Mark R. Dennis

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All published works

Action	Title	Year	Authors
+ PDF Chat	Stochastic Stokes origami: folds, cusps and skyrmionic facets in random polarisation fields	2024	Kerr Maxwell Mark R. Dennis
+ PDF Chat	Optical momentum distributions in monochromatic, isotropic random vector fields	2024	Titouan Gadeyne Mark R. Dennis
+ PDF Chat	Ray and caustic structure of Ince-Gauss beams	2023	Rodrigo Gutiérrez–Cuevas Mark R. Dennis Miguel A. Alonso
+ PDF Chat	Roadmap on structured waves	2023	Konstantin Y. Bliokh Ebrahim Karimi Miles J. Padgett Miguel A. Alonso Mark R. Dennis Angela Dudley Andrew Forbes S. Zahedpour Scott W Hancock H. M. Milchberg
+	3D zeros in electromagnetic fields	2023	Alex J. Vernon Mark R. Dennis Francisco J. Rodríguez‐Fortuño
+ PDF Chat	Exactly solvable model behind Bose-Hubbard dimers, Ince-Gauss beams, and aberrated optical cavities	2023	Rodrigo Gutiérrez–Cuevas D. H. J. O’Dell Mark R. Dennis Miguel A. Alonso
+ PDF Chat	On the Majorana representation of the optical Dirac equation	2023	Mark R. Dennis Teuntje Tijssen Michael A. Morgan
+	3D Zeros in Electromagnetic Fields	2023	Alex J. Vernon Mark R. Dennis Francisco J. Rodríguez‐Fortuño
+	Roadmap on structured waves	2023	K. Y. Bliokh Ebrahim Karimi Miles J. Padgett Miguel A. Alonso Mark R. Dennis Angela Dudley Andrew Forbes S. Zahedpour S. W. Hancock H. M. Milchberg
+	Optical momentum distributions in monochromatic, isotropic random vector fields	2023	Titouan Gadeyne Mark R. Dennis
+	Ray and caustic structure of Ince-Gauss beams	2023	Rodrigo Gutiérrez–Cuevas Mark R. Dennis Miguel A. Alonso
+ PDF Chat	Optical excitations of Skyrmions, knotted solitons, and defects in atoms	2022	C. D. Parmee Mark R. Dennis Janne Ruostekoski
+ PDF Chat	The geometric phase made simple	2022	Miguel A. Alonso Mark R. Dennis
+	On the Majorana representation of the optical Dirac equation	2022	Mark R. Dennis Teuntje Tijssen Michael M. Morgan
+ PDF Chat	Particle-like topologies in light	2021	Danica Sugic Ramon Droop Eileen Otte Daniel Ehrmanntraut Franco Nori Janne Ruostekoski Cornelia Denz Mark R. Dennis
+	Knot probabilities in equilateral random polygons	2021	Ao Xiong A. J. Taylor Mark R. Dennis S G Whittington
+	Particle-like topologies in light	2021	Danica Sugic Ramon Droop Eileen Otte Daniel Ehrmanntraut Franco Nori Janne Ruostekoski Cornelia Denz Mark R. Dennis
+	Emulating a many-body topological transition with an aberrated optical cavity	2021	Rodrigo Gutiérrez–Cuevas D. H. J. O’Dell Mark R. Dennis Miguel A. Alonso
+ PDF Chat	Knotted polarizations and spin in three-dimensional polychromatic waves	2020	Danica Sugic Mark R. Dennis Franco Nori Konstantin Y. Bliokh
+	The groups (2, 𝑚 \| 𝑛, 𝑘 \| 1, 𝑞): Finiteness and homotopy	2020	Edward Bennett Mark R. Dennis Martin Edjvet
+ PDF Chat	Shaping caustics into propagation-invariant light	2020	Alessandro Zannotti Cornelia Denz Miguel A. Alonso Mark R. Dennis
+ PDF Chat	Knotting and weak knotting in confined, open random walks using virtual knots	2019	Keith Alexander A. J. Taylor Mark R. Dennis
