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Research

Dr Jonathan Gratus

Senior Lecturer

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  1. Published

    Electromagnetic mode profile shaping in waveguides

    Boyd, T., Kinsler, P., Gratus, J. & Letizia, R., 14/08/2016, Electromagnetic Theory (EMTS), 2016 URSI International Symposium on. IEEE, p. 725-727 3 p.

    Research output: Contribution in Book/Report/Proceedings - With ISBN/ISSN › Conference contribution/Paper › peer-review

  2. Published

    Customizing longitudinal electric field profiles using spatial dispersion in dielectric wire arrays

    Boyd, T., Gratus, J., Kinsler, P. & Letizia, R., 5/02/2018, In: Optics Express. 26, 3, p. 2478-2494 17 p.

    Research output: Contribution to Journal/Magazine › Journal article › peer-review

  3. Published

    Mode profile shaping in wire media: towards an experimental verification

    Boyd, T., Gratus, J., Kinsler, P., Letizia, R. & Seviour, R., 1/08/2018, In: Applied Sciences. 8, 8, 11 p., 1276.

    Research output: Contribution to Journal/Magazine › Journal article › peer-review

  4. Published

    Multiple currents in charged continua

    Burton, D. A., Gratus, J. & Tucker, R. W., 26/01/2007, In: Journal of Physics A: Mathematical and Theoretical. 40, 4, p. 811-829 19 p.

    Research output: Contribution to Journal/Magazine › Journal article › peer-review

  5. Published

    Asymptotic analysis of ultra-relativistic charge

    Burton, D. A., Gratus, J. & Tucker, R. W., 03/2007, In: Annals of Physics. 322, 3, p. 599-630 32 p.

    Research output: Contribution to Journal/Magazine › Journal article › peer-review

  6. Published

    Hydrodynamic forces on two moving discs

    Burton, D. A., Gratus, J. & Tucker, R. W., 2004, In: Theoretical and Applied Mechanics. 31, 2, p. 153-187 35 p.

    Research output: Contribution to Journal/Magazine › Journal article › peer-review

  7. Published

    Mathematical physics activities at the Cockcroft Institute.

    Burton, D. A., Gratus, J., Perlick, V., Tucker, R. W., Christie, D. C., Goto, S., Hale, A., Noble, A., Walton, C., Canovan, C. E. S., Ferris, M., Gallego Torrome, R., Smith, J. D. A. & Wen, H., 04/2010, In: ICFA Beam Dynamics Newsletter. 51, p. 217-222 6 p.

    Research output: Contribution to Journal/Magazine › Journal article › peer-review

  8. Published

    Asymptotic analysis of ultra-relativistic charge

    Burton, D. A., Gratus, J. & Tucker, R. W., 2006, In: Proceedings of the 10th European Particle Accelerator Conference (EPA06).

    Research output: Contribution to Journal/Magazine › Journal article › peer-review

  9. Published

    The electrodynamics of charged continua.

    Burton, D. A., Gratus, J. & Tucker, R. W., 2006, In: Proceedings of workshop on global integrability of field theories applications. p. 155-169 15 p.

    Research output: Contribution to Journal/Magazine › Journal article › peer-review

  10. Published

    The radiative self-force and charged fluids

    Burton, D., Carr, A., Gratus, J. & Noble, A., 9/05/2013, Laser Acceleration of Electrons, Protons, and Ions II; and Medical Applications of Laser-Generated Beams of Particles II; and Harnessing Relativistic Plasma Waves III. Esarey, E., Schroeder, C. B., Leemans, W. P., Ledingham, K. W. D. & Jaroszyski, D. A. (eds.). SPIE, Vol. 8779.

    Research output: Contribution in Book/Report/Proceedings - With ISBN/ISSN › Conference contribution/Paper › peer-review

  11. Published

    The covariant description of electromagnetically polarizable media

    Dereli, T., Gratus, J. & Tucker, R. W., 29/01/2007, In: Physics Letters A. 361, 3, p. 190-193 4 p.

