Items where Author is "Gratus, Jonathan"

Siaber, Sergey and Gratus, Jonathan and Seviour, Rebecca and Jamison, Steven and Boyd, Taylor (2024) Corrugated waveguide with matched phase and group velocities: an extended regime of wave-beam interaction. Optics Express, 32 (13). pp. 23288-23302. ISSN 1094-4087

Warwick, Alex and Gratus, Jonathan (2024) Using moment tracking to improve macroparticles in particle-in-cell codes. PhD thesis, Lancaster University.

Warwick, Alex and Gratus, Jonathan (2023) Moment tracking and their coordinate transformations for macroparticles with an application to plasmas around black holes. Plasma Physics and Controlled Fusion, 66 (1): 015014. ISSN 0741-3335

Gratus, Jonathan and Talaganis, Spyridon (2023) The Distributional Stress–Energy Quadrupole and Gravitational Waves. Universe, 9 (12): 518.

Siaber, Sergey and Gratus, Jonathan and Seviour, Rebecca and Jamison, Steven and Boyd, Taylor (2023) Broadband Terahertz Generation in a Corrugated Waveguide with matched Phase and Group Velocities. arxiv.org.

Warwick, Alex and Gratus, Jonathan (2023) Moment tracking and their coordinate transformations for macroparticles with an application to plasmas around black holes. Other. Arxiv.

Gratus, Jonathan and Talaganis, Spyridon (2023) The tensorial representation of the distributional stress–energy quadrupole and its dynamics. Classical and Quantum Gravity, 40 (8): 085012. ISSN 0264-9381

Pinto, Paolo and Gratus, Jonathan (2023) Geometrical Interpretation of Multipoles and Moments on Differential Manifolds. PhD thesis, Lancaster University.

McCall, Martin and Kinsler, Paul and Gratus, Jonathan (2023) A Novel Approach to Electromagnetic Constitutive Relations. In: Adventures in Contemporary Electromagnetic Theory :. Springer, Cham, pp. 33-60. ISBN 9783031246166

Gratus, Jonathan and Talaganis, Spyridon (2022) The tensorial representation of the distributional stress-energy quadrupole and its dynamics. Other. Arxiv.

Spasova, Vanya and Gratus, Jonathan (2022) Degrees of Freedom in a Multipole Expansion of an Electromagnetic Current Over a Worldline. Masters thesis, Lancaster University.

Gratus, Jonathan (2022) Maxwell-Lorentz without self-interactions : Conservation of energy and momentum. Journal of Physics A: Mathematical and General, 55 (6): 065202. ISSN 0305-4470

Gratus, Jonathan and Seviour, Rebecca and Kinsler, Paul and Jaroszynski, Dino A. (2021) Temporal boundaries in electromagnetic materials. New Journal of Physics, 23: 083032. ISSN 1367-2630

Gratus, Jonathan and Kinsler, Paul and McCall, Martin (2021) Temporary Singularities and Axions : an analytic solution that challenges charge conservation. Annalen der Physik, 533 (6): 2000565. ISSN 0003-3804

Gratus, Jonathan and Pinto, Paolo and Talaganis, Spyridon (2020) The distributional stress-energy quadrupole. Classical and Quantum Gravity, 38 (3): 035011. ISSN 0264-9381

Gratus, Jonathan and Kinsler, Paul and McCall, Martin (2020) Maxwell's Equations, Stokes' Theorem, and the Conservation of Charge. arXiv. ISSN 2331-8422

Gratus, Jonathan and Kinsler, Paul and McCall, Martin W. (2020) Temporary Singularities and Axions an analytic solution that challenges charge conservation. arxiv.org.

Gratus, Jonathan and Pinto, Paolo and Talaganis, Spyridon (2020) The Distributional Stress-Energy Quadrupole. arxiv.org.

Gratus, Jonathan and McCall, Martin W. and Kinsler, Paul (2020) Electromagnetism, Axions, and Topology : a first-order operator approach to constitutive responses provides greater freedom. Physical Review A - Atomic, Molecular, and Optical Physics, 101 (4): 043804. ISSN 1050-2947

Boyd, Taylor and Gratus, Jonathan and Letizia, Rosa (2020) Harnessing spatial dispersion in wire media to control the shape of electromagnetic fields. PhD thesis, Lancaster University.

