Rev. Lett. 104, 253904 (2010).
[Crossref]

H. F. Schouten, T. D. Visser, G. Gbur, D. Lenstra, H. Blok, “Connection between phase singularities and the radiation pattern of a slit in a metal plate,” Phys. Rev. Lett. 93, 173901 (2004).
[Crossref]

A. Libster-Hershko, I. Epstein, A. Arie, “Rapidly accelerating Mathieu and Weber surface plasmon beams,” Phys. Rev. Lett. 113, 123902 (2014).
[Crossref]

I. Söllner, S. Mahmoodian, S. L. Hansen, L. Midolo, A. Javadi, G. Kiršanskė, T. Pregnolato, H. El-Ella, E. H. Lee, J. D. Song, S. Stobbe, P. Lodahl, “Deterministic photon-emitter coupling in chiral photonic circuits,” arXiv: 1406.4295 (2015).

A. T. O’Neil, I. MacVicar, L. Allen, M. J. Padgett, “Intrinsic and extrinsic nature of the orbital angular momentum of a light beam,” Phys. Rev. Lett. 88, 053601 (2002).
[Crossref]

I. Söllner, S. Mahmoodian, S. L. Hansen, L. Midolo, A. Javadi, G. Kiršanskė, T. Pregnolato, H. El-Ella, E. H. Lee, J. D. Song, S. Stobbe, P. Lodahl, “Deterministic photon-emitter coupling in chiral photonic circuits,” arXiv: 1406.4295 (2015).

J. D. Joannopoulos, S. G. Johnson, J. N. Winn, R. D. Meade, Photonic Crystals: Molding the Flow of Light (Princeton University, 2011).

I. Söllner, S. Mahmoodian, S. L. Hansen, L. Midolo, A. Javadi, G. Kiršanskė, T. Pregnolato, H. El-Ella, E. H. Lee, J. D. Song, S. Stobbe, P. Lodahl, “Deterministic photon-emitter coupling in chiral photonic circuits,” arXiv: 1406.4295 (2015).

E. Hendry, T. Carpy, J. Johnston, M. Popland, R. V. Mikhaylovskiy, A. J. Lapthorn, S. M. Kelly, L. D. Barron, N. Gadegaard, M. Kadodwala, “Ultrasensitive detection and characterization of biomolecules using superchiral fields,” Nat. Nanotechnol. 5, 783–787 (2010).
[Crossref]

A. Minovich, A. E. Klein, N. Januts, T. Pertsch, D. N. Neshev, Y. S. Kivshar, “Generation and near-field imaging of Airy surface plasmons,” Phys. Rev. Lett. 107, 116802 (2011).
[Crossref]

R. Mitsch, C. Sayrin, B. Albrecht, P. Schneeweiss, A. Rauschenbeutel, “Quantum state-controlled directional spontaneous emission of photons into a nanophotonic waveguide,” Nat. Commun. 5, 5713 (2014).
[Crossref]

M. Burresi, R. J. P. Engelen, A. Opheij, D. van Oosten, D. Mori, T. Baba, L. Kuipers, “Observation of polarization singularities at the nanoscale,” Phys. Rev. Lett. 102, 033902 (2009).
[Crossref]

S. Hashiyada, T. Narushima, H. Okamoto, “Local optical activity in achiral two-dimensional gold nanostructures,” J. Phys. Chem. C 118, 22229–22233 (2014).
[Crossref]

I. Kaminer, R. Bekenstein, J. Nemirovsky, M. Segev, “Nondiffracting accelerating wave packets of Maxwell’s equations,” Phys. Rev. Lett. 108, 163901 (2012).
[Crossref]

A. Minovich, A. E. Klein, N. Januts, T. Pertsch, D. N. Neshev, Y. S. Kivshar, “Generation and near-field imaging of Airy surface plasmons,” Phys. Rev. Lett. 107, 116802 (2011).
[Crossref]