    Research output: Contribution to Journal/Magazine › Journal article › peer-review

  12. Published

    New perspectives on the relevance of gravitation for the covariant description of electromagnetically polarizable media

    Dereli, T., Gratus, J. & Tucker, R. W., 25/05/2007, In: Journal of Physics A: Mathematical and Theoretical. 40, 21, p. 5695-5715 21 p.

    Research output: Contribution to Journal/Magazine › Journal article › peer-review

  13. Published

    The origin of the Schott term in the electromagnetic self force of a classical point charge

    Ferris, M. R. & Gratus, J., 09/2011, In: Journal of Mathematical Physics. 52, 9, p. - 9 p., 092902.

    Research output: Contribution to Journal/Magazine › Journal article › peer-review

  14. Published

    Covariant electromagnetic constitutive theory for dispersive continua

    Goto, S., Gratus, J., Hale, A., Tucker, R. & Walton, T., 2011, 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. Kiyko, I. A., Brovko, G. L. & Vasin, R. A. (eds.). Moscow: Moscow University Press, p. 264-271 8 p.

    Research output: Contribution in Book/Report/Proceedings - With ISBN/ISSN › Conference contribution/Paper › peer-review

  15. Published

    The dynamics of Cosserat nets

    Gratus, J. & Tucker, R. W., 2003, In: Journal of Applied Mathematics. 2003, 4, p. 187-226 40 p.

    Research output: Contribution to Journal/Magazine › Journal article › peer-review

  16. Published

    An improved method of gravicraft propulsion.

    Gratus, J. & Tucker, R., 08/2003, In: Acta Astronautica. 53, 3, p. 161-172 12 p.

    Research output: Contribution to Journal/Magazine › Journal article › peer-review

  17. Published

    Covariant constitutive relations, landau damping and non-stationary inhomogeneous plasmas

    Gratus, J. & Tucker, R., 2010, In: Progress In Electromagnetics Research M. 13, p. 145-156 11 p.

    Research output: Contribution to Journal/Magazine › Journal article › peer-review

  18. Published

    Covariant constitutive relations and relativistic inhomogeneous plasmas

    Gratus, J. & Tucker, R., 04/2011, In: Journal of Mathematical Physics. 52, 4, 26 p., 042901.

    Research output: Contribution to Journal/Magazine › Journal article › peer-review

  19. Published

    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

    Gratus, J., 2012, General Relativity and Gravitation, 44, 1, p. 303-304 2 p.

    Research output: Contribution to specialist publication › Book/Film/Article review

  20. Unpublished

    Bending a Beam to Significantly Reduce Wakefields of Short Bunches

    Gratus, J. & R. Ferris, M., 23/08/2011, (Unpublished) In: arxiv.org. 12 p.

    Research output: Contribution to Journal/Magazine › Journal article

  21. Published

    A spatial view of information

    Gratus, J. & Porter, T., 12/11/2006, In: Theoretical Computer Science. 365, 3, p. 206-215 10 p.

    Research output: Contribution to Journal/Magazine › Journal article › peer-review

  22. Published

    A noncommutative geometric analysis of a sphere-torus topology change

    Gratus, J., 02/2004, In: Journal of Geometry and Physics. 49, 2, p. 156-175 20 p.

    Research output: Contribution to Journal/Magazine › Journal article › peer-review

  23. Published

    Conservation laws and stress–energy–momentum tensors for systems with background fields

    Gratus, J., Tucker, R. & Obukhov, Y., 10/2012, In: Annals of Physics. 327, 10, p. 2560-2590 31 p.

    Research output: Contribution to Journal/Magazine › Journal article › peer-review

  24. Published

    Classical and quantum implications of the causality structure of two-dimensional space-times with degenerate metrics

    Gratus, J. & Tucker, R., 1996, In: Journal of Mathematical Physics. 37, 12, p. 6018-6032 14 p.