+ PDF Chat	Geometric phases in 2D and 3D polarized fields: geometrical, dynamical, and topological aspects	2019	Konstantin Y. Bliokh Miguel A. Alonso Mark R. Dennis
+ PDF Chat	Generalized Gaussian beams in terms of Jones vectors	2019	Rodrigo Gutiérrez–Cuevas Mark R. Dennis Miguel A. Alonso
+ PDF Chat	Constructing a polynomial whose nodal set is any prescribed knot or link	2018	Benjamin Bode Mark R. Dennis
+ PDF Chat	Singular knot bundle in light	2018	Danica Sugic Mark R. Dennis
+ PDF Chat	Measuring Geometric Phase without Interferometry	2018	Tanya Malhotra Rodrigo Gutiérrez–Cuevas J. Hassett Mark R. Dennis A. Nick Vamivakas Miguel A. Alonso
+	Composite Skyrmion bags in two-dimensional materials	2018	David Foster Charles Kind Paul J. Ackerman Jung‐Shen B. Tai Mark R. Dennis Ivan I. Smalyukh
+ PDF Chat	Measuring Geometric Phase Without Interferometry	2018	Rodrigo Gutiérrez–Cuevas Tanya Malhotra J. Hassett Mark R. Dennis A. Nick Vamivakas Miguel A. Alonso
+ PDF Chat	Position, spin, and orbital angular momentum of a relativistic electron	2017	Konstantin Y. Bliokh Mark R. Dennis Franco Nori
+	On a family of quotients of the von Dyck groups	2017	Mark R. Dennis
+ PDF Chat	Knotted fields and explicit fibrations for lemniscate knots	2017	Benjamin Bode Mark R. Dennis David Foster Robert P. King
+	Ray-optical Poincaré sphere for structured Gaussian beams	2017	Miguel A. Alonso Mark R. Dennis
+ PDF Chat	Constructing a polynomial whose nodal set is the three-twist knot 5<sub>2</sub>	2017	Mark R. Dennis Benjamin Bode
+	Virtual knotting in proteins and other open curves	2017	Keith N. A. Alexander A. Malcolm R. Taylor Mark R. Dennis
+ PDF Chat	A random wave model for the Aharonov–Bohm effect	2017	Alexander J H Houston Martin Gradhand Mark R. Dennis
+ PDF Chat	Proteins analysed as virtual knots	2017	Keith Alexander A. J. Taylor Mark R. Dennis
+ PDF Chat	Swings and roundabouts: optical Poincaré spheres for polarization and Gaussian beams	2017	Mark R. Dennis Miguel A. Alonso
+ PDF Chat	Weaving Knotted Vector Fields with Tunable Helicity	2016	Hridesh Kedia David Foster Mark R. Dennis William T. M. Irvine
+	Constructing a polynomial whose nodal set is any prescribed knot or link	2016	Benjamin Bode Mark R. Dennis
+ PDF Chat	Roadmap on structured light	2016	Halina Rubinsztein‐Dunlop Andrew Forbes Michael Berry Mark R. Dennis Davıd L. Andrews Masud Mansuripur Cornelia Denz Christina Alpmann Peter Banzer Thomas Bauer
+	Proteins analysed as virtual knots	2016	Keith Alexander A. J. Taylor Mark R. Dennis
+ PDF Chat	Vortex knots in tangled quantum eigenfunctions	2016	A. J. Taylor Mark R. Dennis
+ PDF Chat	Direct measurements of the extraordinary optical momentum and transverse spin-dependent force using a nano-cantilever	2016	Massimo Antognozzi Charlotte Bermingham Robert L. Harniman Stephen H. Simpson Jorden Senior Rosie Hayward Heinrich J. K. Hoerber Mark R. Dennis A. Ya. Bekshaev Konstantin Y. Bliokh
+ PDF Chat	Generation and application of bessel beams in electron microscopy	2016	Vincenzo Grillo Jérémie Harris Gian Carlo Gazzadi R. Balboni Erfan Mafakheri Mark R. Dennis Stefano Frabboni Robert W. Boyd Ebrahim Karimi
