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Cgmx simulation

Scattering of a plane wave from an array of dielectric cylinders (Ey) (Cgmx).

Cgmx: Electromagnetics Solver

  1. solves the time-domain Maxwell's equations in two and three space dimensions.
  2. fourth-order accurate in space and time, very fast and memory efficient.
  3. accurate representation of material interfaces.
  4. Efficient time-stepping with the modified-equation approach , allowing a large (cfl=1) time step.
  5. High-order accurate symmetric difference approximations.
  6. High-order-accurate boundary and interface conditions.
  7. *new* General dispersive effects using the Generalized Dispersive Material (GDM) model.
  8. *new* Solver for the dispersive Bianisotropic Maxwell's equations with painted in materials.

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Documentation

Cgmx related publications and talks

  1. Jeffrey W. Banks, Benjamin Buckner, William D. Henshaw, Michael J. Jenkinson, , Alexander V. Kildishev, Gregor Kovav civ c, Ludmila J. Prokopeva, and Donald W. Schwendeman.
    A high-order accurate scheme for Maxwell's equations with a generalized dispersive material (GDM) model and material interfaces.
    J. Comput. Phys., 412:109424, 2020.
    publications/AHighOrderAccurateSchemeForMaxwellsEquationsGDMMaterialInterfaces_BanksEtAl2020.pdf.
  2. J. W. Banks, B.B. Buckner, W. D. Henshaw, A. V. Kildishev, G. Kovav civ c, L. J. Prokopeva, and D. W. Schwendeman.
    A high-order accurate scheme for the dispersive Maxwell's equations and material interfaces on overset grids.
    In Proceedings of the 2020 International Applied Computational Electromagnetics Society Symposium (ACES), 2020.
    (2 pages).
  3. Jordan Angel, Jeffrey W. Banks, William D. Henshaw, Michael J. Jenkinson, Alexander V. Kildishev, Gregor Kovav civ c, Ludmila J. Prokopeva, and Donald W. Schwendeman.
    A high-order accurate scheme for Maxwell's equations with a generalized dispersion model.
    J. Comput. Phys., 378:411-444, 2019.
    publications/AHighOrderAccurateSchemeForMaxwellsEquationsGDM_AngelEtAl2019.pdf.
  4. J. W. Banks, W. D. Henshaw, A. V. Kildishev, G. Kovav civ c, L. J. Prokopeva, and D. W. Schwendeman.
    Solving Maxwell's equations with a generalized dispersive material model on overset grids.
    In Proceedings of the 2019 International Applied Computational Electromagnetics Society Symposium (ACES), 2019.
    (2 pages).
  5. Jordan Angel, Jeffrey W. Banks, and William D. Henshaw.
    High-order upwind schemes for the wave equation on overlapping grids: Maxwell's equations in second-order form.
    J. Comput. Phys., 352:534-567, 2018.
    publications/HighOrderUpwindSchemesForWaveEquationsOnOverlappingGridsMaxwellsEquations_AngelBanksHenshaw2019.pdf.
  6. J. B. Angel, J. W. Banks, and W. D. Henshaw.
    A high-order accurate FDTD scheme for Maxwell's equations on overset grids.
    In Proceedings of the 2018 International Applied Computational Electromagnetics Society Symposium (ACES), 2018.
    (2 pages).
  7. N. Shen, M.J. Matthews, J.E. Fair, J.A. Britten, H.T. Nguyen, J.D. Cooke, S. Elhadj, W.D. Henshaw, G.M. Guss, I.L. Bass, et al.
    Study of CO2 laser smoothing of surface roughness in fused silica.
    In Laser Damage Symposium XLI: Annual Symposium on Optical Materials for High Power Lasers, pages 750411-750411. International Society for Optics and Photonics, 2009.
  8. William D. Henshaw.
    A high-order accurate parallel solver for Maxwell's equations on overlapping grids.
    SIAM J. Sci. Comput., 28(5):1730-1765, 2006.
    publications/henshawMaxwell2006.pdf.