J. F. Nye, Natural Focusing and Fine Structure of Light: Caustics and Wave Dislocations (CRC Press, 1999).

X. Cai, J. Wang, M. J. Strain, B. Johnson-Morris, J. Zhu, M. Sorel, J. L. O’Brien, M. G. Thompson, S. Yu, “Integrated compact optical vortex beam emitters,” Science 338, 363–366 (2012).
[Crossref]

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

A. T. O’Neil, I. MacVicar, L. Allen, M. J. Padgett, “Intrinsic and extrinsic nature of the orbital angular momentum of a light beam,” Phys. Rev. Lett. 88, 053601 (2002).
[Crossref]

S. Hashiyada, T. Narushima, H. Okamoto, “Local optical activity in achiral two-dimensional gold nanostructures,” J. Phys. Chem. C 118, 22229–22233 (2014).
[Crossref]

M. Burresi, R. J. P. Engelen, A. Opheij, D. van Oosten, D. Mori, T. Baba, L. Kuipers, “Observation of polarization singularities at the nanoscale,” Phys. Rev. Lett. 102, 033902 (2009).
[Crossref]

A. B. Young, A. Thijssen, D. M. Beggs, L. Kuipers, J. G. Rarity, R. Oulton, “Polarization engineering in photonic crystal waveguides for spin-photon entanglers,” arXiv: 1406.0714 (2014).

M. P. J. Lavery, F. C. Speirits, S. M. Barnett, M. J. Padgett, “Detection of a spinning object using light’s orbital angular momentum,” Science 341, 537–540 (2013).
[Crossref]

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

J. Leach, M. R. Dennis, J. Courtial, M. J. Padgett, “Laser beams: knotted threads of darkness,” Nature 432, 165 (2004).
[Crossref]

A. T. O’Neil, I. MacVicar, L. Allen, M. J. Padgett, “Intrinsic and extrinsic nature of the orbital angular momentum of a light beam,” Phys. Rev. Lett. 88, 053601 (2002).
[Crossref]

H. Kedia, I. Bialynicki-Birula, D. Peralta-Salas, W. T. Irvine, “Tying knots in light fields,” Phys. Rev. Lett. 111, 150404 (2013).
[Crossref]

A. Minovich, A. E. Klein, N. Januts, T. Pertsch, D. N. Neshev, Y. S. Kivshar, “Generation and near-field imaging of Airy surface plasmons,” Phys. Rev. Lett. 107, 116802 (2011).
[Crossref]

J. Petersen, J. Volz, A. Rauschenbeutel, “Chiral nanophotonic waveguide interface based on spin-orbit interaction of light,” Science 346, 67–71 (2014).
[Crossref]

E. Hendry, T. Carpy, J. Johnston, M. Popland, R. V. Mikhaylovskiy, A. J. Lapthorn, S. M. Kelly, L. D. Barron, N. Gadegaard, M. Kadodwala, “Ultrasensitive detection and characterization of biomolecules using superchiral fields,” Nat. Nanotechnol. 5, 783–787 (2010).
[Crossref]

I. Söllner, S. Mahmoodian, S. L. Hansen, L. Midolo, A. Javadi, G. Kiršanskė, T. Pregnolato, H. El-Ella, E. H. Lee, J. D. Song, S. Stobbe, P. Lodahl, “Deterministic photon-emitter coupling in chiral photonic circuits,” arXiv: 1406.4295 (2015).

A. B. Young, A. Thijssen, D. M. Beggs, L. Kuipers, J. G. Rarity, R. Oulton, “Polarization engineering in photonic crystal waveguides for spin-photon entanglers,” arXiv: 1406.0714 (2014).