+	Complexity of knotting in chaotic 3D eigenfunctions	2016	A. M. K. P. Taylor Mark R. Dennis
+	Proteins analysed as virtual knots	2016	Keith N. A. Alexander A. J. Taylor Mark R. Dennis
+	Constructing a polynomial whose nodal set is any prescribed knot or link	2016	Benjamin Bode Mark R. Dennis
+	Generation and Application of Bessel Beams in Electron Microscopy	2015	Vincenzo Grillo Jérémie Harris Gian Carlo Gazzadi R. Balboni Erfan Mafakheri Mark R. Dennis Stefano Frabboni Robert W. Boyd Ebrahim Karimi
+	Generation and Application of Bessel Beams in Electron Microscopy	2015	Vincenzo Grillo Jérémie Harris Gian Carlo Gazzadi R. Balboni Erfan Mafakheri Mark R. Dennis Stefano Frabboni Robert W. Boyd Ebrahim Karimi
+ PDF Chat	Geometry and scaling of tangled vortex lines in three-dimensional random wave fields	2014	A. J. Taylor Mark R. Dennis
+ PDF Chat	Eigenpolarizations for Giant Transverse Optical Beam Shifts	2014	Jörg B. Götte W. Löffler Mark R. Dennis
+	Giant transverse optical beam shift near Brewster incidence	2014	Jörg B. Götte W. Löffler Mark R. Dennis
+	Zernike amplitude pupil apodization for vortex coronagraphy with obscured apertures	2014	Garreth Ruane Mark R. Dennis Grover A. Swartzlander
+ PDF Chat	Propagation-invariant beams with quantum pendulum spectra: from Bessel beams to Gaussian beam-beams	2013	Mark R. Dennis James D. Ring
+ PDF Chat	Limits to superweak amplification of beam shifts	2013	Jörg B. Götte Mark R. Dennis
+ PDF Chat	Singular values, nematic disclinations, and emergent biaxiality	2013	Simon Čopar Mark R. Dennis Randall D. Kamien S. Žumer
+	Superweak amplification of beam shifts at pseudo-Brewster angles	2013	Jörg B. Götte Mark R. Dennis
+ PDF Chat	Topological Aberration of Optical Vortex Beams: Determining Dielectric Interfaces by Optical Singularity Shifts	2012	Mark R. Dennis Jörg B. Götte
+ PDF Chat	Generalized shifts and weak values for polarization components of reflected light beams	2012	Jörg B. Götte Mark R. Dennis
+ PDF Chat	The analogy between optical beam shifts and quantum weak measurements	2012	Mark R. Dennis Jörg B. Götte
+ PDF Chat	Aberration-like cusped focusing in the post-paraxial Talbot effect	2012	James D. Ring Jari Lindberg C. J. Howls Mark R. Dennis
+ PDF Chat	Paraxial and nonparaxial polynomial beams and the analytic approach to propagation	2011	Mark R. Dennis Jörg B. Götte Robert P. King Michael A. Morgan Miguel A. Alonso
+ PDF Chat	Relativistic Electron Vortex Beams: Angular Momentum and Spin-Orbit Interaction	2011	Konstantin Y. Bliokh Mark R. Dennis Franco Nori
+ PDF Chat	Fermionic out-of-plane structure of polarization singularities	2011	Mark R. Dennis
+	Scalar Goos-Hänchen shift for Robin boundary conditions	2011	Mark R. Dennis Jörg B. Götte
+	Entangled topological features of light	2011	Jacquiline Romero Joseph Leach B. Jack Mark R. Dennis Sonja Franke‐Arnold Stephen M. Barnett Miles J. Padgett
+ PDF Chat	On the Burgers vector of a wave dislocation	2009	Mark R. Dennis
+ PDF Chat	Near integrable systems	2009	E. Bogomolny Mark R. Dennis R. Dubertrand