Gratus, Jonathan and Kinsler, Paul and McCall, Martin (2019) Evaporating black-holes, wormholes, and vacuum polarisation : must they always conserve charge? Foundations of Physics, 49 (4). pp. 330-350. ISSN 0015-9018

Boyd, Taylor and Gratus, Jonathan and Kinsler, Paul and Letizia, Rosa and Seviour, Rebecca (2018) Mode profile shaping in wire media : towards an experimental verification. Applied Sciences, 8 (8): 1276. ISSN 2076-3417

McCall, Martin and Pendy, John and Galdi, Vincenzo and Lai, Yun and Horsely, Simon and Zhu, Jain and Mitchell-Thomas, Rhiannon and Quevedo-Teruel, Oscar and Tassin, Philippe and Ginis, Vincent and Martini, Enrica and Minatti, Gabriele and Maci, Stefano and Hao, Yang and Kinsler, Paul and Gratus, Jonathan and Lukens, Joseph and Weiner, Andrew and Leonhardt, Ulf and Smolyaninov, Igor and Smolyaninova, Vera and Thompson, Robert and Wegener, Martin and Kadic, Muamer and Cummer, Steven (2018) Roadmap on Transformation Optics. Journal of Optics, 20 (6): 063001. ISSN 2040-8978

Gratus, Jonathan and Banaszek, Thomas (2018) The correct and unusual coordinate transformation rules for electromagnetic quadrupoles. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 474 (2213): 20170652. ISSN 1364-5021

Boyd, Taylor and Gratus, Jonathan and Kinsler, Paul and Letizia, Rosa (2018) Customizing longitudinal electric field profiles using spatial dispersion in dielectric wire arrays. Optics Express, 26 (3). pp. 2478-2494. ISSN 1094-4087

Talaganis, Spyridon and Gratus, Jonathan (2018) Classical and quantum aspects of infinite derivative field theories and infinite derivative gravity. PhD thesis, Lancaster University.

Gratus, Jonathan and Gallego Torrome, Ricardo (2018) On K-Jet Field Approximations to Geodesic Deviation Equations. International Journal of Geometric Methods in Modern Physics, 15 (12): 1850199. ISSN 0219-8878

Teimouri, Ilia and Gratus, Jonathan (2018) On aspects of infinite derivatives field theories & infinite derivative gravity. PhD thesis, Lancaster University.

Gratus, Jonathan (2017) A pictorial introduction to differential geometry, leading to Maxwell's equations as three pictures. arxiv.org.

Gratus, Jonathan and Kinsler, Paul and Letizia, Rosa and Boyd, Taylor (2017) Subwavelength mode profile customisation using functional materials. Journal of Physics Communications, 1 (2): 025003. ISSN 2399-6528

Gratus, Jonathan and Kinsler, Paul and Letizia, Rosa and Boyd, Taylor (2017) Electromagnetic mode profile shaping in waveguides. Applied Physics A, 123: 108. ISSN 0947-8396

Gratus, Jonathan and Kinsler, Paul and McCall, Martin W. and Thompson, Robert T. (2016) On spacetime transformation optics : temporal and spatial dispersion. New Journal of Physics, 18: 123010. ISSN 1367-2630

Kinsler, Paul and Gratus, Jonathan and McCall, Martin and Thompson, Robert (2016) Dispersion in space-time transformation optics. In: Electromagnetic Theory (EMTS), 2016 URSI International Symposium on :. IEEE, FIN, pp. 356-358. ISBN 9781509025039

Boyd, Taylor and Kinsler, Paul and Gratus, Jonathan and Letizia, Rosa (2016) Electromagnetic mode profile shaping in waveguides. In: Electromagnetic Theory (EMTS), 2016 URSI International Symposium on :. IEEE, FIN, pp. 725-727. ISBN 9781509025039

Gratus, Jonathan and Kinsler, Paul and Letizia, Rosa and Boyd, Taylor (2016) Customised mode profiles using functional materials. arxiv.org.