    Research output: Contribution to Journal/Magazine › Journal article › peer-review

  25. Published

    A natural basis of states for the noncommutative sphere and its Moyal bracket

    Gratus, J., 08/1997, In: Journal of Mathematical Physics. 38, 8, p. 4283-4300 18 p.

    Research output: Contribution to Journal/Magazine › Journal article › peer-review

  26. Published

    A natural basis for spinor and vector fields on the noncommutative sphere

    Gratus, J., 04/1998, In: Journal of Mathematical Physics. 39, 4, p. 2306-2324 19 p.

    Research output: Contribution to Journal/Magazine › Journal article › peer-review

  27. Published

    Noncommutative differential geometry, and the matrix representations of generalised algebras

    Gratus, J., 05/1998, In: Journal of Geometry and Physics. 25, 3-4, p. 227-244 18 p.

    Research output: Contribution to Journal/Magazine › Journal article › peer-review

  28. Published

    'Wick rotations': The noncommutative hyperboloids and other surfaces of rotations

    Gratus, J., 01/1999, In: Letters in Mathematical Physics. 47, 2, p. 97-109 13 p.

    Research output: Contribution to Journal/Magazine › Journal article › peer-review

  29. Published

    A quantum geometric description of a q-brane with intrinsic spin

    Gratus, J. & Tucker, R. W., 06/2000, In: Nuclear Physics B - Proceedings Supplements. 88, 1-3, p. 349-354 6 p.

    Research output: Contribution to Journal/Magazine › Journal article › peer-review

  30. Published

    Inhomogeneous spatially dispersive electromagnetic media

    Gratus, J. & McCormack, M., 3/09/2013, Progress In Electromagnetics Research Symposium Proceedings, Stockholm, Sweden, Aug. 12-15, 2013. p. 1007-1012 6 p.

    Research output: Contribution in Book/Report/Proceedings - With ISBN/ISSN › Conference contribution/Paper › peer-review

  31. Published

    Colombeau algebra: a pedagogical introduction

    Gratus, J., 1/08/2013, In: arxiv.org.

    Research output: Contribution to Journal/Magazine › Journal article

  32. Published

    Reconstruction of lattice parameters and beam momentum distribution from turn-by-turn beam position monitor readings in circular accelerators

    Gratus, J., Edmonds, C., Hock, K., Machida, S., Muratori, B., Torromé, R. G. & wolski, A., 2/05/2014, In: Physical Review Special Topics: Accelerators and Beams. 17, 5, 9 p., 054401.

    Research output: Contribution to Journal/Magazine › Journal article › peer-review

  33. Published

    Spatially dispersive inhomogeneous electromagnetic media with periodic structure

    Gratus, J. & McCormack, M., 30/01/2015, In: Journal of Optics. 17, 2, 10 p., 025105.

    Research output: Contribution to Journal/Magazine › Journal article › peer-review

  34. Published

    Nets of one dimensional Cosserat continua

    Gratus, J. & Tucker, R., 2002, Proceedings of the fifth international seminar on geometry, continua and microstructures: September 26-28, 2001, Sinaia, Romania . Cleja-Tigoiu, S. & Tigoiu, V. (eds.). Bucharest: Editura Academiei Române

    Research output: Contribution in Book/Report/Proceedings - With ISBN/ISSN › Conference contribution/Paper › peer-review

  35. Published

    Spatially dispersive inhomogeneous dielectric wire media with periodic structure

    Gratus, J., McCormack, M. & Letizia, R., 30/07/2015, Proceedings of PIERS 2015 in Prague, July 6-9, 2015. Cambridge, Mass.: The Electromagnetics Academy, p. 675-680 6 p.

    Research output: Contribution in Book/Report/Proceedings - With ISBN/ISSN › Conference contribution/Paper › peer-review

  36. Published

    On the self-force in Bopp-Podolsky electrodynamics

    Gratus, J., Perlick, V. & Tucker, R. W., 7/10/2015, In: Journal of Physics A: Mathematical and Theoretical. 48, 43, 28 p., 435401.