+ PDF Chat	Density and correlation functions of vortex and saddle points in open billiard systems	2009	R. Höhmann Ulrich Kuhl H.‐J. Stöckmann Juan Diego Urbina Mark R. Dennis
+ PDF Chat	Superoscillation in speckle patterns	2008	Mark R. Dennis Alasdair C. Hamilton Johannes Courtial
+ PDF Chat	Polarization singularity anisotropy: determining monstardom	2008	Mark R. Dennis
+	Boundary-condition-varying circle billiards and gratings: the Dirichlet singularity	2008	Marsha Berry Mark R. Dennis
+ PDF Chat	Probability density of the multipole vectors for a Gaussian cosmic microwave background	2007	Mark R. Dennis Kate Land
+ PDF Chat	A three-dimensional degree of polarization based on Rayleigh scattering	2007	Mark R. Dennis
+	Self-imaging of surface wave carpets on metals: the plasmon Talbot effect	2007	Mark R. Dennis Nikolay I. Zheludev F. Javier Garcı́a de Abajo
+	Nodal densities of planar gaussian random waves	2007	Mark R. Dennis
+	The plasmon Talbot effect	2007	Mark R. Dennis Nikolay I. Zheludev F. Javier Garcı́a de Abajo
+ PDF Chat	Rows of optical vortices from elliptically perturbing a high-order beam	2006	Mark R. Dennis
+ PDF Chat	Geometry of Călugăreanu's theorem	2005	Mark R. Dennis J H Hannay
+	Vortex knots in light	2005	Jonathan Leach Mark R. Dennis Johannes Courtial Miles J. Padgett
+ PDF Chat	Correlations between Maxwell's multipoles for Gaussian random functions on the sphere	2005	Mark R. Dennis
+	Geometry of Calugareanu's theorem	2005	Mark R. Dennis J H Hannay
+ PDF Chat	Canonical representation of spherical functions: Sylvester's theorem, Maxwell's multipoles and Majorana's sphere	2004	Mark R. Dennis
+ PDF Chat	Local phase structure of wave dislocation lines: twist and twirl	2004	Mark R. Dennis
+ PDF Chat	Geometric interpretation of the three-dimensional coherence matrix for nonparaxial polarization	2004	Mark R. Dennis
+ PDF Chat	Braided nodal lines in wave superpositions	2003	Mark R. Dennis
+ PDF Chat	Correlations and screening of topological charges in Gaussian random fields	2003	Mark R. Dennis
+ PDF Chat	Saddle points in the chaotic analytic function and Ginibre characteristic polynomial	2003	Mark R. Dennis J H Hannay

Common Coauthors

Coauthor	Papers Together
Miguel A. Alonso	15
Jörg B. Götte	9
Franco Nori	8
A. J. Taylor	7
Rodrigo Gutiérrez–Cuevas	7
Ebrahim Karimi	6
Konstantin Y. Bliokh	6
Benjamin Bode	5
Miles J. Padgett	5
Danica Sugic	4
Francisco J. Rodríguez‐Fortuño	4
Cornelia Denz	4
Vincenzo Grillo	3
J H Hannay	3
Robert W. Boyd	3
Keith Alexander	3
R. Balboni	3
Lorenzo Marrucci	3
Jérémie Harris	3
David Foster	3
Andrew Forbes	3
Gian Carlo Gazzadi	3
Janne Ruostekoski	3
Stefano Frabboni	3
Erfan Mafakheri	3
A. Nick Vamivakas	2
S. Zahedpour	2
Nikolay I. Zheludev	2
P. Schattschneider	2
Şahin Kaya Özdemir	2
P. B. Corkum	2
Johan Verbeeck	2
Alex J. Vernon	2
Ido Kaminer	2
Philipp Schneeweiß	2
Arno Rauschenbeutel	2
Haoran Ren	2
Erez Hasman	2
D. Sarenac	2
Filippo Cardano	2
Nicholas Bender	2
Titouan Gadeyne	2
Yuri S. Kivshar	2
J. Hassett	2
Johannes Courtial	2
Jürgen Volz	2
Andrea Alù	2
Tanya Malhotra	2
Teuntje Tijssen	2
Nader Engheta	2