Gratus, Jonathan and Perlick, Volker and Tucker, Robin W. (2015) On the self-force in Bopp-Podolsky electrodynamics. Journal of Physics A: Mathematical and Theoretical, 48 (43): 435401. ISSN 1751-8113

Gratus, Jonathan and McCormack, Matthew and Letizia, Rosa (2015) Spatially dispersive inhomogeneous dielectric wire media with periodic structure. In: Proceedings of PIERS 2015 in Prague, July 6-9, 2015 :. The Electromagnetics Academy, CZE, pp. 675-680. ISBN 9781934142301

Gratus, Jonathan and McCormack, Matthew (2015) Spatially dispersive inhomogeneous electromagnetic media with periodic structure. Journal of Optics, 17 (2): 025105. ISSN 2040-8978

McCormack, Matthew and Gratus, Jonathan (2014) Propagation of electromagnetic waves in spatially dispersive inhomogeneous media. PhD thesis, Lancaster University.

Gratus, Jonathan and Edmonds, Chris and Hock, Kai and Machida, Shinji and Muratori, Bruno and Torromé, Ricardo Gallego and wolski, Andy (2014) Reconstruction of lattice parameters and beam momentum distribution from turn-by-turn beam position monitor readings in circular accelerators. Physical Review Special Topics: Accelerators and Beams, 17 (5): 054401. ISSN 1098-4402

Gratus, Jonathan and McCormack, Matthew (2013) Inhomogeneous spatially dispersive electromagnetic media. In: Progress In Electromagnetics Research Symposium Proceedings, Stockholm, Sweden, Aug. 12-15, 2013 :. UNSPECIFIED, SWE, pp. 1007-1012.

Gratus, Jonathan (2013) Colombeau algebra : a pedagogical introduction. arxiv.org.

Burton, David and Carr, Anthony and Gratus, Jonathan and Noble, Adam (2013) The radiative self-force and charged fluids. In: Laser Acceleration of Electrons, Protons, and Ions II; and Medical Applications of Laser-Generated Beams of Particles II; and Harnessing Relativistic Plasma Waves III :. SPIE.

Noble, Adam and Gratus, Jonathan and Burton, David and Jaroszynski, Dino (2013) A kinetic model of radiating electrons. Journal of Mathematical Physics, 54 (4): 043101. ISSN 0022-2488

Gratus, Jonathan and Tucker, Robin and Obukhov, Yuri (2012) Conservation laws and stress–energy–momentum tensors for systems with background fields. Annals of Physics, 327 (10). pp. 2560-2590. ISSN 0003-4916

Ferris, Michael and Gratus, Jonathan (2012) Problems in point charge electrodynamics. PhD thesis, Lancaster University.

Gratus, Jonathan (2012) Stephen N. Lyle: Self-force and inertia: old light on new ideas : Springer Lecture Notes in Physics, Vol. 796, 2011, 396 p., €74.85, ISBN: 978-3-642-04784-8. [Review]

Ferris, Michael R. and Gratus, Jonathan (2011) The origin of the Schott term in the electromagnetic self force of a classical point charge. Journal of Mathematical Physics, 52 (9): 092902. -. ISSN 0022-2488

Gratus, Jonathan and R. Ferris, Michael (2011) Bending a Beam to Significantly Reduce Wakefields of Short Bunches. arxiv.org. (Unpublished)

Gratus, Jonathan and Tucker, Robin (2011) Covariant constitutive relations and relativistic inhomogeneous plasmas. Journal of Mathematical Physics, 52 (4): 042901. ISSN 0022-2488

Goto, Shinichiro and Gratus, Jonathan and Hale, Alison and Tucker, Robin and Walton, Timothy (2011) Covariant electromagnetic constitutive theory for dispersive continua. In: Elasticity and anelasticity : proceedings of the international scientific symposium on problems of the mechanics of deformable bodies dedicated to the 100th anniversary from the birthday of A.A. Ilyushin Moscow, January 20–21, 2011. Moscow University Press, Moscow, pp. 264-271.