    Research output: Contribution to Journal/Magazine › Journal article › peer-review

  37. Published

    Customised mode profiles using functional materials

    Gratus, J., Kinsler, P., Letizia, R. & Boyd, T., 14/07/2016, In: arxiv.org.

    Research output: Contribution to Journal/Magazine › Journal article

  38. Published

    On spacetime transformation optics: temporal and spatial dispersion

    Gratus, J., Kinsler, P., McCall, M. W. & Thompson, R. T., 1/12/2016, In: New Journal of Physics. 18, 19 p., 123010.

    Research output: Contribution to Journal/Magazine › Journal article › peer-review

  39. Published

    Electromagnetic mode profile shaping in waveguides

    Gratus, J., Kinsler, P., Letizia, R. & Boyd, T., 30/01/2017, In: Applied Physics A. 123, 6 p., 108.

    Research output: Contribution to Journal/Magazine › Journal article › peer-review

  40. Published

    Subwavelength mode profile customisation using functional materials

    Gratus, J., Kinsler, P., Letizia, R. & Boyd, T., 6/09/2017, In: Journal of Physics Communications. 1, 2, 8 p., 025003.

    Research output: Contribution to Journal/Magazine › Journal article › peer-review

  41. Published

    A pictorial introduction to differential geometry, leading to Maxwell's equations as three pictures

    Gratus, J., 21/09/2017, In: arxiv.org.

    Research output: Contribution to Journal/Magazine › Journal article

  42. Published

    The correct and unusual coordinate transformation rules for electromagnetic quadrupoles

    Gratus, J. & Banaszek, T., 05/2018, In: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences. 474, 2213, 16 p., 20170652.

    Research output: Contribution to Journal/Magazine › Journal article › peer-review

  43. Published

    On K-Jet Field Approximations to Geodesic Deviation Equations

    Gratus, J. & Gallego Torrome, R., 2018, In: International Journal of Geometric Methods in Modern Physics. 15, 12, 1850199.

    Research output: Contribution to Journal/Magazine › Journal article › peer-review

  44. Published

    Maxwell's (D, H ) excitation fields: lessons from permanent magnets

    Gratus, J., Kinsler, P. & McCall, M., 18/02/2019, In: European Journal of Physics. 40, 2, 13 p., 025203.

    Research output: Contribution to Journal/Magazine › Journal article › peer-review

  45. Published

    Evaporating black-holes, wormholes, and vacuum polarisation: must they always conserve charge?

    Gratus, J., Kinsler, P. & McCall, M., 1/04/2019, In: Foundations of Physics. 49, 4, p. 330-350 21 p.

    Research output: Contribution to Journal/Magazine › Journal article › peer-review

  46. Published

    Electromagnetism, Axions, and Topology: a first-order operator approach to constitutive responses provides greater freedom

    Gratus, J., McCall, M. W. & Kinsler, P., 7/04/2020, In: Physical Review A - Atomic, Molecular, and Optical Physics. 101, 4, 18 p., 043804.

    Research output: Contribution to Journal/Magazine › Journal article › peer-review

  47. Published

    The Distributional Stress-Energy Quadrupole

    Gratus, J., Pinto, P. & Talaganis, S., 6/05/2020, In: arxiv.org.

    Research output: Contribution to Journal/Magazine › Journal article

  48. Published

    Temporary Singularities and Axions an analytic solution that challenges charge conservation

    Gratus, J., Kinsler, P. & McCall, M. W., 5/08/2020, In: arxiv.org.

    Research output: Contribution to Journal/Magazine › Journal article

  49. Published

    The distributional stress-energy quadrupole

    Gratus, J., Pinto, P. & Talaganis, S., 23/12/2020, In: Classical and Quantum Gravity. 38, 3, 51 p., 035011.

