Publications

2012

[60] "Reconnections of wave vortex lines,"
M V Berry and M R Dennis,
Eur J Phys 33 (2012) 723-31 EJP page
• [59] "A super-oscillatory lens optical microscope for subwavelength imaging,"
  E T F Rogers, J Lindberg, T Roy, S Savo, J E Chad, M R Dennis, N I Zheludev,
  Nature Materials 11 (2012) 432-5, online doi: 10.1038/NMAT3280

2011

• [58] "Paraxial and nonparaxial polynomial beams and the analytic approach to propagation,"
  Mark R Dennis, Joerg B Goette, Robert P King, Michael A Morgan, Miguel A Alonso,
  Optics Letters 36 (2011) 4452-4 (OL page, arXiv:1108.5906)
• [57] "Relativistic Electron Vortex Beams: Angular Momentum and Spin-Orbit Interaction,"
  Konstantin Y Bliokh, Mark R Dennis, and Franco Nori,
  Physical Review Letters 107 (2011) 174802 (PRL page, arXiv:1105.0331)
• [56] "Fermionic out-of-plane structure of polarization singularities,"
  Mark R Dennis,
  Optics Letters 36 (2011) 3765-7 (OL page, arXiv:1108.5759)
• [55] "Knotted and tangled threads of darkness in light beams,"
  Miles J Padgett, Kevin O'Holleran, Robert P King and Mark R Dennis,
  Contemporary Physics 52 (2011) 265-79 (Taylor & Francis page)
• [54] "All-optical discrete vortex switch,"
  Anton S Desyatnikov, Mark R Dennis and Albert Ferrando,
  Phys Rev A 83 (2011) 063822 (PRA page)
• [53] "Stream function for optical energy flow,"
  M V Berry and M R Dennis,
  Journal of Optics 13 (2011) 064004 (special issue 'Optical Angular Momentum,' IoP page)
• [52] "Weak value distributions for spin 1/2,"
  M V Berry, M R Dennis, B McRoberts and P Shukla,
  J Phys A 44 (2011) 205301 (IoP page)
• [51] "Entangled optical vortex links,"
  J Romero, J Leach, B Jack, M R Dennis, S Franke-Arnold, S M Barnett and M J Padgett,
  Physical Review Letters 106 (2011) 100407 (PRL page)

2010

• [50] "Gaussian random wavefields and the ergodic mode hypothesis,"
  M R Dennis,
  Chapter 4 in New Directions in Linear Acoustics and Vibration: Quantum Chaos, Random Matrix Theory and Complexity, M Wright and R Weaver eds, Cambridge University Press (2010) pp 59-76 (Publisher homepage)
• [49] "Suppression of collapse for spiralling elliptic solitons,"
  Anton S Desyatnikov, Daniel Buccoliero, Mark R Dennis and Yuri S Kivshar
  Physical Review Letters 104 (2010) 053902 (PRL page; download PDF)
• [48] "Isolated optical vortex knots,"
  Mark R Dennis, Robert P King, Barry Jack, Kevin O'Holleran and Miles J Padgett
  Nature Physics 6 (2010) 118-121 (Nature Physics page)

2009

• [47] "Optical vortices,"
  Kevin O'Holleran, Mark R Dennis and Miles J Padgett,
  Chapter 7 in Tutorials in Complex Photonic Media, M Noginov, M W McCall, G Dewar and N I Zheludev eds, SPIE Press, Bellingham WA (2009) pp 118-121 (Publisher homepage)
• [46] "Methodology for imaging the 3D structure of singularities in scalar and vector optical fields,"
  K O'Holleran, F Flossmann, M R Dennis and M J Padgett
  J Opt A: Pure Appl Opt 11 (2009) 094020 (special issue 'Singular Optics,' IOP page; download PDF)
• [45] "On the Burgers vector of a wave dislocation,"
  Mark R Dennis
  J Opt A: Pure Appl Opt 11 (2009) 094002 (special issue 'Singular Optics,' IOP page; download PDF; preprint arxiv:0905.0111 )
• [44] "Singular Optics: More ado about nothing,"
  Mark R Dennis, Yuri S Kivshar, Marat S Soskin and Grover A Swartzlander Jr
  J Opt A: Pure Appl Opt 11 (2009) 090201 (editorial for special issue 'Singular Optics,' IOP page; download PDF)
• [43] "Near integrable systems,"
  E Bogomolny, M R Dennis and R Dubertrand
  J Phys A: Math Theor 42 (2009) 335102 (IOP page; download PDF; preprint arxiv:0902.2089)
• [42] "Singular Optics: Optical Vortices and Polarization Singularities,"
  Mark R Dennis, Kevin O'Holleran and Miles J Padgett
  Progress in Optics 53 (2009) 293-363 (Progess in Optics page; link at Glasgow Optics page)
• [41] "Topology of light's darkness,"
  Kevin O'Holleran, Mark R Dennis and Miles J Padgett
  Physical Review Letters 102 (2009) 143902 (PRL page; download PDF)
• [40] "Density and correlation functions of vortex and saddle points in open billiard systems,"
  R Höhmann, U Kuhl, H-J Stöckmann, J-D Urbina, M R Dennis
  Physical Review E 79 (2009) 016203 (PRE page; download PDF; arxiv preprint 0808.2945)
• [39] "Natural superoscillations in monochromatic waves in D dimensions,"
  M V Berry & M R Dennis,
  Journal of Physics A: Mathematical and Theoretical 42 (2009) 022003 (IOP page, download PDF)