Noble, Adam and Jaroszynski, Dino and Gratus, Jonathan and Burton, David (2011) Kinetic theory of radiation reaction. In: Central Laser Facility Annual Report 2010-2011 :. Central Laser Facility.

Noble, Adam and Gratus, Jonathan and Burton, David and Ersfeld, Bernhard and Islam, M. Ranaul and Kravets, Yevgen and Raj, Gurav and Jaroszynski, Dino (2011) Kinetic treatment of radiation reaction effects. In: Laser acceleration of electrons, protons, and ions and medical applications of laser-generated secondary sources of radiation and particles :. SPIE-INT SOC OPTICAL ENGINEERING, Prague, -. ISBN 978-0-81948-669-1

Burton, David A. and Gratus, Jonathan and Perlick, Volker and Tucker, Robin W. and Christie, D. C. and Goto, S. and Hale, Alison and Noble, A. and Walton, C. and Canovan, C. E. S. and Ferris, M. and Gallego Torrome, R. and Smith, J. D. A. and Wen, H. (2010) Mathematical physics activities at the Cockcroft Institute. ICFA Beam Dynamics Newsletter, 51. pp. 217-222.

Gratus, Jonathan and Tucker, Robin (2010) Covariant constitutive relations, landau damping and non-stationary inhomogeneous plasmas. Progress In Electromagnetics Research M, 13. pp. 145-156. ISSN 1937-8726

Burton, David A. and Gratus, Jonathan and Tucker, Robin W. (2007) Asymptotic analysis of ultra-relativistic charge. Annals of Physics, 322 (3). pp. 599-630. ISSN 0003-4916

Gratus, Jonathan and Porter, Timothy (2006) A spatial view of information. Theoretical Computer Science, 365 (3). pp. 206-215. ISSN 0304-3975

Gratus, Jonathan and Porter, Timothy (2005) A geometry of information, I: Nerves, posets and differential forms. In: Spatial Representation :. Dagstuhl Seminar Proceedings, 04351 . IBFI, Schloss Dagstuhl, Germany.

Gratus, Jonathan and Porter, Timothy (2005) A geometry of information, II: Sorkin models, and biextensional collapses. In: Spatial Representation :. Dagstuhl Seminar Proceedings (DagSemProc), 4351 . IBFI, Schloss Dagstuhl, Germany.

Gratus, Jonathan and Tucker, Robin (2003) An improved method of gravicraft propulsion. Acta Astronautica, 53 (3). pp. 161-172. ISSN 0094-5765

Gratus, Jonathan and Tucker, Robin (2002) Nets of one dimensional Cosserat continua. In: Proceedings of the fifth international seminar on geometry, continua and microstructures : September 26-28, 2001, Sinaia, Romania. Editura Academiei Române, Bucharest. ISBN 9789732708804

Wang, Charles and Burton, David and Gratus, Jonathan and Tucker, Robin (2001) On the control of matter with gravity. In: International Conference on Propulsion, 2001-07-02 - 2001-07-05.

Gratus, Jonathan and Tucker, Robin W. (2000) A quantum geometric description of a q-brane with intrinsic spin. Nuclear Physics B - Proceedings Supplements, 88 (1-3). pp. 349-354. ISSN 0920-5632

Gratus, Jonathan (1999) 'Wick rotations': The noncommutative hyperboloids and other surfaces of rotations. Letters in Mathematical Physics, 47 (2). pp. 97-109. ISSN 0377-9017

Gratus, Jonathan (1998) Noncommutative differential geometry, and the matrix representations of generalised algebras. Journal of Geometry and Physics, 25 (3-4). pp. 227-244. ISSN 0393-0440

Gratus, Jonathan (1998) A natural basis for spinor and vector fields on the noncommutative sphere. Journal of Mathematical Physics, 39 (4). pp. 2306-2324. ISSN 0022-2488

Gratus, Jonathan and Tucker, Robin (1996) Classical and quantum implications of the causality structure of two-dimensional space-times with degenerate metrics. Journal of Mathematical Physics, 37 (12). pp. 6018-6032. ISSN 0022-2488