R. Mitsch, C. Sayrin, B. Albrecht, P. Schneeweiss, A. Rauschenbeutel, “Quantum state-controlled directional spontaneous emission of photons into a nanophotonic waveguide,” Nat. Commun. 5, 5713 (2014).
[Crossref]

J. Petersen, J. Volz, A. Rauschenbeutel, “Chiral nanophotonic waveguide interface based on spin-orbit interaction of light,” Science 346, 67–71 (2014).
[Crossref]

B. le Feber, N. Rotenberg, L. Kuipers, “Nanophotonic countrol of circular dipole emission,” Nat. Commun. 6, 6695 (2015).
[Crossref]

N. Rotenberg, L. Kuipers, “Mapping nanoscale light fields,” Nat. Photonics 8, 919–926 (2014), and references therein.

A. de Hoogh, N. Rotenberg, L. Kuipers, “Optical singularities in plasmonic fields near single subwavelength holes,” J. Opt. 16, 114004 (2014).
[Crossref]

B. le Feber, N. Rotenberg, D. M. Beggs, L. Kuipers, “Simultaneous measurement of nanoscale electric and magnetic optical fields,” Nat. Photonics 8, 43–46 (2013).
[Crossref]

H. He, M. E. J. Friese, N. R. Heckenberg, H. Rubinsztein-Dunlop, “Direct observation of transfer of angular momentum to absorptive particles from a laser beam with a phase singularity,” Phys. Rev. Lett. 75, 826–829 (1995).
[Crossref]

R. Mitsch, C. Sayrin, B. Albrecht, P. Schneeweiss, A. Rauschenbeutel, “Quantum state-controlled directional spontaneous emission of photons into a nanophotonic waveguide,” Nat. Commun. 5, 5713 (2014).
[Crossref]

R. Mitsch, C. Sayrin, B. Albrecht, P. Schneeweiss, A. Rauschenbeutel, “Quantum state-controlled directional spontaneous emission of photons into a nanophotonic waveguide,” Nat. Commun. 5, 5713 (2014).
[Crossref]

R. W. Schoonover, T. D. Visser, “Polarization singularities of focused, radially polarized fields,” Opt. Express 14, 5733–5745 (2006).
[Crossref]

H. F. Schouten, T. D. Visser, G. Gbur, D. Lenstra, H. Blok, “Connection between phase singularities and the radiation pattern of a slit in a metal plate,” Phys. Rev. Lett. 93, 173901 (2004).
[Crossref]

I. Kaminer, R. Bekenstein, J. Nemirovsky, M. Segev, “Nondiffracting accelerating wave packets of Maxwell’s equations,” Phys. Rev. Lett. 108, 163901 (2012).
[Crossref]

S. Jia, J. Lee, J. W. Fleischer, G. A. Siviloglou, D. N. Christodoulides, “Diffusion-trapped Airy beams in photorefractive media,” Phys. Rev. Lett. 104, 253904 (2010).
[Crossref]

I. Söllner, S. Mahmoodian, S. L. Hansen, L. Midolo, A. Javadi, G. Kiršanskė, T. Pregnolato, H. El-Ella, E. H. Lee, J. D. Song, S. Stobbe, P. Lodahl, “Deterministic photon-emitter coupling in chiral photonic circuits,” arXiv: 1406.4295 (2015).

I. Söllner, S. Mahmoodian, S. L. Hansen, L. Midolo, A. Javadi, G. Kiršanskė, T. Pregnolato, H. El-Ella, E. H. Lee, J. D. Song, S. Stobbe, P. Lodahl, “Deterministic photon-emitter coupling in chiral photonic circuits,” arXiv: 1406.4295 (2015).

X. Cai, J. Wang, M. J. Strain, B. Johnson-Morris, J. Zhu, M. Sorel, J. L. O’Brien, M. G. Thompson, S. Yu, “Integrated compact optical vortex beam emitters,” Science 338, 363–366 (2012).
[Crossref]

M. P. J. Lavery, F. C. Speirits, S. M. Barnett, M. J. Padgett, “Detection of a spinning object using light’s orbital angular momentum,” Science 341, 537–540 (2013).
[Crossref]

I. Söllner, S. Mahmoodian, S. L. Hansen, L. Midolo, A. Javadi, G. Kiršanskė, T. Pregnolato, H. El-Ella, E. H. Lee, J. D. Song, S. Stobbe, P. Lodahl, “Deterministic photon-emitter coupling in chiral photonic circuits,” arXiv: 1406.4295 (2015).