    Research output: Contribution to Journal/Magazine › Journal article › peer-review

  50. Published

    Temporary Singularities and Axions: an analytic solution that challenges charge conservation

    Gratus, J., Kinsler, P. & McCall, M., 30/06/2021, In: Annalen der Physik. 533, 6, 13 p., 2000565.

    Research output: Contribution to Journal/Magazine › Journal article › peer-review

  51. Published

    Temporal boundaries in electromagnetic materials

    Gratus, J., Seviour, R., Kinsler, P. & Jaroszynski, D. A., 19/08/2021, In: New Journal of Physics. 23, 12 p., 083032.

    Research output: Contribution to Journal/Magazine › Journal article › peer-review

  52. Published

    Maxwell's Equations, Stokes' Theorem, and the Conservation of Charge

    Gratus, J., Kinsler, P. & McCall, M., 6/11/2020, In: arXiv.

    Research output: Contribution to Journal/Magazine › Journal article › peer-review

  53. Published

    Maxwell-Lorentz without self-interactions: Conservation of energy and momentum

    Gratus, J., 21/01/2022, In: Journal of Physics A: Mathematical and General . 55, 6, 14 p., 065202.

    Research output: Contribution to Journal/Magazine › Journal article › peer-review

  54. Published

    The tensorial representation of the distributional stress-energy quadrupole and its dynamics

    Gratus, J. & Talaganis, S., 7/11/2022, Arxiv.

    Research output: Working paper › Preprint

  55. Published

    The tensorial representation of the distributional stress–energy quadrupole and its dynamics

    Gratus, J. & Talaganis, S., 20/04/2023, In: Classical and Quantum Gravity. 40, 8, 30 p., 085012.

    Research output: Contribution to Journal/Magazine › Journal article › peer-review

  56. Published

    A geometry of information, I: Nerves, posets and differential forms.

    Gratus, J. & Porter, T., 27/08/2005, Spatial Representation. Kopperman, R., Smyth, M., Spreen, D. & Webster, J. (eds.). IBFI, Schloss Dagstuhl, Germany, Vol. 04351. (Dagstuhl Seminar Proceedings).

    Research output: Contribution in Book/Report/Proceedings - With ISBN/ISSN › Conference contribution/Paper

  57. Published

    A geometry of information, II: Sorkin models, and biextensional collapses.

    Gratus, J. & Porter, T., 27/08/2005, Spatial Representation. Kopperman, R., Smyth, M., Spreen, D. & Webster, J. (eds.). IBFI, Schloss Dagstuhl, Germany, Vol. 4351. (Dagstuhl Seminar Proceedings (DagSemProc)).

    Research output: Contribution in Book/Report/Proceedings - With ISBN/ISSN › Conference contribution/Paper › peer-review

  58. Published

    The Distributional Stress–Energy Quadrupole and Gravitational Waves

    Gratus, J. & Talaganis, S., 15/12/2023, In: Universe. 9, 12, 14 p., 518.

    Research output: Contribution to Journal/Magazine › Journal article › peer-review

  59. Published

    Quantum-mechanics on graphs

    GRATUS, J., Lambert, C., Robinson, S. & Tucker, R., 21/10/1994, In: Journal of Physics A: Mathematical and General . 27, 20, p. 6881-6892 12 p.

    Research output: Contribution to Journal/Magazine › Journal article › peer-review

  60. Published

    Topology change and the propagation of massless fields

    GRATUS, J. & Tucker, R., 07/1995, In: Journal of Mathematical Physics. 36, 7, p. 3353-3376 24 p.

    Research output: Contribution to Journal/Magazine › Journal article › peer-review

  61. Published

    Dispersion in space-time transformation optics

    Kinsler, P., Gratus, J., McCall, M. & Thompson, R., 14/08/2016, Electromagnetic Theory (EMTS), 2016 URSI International Symposium on. IEEE, p. 356-358 3 p.