2008

• [38] "Superoscillation in speckle patterns,"
  Mark R Dennis, Alasdair C Hamilton and Johannes Courtial
  Optics Letters 33 (2008) 2976-8 (OL page; download PDF; arxiv preprint 0810.1948)
• [37] "Polarization singularity anisotropy: determining monstardom,"
  Mark R Dennis,
  Optics Letters 33 (2008) 2572-4 (OL page; download PDF; arxiv preprint 0810.2002)
• [36] "Polarization singularities in 2D and 3D speckle fields,"
  Florian Flossmann, Kevin O'Holleran, Mark R Dennis & Miles J Padgett,
  Physical Review Letters 100 (2008) 203902 (PRL page; download PDF)
• [35] "Boundary-condition-varying circle billiards and gratings: the Dirichlet singularity,"
  M V Berry & M R Dennis,
  Journal of Physics A: Mathematical and Theoretical 41 (2008) 135203 (IoP page; download PDF)
• [34] "Fractality of light's darkness,"
  Kevin O'Holleran, Mark R Dennis, Florian Flossmann & Miles J Padgett,
  Physical Review Letters 100 (2008) 053902 (PRL page; download PDF)
• [33] "Probability density of the multipole vectors for a Gaussian cosmic microwave background,"
  Mark R Dennis & Kate Land,
  Monthly Notices of the Royal Astronomical Society 383 (2008) 424-34 (MNRAS page; download PDF; arxiv preprint 0704.3657)

2007

• [32] "Poincare sphere representation for the twist of phase singularities and its application to optical vortex metrology for fluid mechanical analysis,"
  Wei Wang, Mark R Dennis, Reika Ishijima, Tomoaki Yokozeki, Akihiro Matsuda, Mitsuo Takeda & Steen G Hanson,
  Optics Express 15 (2007) 11008-19 (Opt Exp page; download PDF)
• [31] "The plasmon Talbot effect,"
  Mark R Dennis, Nikolay I Zheludev & F Javier Garcia de Abajo,
  Optics Express 15 (2007) 9692-700 (Opt Exp page; download PDF; arxiv preprint 0706.1439)
• [30] "Nodal densities of planar gaussian random waves,"
  M R Dennis,
  European Physical Journal - Special Topics 145 (2007) 191-210 (issue devoted to Chladni's 250th anniversary, EPJ-ST page; download PDF)
• [29] "A three-dimensional degree of polarization based on Rayleigh scattering,"
  Mark R Dennis,
  Journal of the Optical Society of America A 24 (2007) 2065-9 (JOSA A page; download PDF; arxiv preprint physics/0702105)
• [28] "Topological events on wave dislocation lines: birth and death of loops, and reconnection,"
  M V Berry & M R Dennis,
  Journal of Physics A: Mathematical and Theoretical 40 (2007) 65-74 (IoP page; download PDF)