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	Dual electromagnetism: helicity, spin, momentum and angular momentum	2013	Konstantin Y. Bliokh A. Ya. Bekshaev Franco Nori	7
+	Ray-optical Poincaré sphere for structured Gaussian beams	2017	Miguel A. Alonso Mark R. Dennis	6
+ PDF Chat	Transverse and longitudinal angular momenta of light	2015	Konstantin Y. Bliokh Franco Nori	6
+ PDF Chat	Paraxial and nonparaxial polynomial beams and the analytic approach to propagation	2011	Mark R. Dennis Jörg B. Götte Robert P. King Michael A. Morgan Miguel A. Alonso	6
+ PDF Chat	Swings and roundabouts: optical Poincaré spheres for polarization and Gaussian beams	2017	Mark R. Dennis Miguel A. Alonso	6
+ PDF Chat	Optical skyrmion lattice in evanescent electromagnetic fields	2018	Shai Tsesses Evgeny Ostrovsky Kobi Cohen Bergin Gjonaj Netanel H. Lindner Guy Bartal	5
+ PDF Chat	Weaving Knotted Vector Fields with Tunable Helicity	2016	Hridesh Kedia David Foster Mark R. Dennis William T. M. Irvine	5
+ PDF Chat	Angular momenta and spin-orbit interaction of nonparaxial light in free space	2010	Konstantin Y. Bliokh Miguel A. Alonso Elena A. Ostrovskaya Andrea Aiello	5
+ PDF Chat	Canonical representation of spherical functions: Sylvester's theorem, Maxwell's multipoles and Majorana's sphere	2004	Mark R. Dennis	5
+ PDF Chat	Correlations and screening of topological charges in Gaussian random fields	2003	Mark R. Dennis	5
+ PDF Chat	Geometric interpretation of the three-dimensional coherence matrix for nonparaxial polarization	2004	Mark R. Dennis	5
+	Tying quantum knots	2016	D. S. Hall Michael Ray Konstantin Tiurev Emmi Ruokokoski Andrei Gheorghe Mikko Möttönen	5
+ PDF Chat	Roadmap on structured light	2016	Halina Rubinsztein‐Dunlop Andrew Forbes Michael Berry Mark R. Dennis Davıd L. Andrews Masud Mansuripur Cornelia Denz Christina Alpmann Peter Banzer Thomas Bauer	5
+ PDF Chat	Tying Knots in Light Fields	2013	Hridesh Kedia Iwo Białynicki‐Birula Daniel Peralta‐Salas William T. M. Irvine	5
+ PDF Chat	Knots in the Skyrme–Faddeev model	2007	Paul Sutcliffe	5
+	Chaotic analytic zero points: exact statistics for those of a random spin state	1996	J H Hannay	5
+ PDF Chat	Vortex knots in tangled quantum eigenfunctions	2016	A. J. Taylor Mark R. Dennis	5
+ PDF Chat	Topological spin transport of photons: the optical Magnus effect and Berry phase	2004	Konstantin Y. Bliokh Yu. P. Bliokh	4
+ PDF Chat	Knotting fractional-order knots with the polarization state of light	2019	Emilio Pisanty Gerard J. Machado Verónica Vicuña-Hernández Antonio Picón Alessio Celi Juan P. Torres Maciej Lewenstein	4
+ PDF Chat	Topological Aberration of Optical Vortex Beams: Determining Dielectric Interfaces by Optical Singularity Shifts	2012	Mark R. Dennis Jörg B. Götte	4
+	The Majorana representation of polarization, and the Berry phase of light	1998	J H Hannay	4
+ PDF Chat	Complex weak values in quantum measurement	2007	Richard Jozsa	4
+ PDF Chat	Reconfigurable Knots and Links in Chiral Nematic Colloids	2011	Uroš Tkalec Miha Ravnik Simon Čopar S. Žumer Igor Muševič	4
+	The Majorana representation of polarization, and the Berry phase of light	1998	J H Hannay	4