    Research output: Contribution in Book/Report/Proceedings - With ISBN/ISSN › Conference contribution/Paper › peer-review

  62. Published

    Roadmap on Transformation Optics

    McCall, M., Pendy, J., Galdi, V., Lai, Y., Horsely, S., Zhu, J., Mitchell-Thomas, R., Quevedo-Teruel, O., Tassin, P., Ginis, V., Martini, E., Minatti, G., Maci, S., Hao, Y., Kinsler, P., Gratus, J., Lukens, J., Weiner, A., Leonhardt, U., Smolyaninov, I., & 5 othersSmolyaninova, V., Thompson, R., Wegener, M., Kadic, M. & Cummer, S., 22/05/2018, In: Journal of Optics. 20, 6, 44 p., 063001.

    Research output: Contribution to Journal/Magazine › Journal article › peer-review

  63. Published

    A Novel Approach to Electromagnetic Constitutive Relations

    McCall, M., Kinsler, P. & Gratus, J., 1/02/2023, Adventures in Contemporary Electromagnetic Theory. Mackay, T. G. & Lakhtakia, A. (eds.). Cham: Springer, p. 33-60 28 p.

    Research output: Contribution in Book/Report/Proceedings - With ISBN/ISSN › Chapter (peer-reviewed) › peer-review

  64. Published

    Kinetic treatment of radiation reaction effects

    Noble, A., Gratus, J., Burton, D., Ersfeld, B., Islam, M. R., Kravets, Y., Raj, G. & Jaroszynski, D., 2011, Laser acceleration of electrons, protons, and ions and medical applications of laser-generated secondary sources of radiation and particles. Leemans, WP., Esarey, E., Hooker, SM., Ledingham, KWD., Spohr, K. & McKenna, P. (eds.). BELLINGHAM: SPIE-INT SOC OPTICAL ENGINEERING, p. - 6 p.

    Research output: Contribution in Book/Report/Proceedings - With ISBN/ISSN › Conference contribution/Paper › peer-review

  65. Published

    Kinetic theory of radiation reaction

    Noble, A., Jaroszynski, D., Gratus, J. & Burton, D., 2011, Central Laser Facility Annual Report 2010-2011. Central Laser Facility, 2 p.

    Research output: Contribution in Book/Report/Proceedings - With ISBN/ISSN › Chapter

  66. Published

    A kinetic model of radiating electrons

    Noble, A., Gratus, J., Burton, D. & Jaroszynski, D., 2013, In: Journal of Mathematical Physics. 54, 4, 8 p., 043101.

    Research output: Contribution to Journal/Magazine › Journal article › peer-review

  67. Published

    Broadband Terahertz Generation in a Corrugated Waveguide with matched Phase and Group Velocities

    Siaber, S., Gratus, J., Seviour, R., Jamison, S. & Boyd, T., 11/10/2023, In: arxiv.org.

    Research output: Contribution to Journal/Magazine › Journal article

  68. Published

    On the control of matter with gravity

    Wang, C., Burton, D., Gratus, J. & Tucker, R., 07/2001.

    Research output: Contribution to conference - Without ISBN/ISSN › Conference paper

  69. Published

    Moment tracking and their coordinate transformations for macroparticles with an application to plasmas around black holes

    Warwick, A. & Gratus, J., 2/08/2023, Arxiv.

    Research output: Working paper › Preprint

  70. Published

    Moment tracking and their coordinate transformations for macroparticles with an application to plasmas around black holes

    Warwick, A. & Gratus, J., 19/12/2023, In: Plasma Physics and Controlled Fusion. 66, 1, 015014.

    Research output: Contribution to Journal/Magazine › Journal article › peer-review

  71. Published

    Symplectic integrator for s-dependent static magnetic fields based on mixed-variable generating functions

    Wolski, A., Gratus, J. & Tucker, R., 04/2012, In: Journal of Instrumentation. 7, 4, p. - 20 p., P04013.

    Research output: Contribution to Journal/Magazine › Journal article › peer-review

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