2006

• [27] "Stokes parameters in the unfolding of an optical vortex through a birefringent crystal,"
  Florian Flossmann, Ulrich T Schwarz, Max Maier & Mark R Dennis,
  Optics Express 14 (2006) 11402-11 (OE page; download PDF)
• [26] "Illustrations of optical vortices in three dimensions,"
  Kevin O'Holleran, Mark R Dennis & Miles J Padgett,
  Journal of the European Optical Society - Rapid Publications 1 (2006) 06008 (JEOS:RP page; download PDF)
• [25] "Rows of optical vortices from elliptically perturbing a high-order beam,"
  Mark R Dennis,
  Optics Letters 31 (2006) 1325-7 (OL page, preprint physics/0602066; download PDF)
• [24] "Topology of optical vortex lines formed by the interference of three, four, and five plane waves,"
  Kevin O'Holleran, Miles J Padgett & Mark R Dennis,
  Optics Express 14 (2006) 3039-44 (OE page; download PDF)
• [23] "Angular momentum of optical vortex arrays,"
  Johannes Courtial, Roberta Zambrini, Mark R Dennis & Mikhail Vasnetsov,
  Optics Express 14 (2006) 938-49 (OE page; download PDF)

2005

• [22] "Polarization singularities from unfolding an optical vortex through a birefringent crystal,"
  Florian Flossmann, Ulrich T Schwarz, Max Maier & Mark R Dennis,
  Physical Review Letters 95 (2005) 253901 (PRL page; download PDF)
• [21] "Geometry of Călugăreanu's theorem,"
  M R Dennis & J H Hannay,
  Proceedings of the Royal Society of London A 461 (2005) 3245-54 (Proc A page, preprint math-ph/0503012; download PDF)
• [20] "Vortex knots in light,"
  J Leach, M R Dennis, J Courtial & M J Padgett,
  New Journal of Physics 7 (2005) 55.1-11 (IoP page; preprint physics/0411121; download PDF)
• [19] "Correlations between Maxwell's multipoles for Gaussian random functions on the sphere,"
  M R Dennis,
  Journal of Physics A: Mathematical and General 38 (2005) 1653-8 (IoP page; preprint math-ph/0410004; download PDF)

2004

• [18] "Knotted threads of darkness,"
  Jonathan Leach, Mark R Dennis, Johannes Courtial & Miles J Padgett,
  Nature 432 (2004) 165 (Nature page; download PDF)
• [17] "Polarization singularities in the clear sky,"
  M V Berry, M R Dennis & R L Lee Jr,
  New Journal of Physics 6 (2004) 162.1-14 (IoP page; download PDF)
• [16] "Canonical representation of spherical functions: Sylvester's theorem, Maxwell's multipoles and Majorana's sphere,"
  M R Dennis,
  Journal of Physics A: Mathematical and General 37 (2004) 9487-500 (IoP page; preprint math-ph/0408046; download PDF)
• [15] "Local structure of wave dislocation lines: twist and twirl,"
  M R Dennis,
  Journal of Optics A: Pure and Applied Optics 6 (2004) S202-8 (special issue 'Singular Optics,' IoP page, preprint physics/0309069; download PDF)
• [14] "Quantum cores of optical phase singularities,"
  M V Berry & M R Dennis,
  Journal of Optics A: Pure and Applied Optics 6 (2004) S178-80 (special issue 'Singular Optics,' IoP page; download PDF)
• [13] "The plurality of optical singularities,"
  Michael Berry, Mark Dennis & Marat Soskin,
  Journal of Optics A: Pure and Applied Optics 6 (2004) S155-6 (editorial for special issue 'Singular Optics,' IoP page; download PDF)
• [12] "Geometric interpretation of the 3-dimensional coherence matrix for nonparaxial polarization,"
  M R Dennis,
  Journal of Optics A: Pure and Applied Optics 6 (2004) S26-31 (special issue 'Polarization Optics,' IoP page; preprint physics/0309019; download PDF)
• [11] "Black polarization sandwiches are square roots of zero,"
  M V Berry & M R Dennis,
  Journal of Optics A: Pure and Applied Optics 6 (2004) S24-5 (special issue 'Polarization Optics,' IoP page; download PDF)

2003

• [10] "Braided nodal lines in wave superpositions,"
  M R Dennis,
  New Journal of Physics 5 (2003) 134.1-8 (IoP page, preprint physics/0307139; download PDF)
• [9] "Correlations and screening of topological charges in Gaussian random fields,"
  M R Dennis,
  Journal of Physics A: Mathematical and General 36 (2003) 6611-28 (IoP page; preprint math-ph/0302024; download PDF)
• [8] "The optical singularities of birefringent dichroic chiral crystals,"
  M V Berry & M R Dennis,
  Proceedings of the Royal Society of London A 459 (2003), 1261-92 (Proc A page; download PDF)
• [7] "Saddle points in the chaotic analytic function and Ginibre characteristic polynomial,"
  M R Dennis & J H Hannay,
  Journal of Physics A: Mathematical and General 36 (2003) 3379-84 (special issue 'Random Matrix Theory,' IoP page; preprint nlin.CD/0209056; download PDF)