X. Cai, J. Wang, M. J. Strain, B. Johnson-Morris, J. Zhu, M. Sorel, J. L. O’Brien, M. G. Thompson, S. Yu, “Integrated compact optical vortex beam emitters,” Science 338, 363–366 (2012).
[Crossref]

Y. Tang, A. E. Cohen, “Enhanced enantioselectivity in excitation of chiral molecules by superchiral light,” Science 332, 333–336 (2011).
[Crossref]

A. B. Young, A. Thijssen, D. M. Beggs, L. Kuipers, J. G. Rarity, R. Oulton, “Polarization engineering in photonic crystal waveguides for spin-photon entanglers,” arXiv: 1406.0714 (2014).

X. Cai, J. Wang, M. J. Strain, B. Johnson-Morris, J. Zhu, M. Sorel, J. L. O’Brien, M. G. Thompson, S. Yu, “Integrated compact optical vortex beam emitters,” Science 338, 363–366 (2012).
[Crossref]

H. Gersen, T. J. Karle, R. J. P. Engelen, W. Bogaerts, J. P. Korterik, N. F. van Hulst, T. F. Krauss, L. Kuipers, “Direct observation of Bloch harmonics and negative phase velocity in photonic crystal waveguides,” Phys. Rev. Lett. 94, 123901 (2005).
[Crossref]

M. L. M. Balistreri, J. P. Korterik, L. Kuipers, N. F. van Hulst, “Local observations of phase singularities in optical fields in waveguide structures,” Phys. Rev. Lett. 85, 294–297 (2000).
[Crossref]

M. Burresi, R. J. P. Engelen, A. Opheij, D. van Oosten, D. Mori, T. Baba, L. Kuipers, “Observation of polarization singularities at the nanoscale,” Phys. Rev. Lett. 102, 033902 (2009).
[Crossref]

R. W. Schoonover, T. D. Visser, “Polarization singularities of focused, radially polarized fields,” Opt. Express 14, 5733–5745 (2006).
[Crossref]

H. F. Schouten, T. D. Visser, G. Gbur, D. Lenstra, H. Blok, “Connection between phase singularities and the radiation pattern of a slit in a metal plate,” Phys. Rev. Lett. 93, 173901 (2004).
[Crossref]

J. Petersen, J. Volz, A. Rauschenbeutel, “Chiral nanophotonic waveguide interface based on spin-orbit interaction of light,” Science 346, 67–71 (2014).
[Crossref]

X. Cai, J. Wang, M. J. Strain, B. Johnson-Morris, J. Zhu, M. Sorel, J. L. O’Brien, M. G. Thompson, S. Yu, “Integrated compact optical vortex beam emitters,” Science 338, 363–366 (2012).
[Crossref]

J. D. Joannopoulos, S. G. Johnson, J. N. Winn, R. D. Meade, Photonic Crystals: Molding the Flow of Light (Princeton University, 2011).

A. B. Young, A. Thijssen, D. M. Beggs, L. Kuipers, J. G. Rarity, R. Oulton, “Polarization engineering in photonic crystal waveguides for spin-photon entanglers,” arXiv: 1406.0714 (2014).

