Zobrazeno 1 - 5
of 5
pro vyhledávání: '"Michael J. Jenkinson"'
Autor:
William D. Henshaw, Donald W. Schwendeman, Alexander V. Kildishev, Ludmila J. Prokopeva, Jeffrey W. Banks, Gregor Kovačič, Michael J. Jenkinson, Jordan B. Angel
Publikováno v:
Journal of Computational Physics. 378:411-444
A high-order accurate scheme for solving the time-domain Maxwell's equations with a generalized dispersive material model is described. The equations for the electric field are solved in second-order form, and a general dispersion model is treated wi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::add73c3e8de4b361fb61fb258ffcfc48
https://doi.org/10.1016/j.jcp.2018.11.021
https://doi.org/10.1016/j.jcp.2018.11.021
Autor:
Michael J. Jenkinson, Jeffrey W. Banks
Publikováno v:
Journal of Computational and Applied Mathematics. 336:192-218
We propose a novel finite-difference time-domain (FDTD) scheme for the solution of the Maxwell's equations in which linear dispersive effects are present. The method uses high-order accurate approximations in space and time for the dispersive Maxwell
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::64dbc3c4b2e8c2f995a2fd6b25404fc2
https://doi.org/10.1016/j.cam.2017.12.016
https://doi.org/10.1016/j.cam.2017.12.016
Publikováno v:
Communications in Mathematical Physics. 351:45-94
We study a class of discrete focusing nonlinear Schr{\"o}dinger equations (DNLS) with general nonlocal interactions. We prove the existence of onsite and offsite discrete solitary waves, which bifurcate from the trivial solution at the endpoint frequ
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d14a0c9233a709afd021bab752f4e1b7
https://doi.org/10.1007/s00220-017-2839-4
https://doi.org/10.1007/s00220-017-2839-4
Publikováno v:
Nonlinearity. 29:27-86
We construct multiple families of solitary standing waves of the discrete cubically nonlinear Schrodinger equation (DNLS) in dimensions d = 1, 2 and 3. These states are obtained via a bifurcation analysis about the continuum (NLS) limit. One family c
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::550755bfb55a66ad900df53b3c488d17
https://doi.org/10.1088/0951-7715/29/1/27
https://doi.org/10.1088/0951-7715/29/1/27
Autor:
Alexander V. Kildishev, Gregor Kovačič, William D. Henshaw, Michael J. Jenkinson, Ludmila J. Prokopeva, Benjamin Brett Buckner, Jeffrey W. Banks, Donald W. Schwendeman
Publikováno v:
Journal of Computational Physics. 412:109424
A high-order accurate scheme for solving the time-domain dispersive Maxwell's equations and material interfaces is described. Maxwell's equations are solved in second-order form for the electric field. A generalized dispersive material (GDM) model is
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::2bd2990e5a253fb404d141aeb51bf45d
https://doi.org/10.1016/j.jcp.2020.109424
https://doi.org/10.1016/j.jcp.2020.109424