+	Quantum spin Hall effect of light	2015	Konstantin Y. Bliokh Daria A. Smirnova Franco Nori	4
+ PDF Chat	Paraxial skyrmionic beams	2020	Sijia Gao Fiona C. Speirits Francesco Castellucci Sonja Franke‐Arnold Stephen M. Barnett Jörg B. Götte	4
+ PDF Chat	Optical momentum and angular momentum in complex media: from the Abraham–Minkowski debate to unusual properties of surface plasmon-polaritons	2017	Konstantin Y. Bliokh A. Ya. Bekshaev Franco Nori	4
+	Le noeud �Huit� est Algebrique R�el	1982	Bernard Perron	4
+ PDF Chat	Local phase structure of wave dislocation lines: twist and twirl	2004	Mark R. Dennis	4
+ PDF Chat	Spin and orbital angular momenta of acoustic beams	2019	Konstantin Y. Bliokh Franco Nori	4
+	Isolated critical points of mappings from R4 to R2 and a natural splitting of the Milnor number of a classical fibered link. Part I: Basic theory; examples	1987	Lee Rudolph	4
+ PDF Chat	Signed zeros of Gaussian vector fields density, correlation functions and curvature	2003	Georg Foltin	4
+ PDF Chat	Particle-like topologies in light	2021	Danica Sugic Ramon Droop Eileen Otte Daniel Ehrmanntraut Franco Nori Janne Ruostekoski Cornelia Denz Mark R. Dennis	4
+	Singular points of complex hypersurfaces	1968	John Milnor	4
+ PDF Chat	Generation of electron Airy beams	2013	Noa Voloch‐Bloch Y. Lereah Yigal Lilach A. Gover Ady Arie	4
+ PDF Chat	Role of beam propagation in Goos–Hänchen and Imbert–Fedorov shifts	2008	Andrea Aiello J. P. Woerdman	4
+	Handbook of Mathematical Functions	1966	Donald A. McQuarrie	4
+ PDF Chat	Deep-subwavelength features of photonic skyrmions in a confined electromagnetic field with orbital angular momentum	2019	Luping Du Aiping Yang Anatoly V. Zayats Xiaocong Yuan	4
+ PDF Chat	Field theory spin and momentum in water waves	2022	Konstantin Y. Bliokh H. Punzmann Hua Xia Franco Nori Michael Shats	4
+ PDF Chat	Distribution of nearest distances between nodal points for the Berry function in two dimensions	2001	Alexander I. Saichev Karl‐Fredrik Berggren Almas F. Sadreev	4
+ PDF Chat	Stable knot-like structures in classical field theory	1997	Lyudvig Dmitrievich Faddeev Antti J. Niemi	4
+ PDF Chat	Semiclassical Dynamics of Electron Wave Packet States with Phase Vortices	2007	Konstantin Y. Bliokh Yu. P. Bliokh Sergey Savel’ev Franco Nori	3
+	Differential Forms in Algebraic Topology	1982	Raoul Bott Loring W. Tu	3
+ PDF Chat	Fractal and statistical properties of large compact polymers: a computational study	2003	Rhonald C. Lua Alexander L. Borovinskiy Alexander Y. Grosberg	3
+	Spin Hall effect and Berry phase of spinning particles	2005	Alain Bérard Hervé Mohrbach	3
+ PDF Chat	Chiral nanophotonic waveguide interface based on spin-orbit interaction of light	2014	Jan C. Petersen Jürgen Volz Arno Rauschenbeutel	3
+	Orbits of the rotation group on spin states	1974	H. Bacry	3
+ PDF Chat	Fractal Geometry: Mathematical Foundations and Applications.	1990	K. J. Falconer	3
+	Nodal densities of planar gaussian random waves	2007	Mark R. Dennis	3
+ PDF Chat	Multitwist optical Möbius strips	2010	Isaac Freund	3