2002

• [6] "Polarization singularities in paraxial vector fields: morphology and statistics,"
  M R Dennis,
  Optics Communications 213 (2002) 201-21 (Opt Comm page; download PDF)

2001

• [5] "Knotting and unknotting of phase singularities: Helmholtz waves, paraxial waves and waves in 2+1 spacetime,"
  M V Berry & M R Dennis,
  Journal of Physics A: Mathematical and General 34 (2001) 8877-88 (IoP page; download PDF)
• [4] "Knotted and linked phase singularities in monochromatic waves,"
  M V Berry & M R Dennis,
  Proceedings of the Royal Society of London A 457 (2001) 2251-63 (Proc A page; download PDF)
• [3] "Phase critical point densities in planar isotropic random waves,"
  M R Dennis,
  Journal of Physics A: Mathematical and General 34 (2001) L297-L303 (IoP page; download PDF)
• [2] "Polarization singularities in isotropic random vector waves,"
  M V Berry & M R Dennis,
  Proceedings of the Royal Society of London A 457 (2001) 141-55 (Proc A page; download PDF)

2000

• [1] "Phase singularities in isotropic random waves,"
  M V Berry & M R Dennis,
  Proceedings of the Royal Society of London A 456 (2000) 2059-79 (Proc A page; download PDF)

  Submitted

• [s1] "The analogy between optical beam shifts and quantum weak measurements,"
  Mark R Dennis, Joerg B Goette,
  arXiv:1204.0327
• [s2] "Generalized shifts and weak values for polarization components of reflected light beams,"
  Joerg B Goette, Mark R Dennis,
  arXiv:1204.0315
• [s3] "Aberration-like cusped focusing in the post-paraxial Talbot effect,"
  James D Ring, Jari Lindberg, Christopher J Howls & Mark R Dennis,
  arXiv:1204.5994v1