X. Cai, J. Wang, M. J. Strain, B. Johnson-Morris, J. Zhu, M. Sorel, J. L. O’Brien, M. G. Thompson, S. Yu, “Integrated compact optical vortex beam emitters,” Science 338, 363–366 (2012).
[Crossref]

X. Cai, J. Wang, M. J. Strain, B. Johnson-Morris, J. Zhu, M. Sorel, J. L. O’Brien, M. G. Thompson, S. Yu, “Integrated compact optical vortex beam emitters,” Science 338, 363–366 (2012).
[Crossref]

A. de Hoogh, N. Rotenberg, L. Kuipers, “Optical singularities in plasmonic fields near single subwavelength holes,” J. Opt. 16, 114004 (2014).
[Crossref]

S. Hashiyada, T. Narushima, H. Okamoto, “Local optical activity in achiral two-dimensional gold nanostructures,” J. Phys. Chem. C 118, 22229–22233 (2014).
[Crossref]

R. Mitsch, C. Sayrin, B. Albrecht, P. Schneeweiss, A. Rauschenbeutel, “Quantum state-controlled directional spontaneous emission of photons into a nanophotonic waveguide,” Nat. Commun. 5, 5713 (2014).
[Crossref]

B. le Feber, N. Rotenberg, L. Kuipers, “Nanophotonic countrol of circular dipole emission,” Nat. Commun. 6, 6695 (2015).
[Crossref]

E. Hendry, T. Carpy, J. Johnston, M. Popland, R. V. Mikhaylovskiy, A. J. Lapthorn, S. M. Kelly, L. D. Barron, N. Gadegaard, M. Kadodwala, “Ultrasensitive detection and characterization of biomolecules using superchiral fields,” Nat. Nanotechnol. 5, 783–787 (2010).
[Crossref]

N. Rotenberg, L. Kuipers, “Mapping nanoscale light fields,” Nat. Photonics 8, 919–926 (2014), and references therein.

B. le Feber, N. Rotenberg, D. M. Beggs, L. Kuipers, “Simultaneous measurement of nanoscale electric and magnetic optical fields,” Nat. Photonics 8, 43–46 (2013).
[Crossref]

W. T. M. Irvine, D. Bouwmeester, “Linked and knotted beams of light,” Nat. Phys. 4, 716–720 (2008).
[Crossref]

D. G. Grier, “A revolution in optical manipulation,” Nature 424, 810–816 (2003).
[Crossref]

J. Leach, M. R. Dennis, J. Courtial, M. J. Padgett, “Laser beams: knotted threads of darkness,” Nature 432, 165 (2004).
[Crossref]

R. W. Schoonover, T. D. Visser, “Polarization singularities of focused, radially polarized fields,” Opt. Express 14, 5733–5745 (2006).
[Crossref]

S. G. Johnson, J. D. Joannopoulos, “Block-iterative frequency-domain methods for Maxwell’s equations in a planewave basis,” Opt. Express 8, 173–190 (2001).
[Crossref]

T. J. Davis, E. Hendry, “Superchiral electromagnetic fields created by surface plasmons in nonchiral metallic nanostructures,” Phys. Rev. B 87, 085405 (2013).

BICEP2 Collaboration, “Detection of B-mode polarization at degree angular scales by BICEP2,” Phys. Rev. Lett. 112, 241101 (2014).
[Crossref]

H. F. Schouten, T. D. Visser, G. Gbur, D. Lenstra, H. Blok, “Connection between phase singularities and the radiation pattern of a slit in a metal plate,” Phys. Rev. Lett. 93, 173901 (2004).
[Crossref]

H. Gersen, T. J. Karle, R. J. P. Engelen, W. Bogaerts, J. P. Korterik, N. F. van Hulst, T. F. Krauss, L. Kuipers, “Direct observation of Bloch harmonics and negative phase velocity in photonic crystal waveguides,” Phys. Rev. Lett. 94, 123901 (2005).
[Crossref]

A. Minovich, A. E. Klein, N. Januts, T. Pertsch, D. N. Neshev, Y. S. Kivshar, “Generation and near-field imaging of Airy surface plasmons,” Phys. Rev. Lett. 107, 116802 (2011).
[Crossref]

A. Libster-Hershko, I. Epstein, A. Arie, “Rapidly accelerating Mathieu and Weber surface plasmon beams,” Phys. Rev. Lett. 113, 123902 (2014).
[Crossref]

M. L. M. Balistreri, J. P. Korterik, L. Kuipers, N. F. van Hulst, “Local observations of phase singularities in optical fields in waveguide structures,” Phys. Rev. Lett. 85, 294–297 (2000).
[Crossref]

M. Burresi, R. J. P. Engelen, A. Opheij, D. van Oosten, D. Mori, T. Baba, L. Kuipers, “Observation of polarization singularities at the nanoscale,” Phys. Rev. Lett. 102, 033902 (2009).
[Crossref]

A. T. O’Neil, I. MacVicar, L. Allen, M. J. Padgett, “Intrinsic and extrinsic nature of the orbital angular momentum of a light beam,” Phys. Rev. Lett. 88, 053601 (2002).
[Crossref]

H. He, M. E. J. Friese, N. R. Heckenberg, H. Rubinsztein-Dunlop, “Direct observation of transfer of angular momentum to absorptive particles from a laser beam with a phase singularity,” Phys. Rev. Lett. 75, 826–829 (1995).
[Crossref]

H. Kedia, I. Bialynicki-Birula, D. Peralta-Salas, W. T. Irvine, “Tying knots in light fields,” Phys. Rev. Lett. 111, 150404 (2013).
[Crossref]

S. Jia, J. Lee, J. W. Fleischer, G. A. Siviloglou, D. N. Christodoulides, “Diffusion-trapped Airy beams in photorefractive media,” Phys. Rev. Lett. 104, 253904 (2010).
[Crossref]

I. Kaminer, R. Bekenstein, J. Nemirovsky, M. Segev, “Nondiffracting accelerating wave packets of Maxwell’s equations,” Phys. Rev. Lett. 108, 163901 (2012).
[Crossref]

M. V. Berry, M. R. Dennis, “Polarization singularities in isotropic random vector waves,” Proc. R. Soc. A 457, 141–155 (2001).

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

J. Petersen, J. Volz, A. Rauschenbeutel, “Chiral nanophotonic waveguide interface based on spin-orbit interaction of light,” Science 346, 67–71 (2014).
[Crossref]

X. Cai, J. Wang, M. J. Strain, B. Johnson-Morris, J. Zhu, M. Sorel, J. L. O’Brien, M. G. Thompson, S. Yu, “Integrated compact optical vortex beam emitters,” Science 338, 363–366 (2012).
[Crossref]

M. P. J. Lavery, F. C. Speirits, S. M. Barnett, M. J. Padgett, “Detection of a spinning object using light’s orbital angular momentum,” Science 341, 537–540 (2013).
[Crossref]

Y. Tang, A. E. Cohen, “Enhanced enantioselectivity in excitation of chiral molecules by superchiral light,” Science 332, 333–336 (2011).
[Crossref]

J. D. Joannopoulos, S. G. Johnson, J. N. Winn, R. D. Meade, Photonic Crystals: Molding the Flow of Light (Princeton University, 2011).

A. B. Young, A. Thijssen, D. M. Beggs, L. Kuipers, J. G. Rarity, R. Oulton, “Polarization engineering in photonic crystal waveguides for spin-photon entanglers,” arXiv: 1406.0714 (2014).

I. Söllner, S. Mahmoodian, S. L. Hansen, L. Midolo, A. Javadi, G. Kiršanskė, T. Pregnolato, H. El-Ella, E. H. Lee, J. D. Song, S. Stobbe, P. Lodahl, “Deterministic photon-emitter coupling in chiral photonic circuits,” arXiv: 1406.4295 (2015).

J. F. Nye, Natural Focusing and Fine Structure of Light: Caustics and Wave Dislocations (CRC Press, 1999).

D. L. Andrews, Structured Light and Its Applications (Academic, 2008).