  Other Articles: Conference Proceedings, etc

• [c16] "Probing quantum cores of optical vortices with atoms,"
  Joerg B Goette and Mark R Dennis,
  from talk by J B Goette at Complex Light and Optical Forces V, Photonics West, San Francisco CA, January 2011.
  Published in SPIE Proceedings 6950, D L Andrews, E J Galvez, J Gluckstad eds, article 6950-0U. (SPIE page)
• [c15] "Scalar Goos-Haenchen shift for Robin boundary conditions,"
  Mark R Dennis and Joerg B Goette,
  from invited talk at Complex Light and Optical Forces V, Photonics West, San Francisco CA, January 2011.
  Published in SPIE Proceedings 6950, D L Andrews, E J Galvez, J Gluckstad eds, article 6950-0J. (SPIE page)
• [c14] "Quantum phases: 50 years of the Aharonov-Bohm effect and 25 years of the Berry Phase,"
  Mark Dennis, Sandu Popescu and Lev Vaidman
  J Phys A 43 (2010) 350301, Forward to Special Issue. (IoP page)
• [c13] "Topological configurations of optical phase singularities,"
  M R Dennis
  from invited talk at International Symposium on Topology in Optical Physics, Sapporo, Japan, July 2007.
  Published in Topologica 2 (2009) 007. (Topologica page; download PDF)
• [c12] "Topology of generic polarization singularities in birefringent crystals,"
  U T Schwarz, F Flossmann & M R Dennis
  from invited talk by U T Schwarz at International Symposium on Topology in Optical Physics, Sapporo, Japan, July 2007.
  Published in Topologica 2 (2009) 006. (Topologica page; download PDF)
• [c11] "Natural superoscillation of random functions in one and more dimensions,"
  Mark R Dennis & Jari Lindberg,
  from invited talk at Plasmonics: Metallic Nanostructures and Their Optical Properties VII, SPIE Optics & Photonics, San Diego CA, August 2009.
  Published in SPIE Proceedings 7394, M I Stockman ed, article 73940A. (SPIE page; download PDF)
• [c10] U T Schwarz and M R Dennis, translators of
  "Concerning the path of light upon total reflection," by H Wolter
  J Opt A: Pure Appl Opt 11 (2009) 090401,
  originally published as "Zur Frage des Lichtweges bei totalreflexion," Zeitschrift fur Naturforschung 5a (1950) 278-83,
  (special issue 'Singular Optics,' IOP page; download PDF)
• [c9] "Metamaterials: A cat's eye for all directions,"
  Mark R Dennis,
  Nature Materials News & Views, 8 (2009) 613-4 (Nature Materials page)
• [c8] "Paraxial and non-paraxial self-imaging of band-limited waves,"
  J Lindberg & M R Dennis,
  summary of presentation at Koli Workshop on Partial Electromagnetic Coherence and 3D Polarization, Koli, Finland, May 24-27, 2009.
  Published by University of Joensuu, Department of Physics and Mathematics, Finland, 2009, A T Friberg, J Turunen, J Tervo eds, pp62-3; (download PDF)
• [c7] "Skylight polarization maps and three-dimensional scattering,"
  M R Dennis,
  summary of invited lecture at Koli Workshop on Partial Electromagnetic Coherence and 3D Polarization, Koli, Finland, May 24-27, 2009.
  Published by University of Joensuu, Department of Physics and Mathematics, Finland, 2009, A T Friberg, J Turunen, J Tervo eds, pp36-7; (download PDF)
• [c6] "The fractal shape of speckled darkness,"
  Mark R Dennis, Kevin O'Holleran & Miles J Padgett,
  from invited talk at Complex Light and Optical Forces II, Photonics West, San Jose CA, January 2008.
  Published in SPIE Proceedings 6905, D L Andrews, E J Galvez, & G Nienhuis, eds, article 69050C. (SPIE page; download PDF)
• [c5] "Fluid mechanics measurement based on the anisotropic core structure of pseudophase singularities in analytic signal representation of speckle pattern,"
  Wei Wang, Mark R Dennis, Reika Ishijima, Tomoaki Yokozeki, Akihiro Matsuda, Steen G Hanson & Mitsuo Takeda,
  from talk given by Wei Wang, at Optical Measurement Systems for Industrial Inspection V, Munich, Germany, June 2007.
  Published in SPIE Proceedings 6616, W Osten, C Gorecki, E L Novak eds, article 66160W. (SPIE page; download PDF)
• [c4] "The topology of vortex lines in light beams,"
  M J Padgett, K O'Holleran, J Leach, J Courtial & M R Dennis,
  from invited talk by M J Padgett, in Topology in Ordered Phases: Proceedings of the 1st International Meeting on TOP 2005 Sapporo, Japan 7-10 March 2005, S Tanda, T Matsuyama, M Oda, Y Asano, K Yakubo eds, World Scientific, pp 287-294. (download PDF)
• [c3] "Polarization singularities in paraxial and nonparaxial fields,"
  M R Dennis & M V Berry,
  summary of oral presentation at ICO Topical Meeting on Polarization Optics, Polvijärvi, Finland, June 30-July 3, 2003.
  Published in Department of Physics, Collected Papers 8, 2003, University of Joensuu, Finland, A A Friesem, J Turunen eds, p20; (download PDF)
• [c2] "The singularities of crystal optics,"
  M V Berry & M R Dennis,
  summary of invited lecture by M V Berry at ICO Topical Meeting on Polarization Optics, Polvijärvi, Finland, June 30-July 3, 2003.
  Published in Department of Physics, Collected Papers 8, 2003, University of Joensuu, Finland, A A Friesem, J Turunen eds, pp18-19. (download PDF)
• [c1] "Local Properties and statistics of phase singularities in generic wavefields,"
  Mark Dennis,
  based on an invited lecture given at Singular Optics 2000, Alushta, Crimea, Ukraine, 2-6 October 2000.
  Published in Second International Conference on Singular Optics (Optical Vortices): Fundamentals and Applications, M S Soskin, M V Vasnetsov eds, SPIE Proceedings 4403 (2001) 13-23. (SPIE page; download PDF)

  PhD Thesis

Topological Singularities in Wave Fields, (submitted University of Bristol, November 2001, officially passed March 2002), supervised by Sir Michael Berry. (Download PDF, download errata PDF)

   Legal

The material on these web pages is intended as a scientific resource for the private use of individual scholars. None of it may be used commercially, or for financial gain. Some of the material is protected by copyright. Requests for permission to make public use of any of the papers, or material therein, should be sought from the original publisher, or from Mark Dennis, as appropriate.