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Volume 2, Issue 4
Modeling of the Frozen Mode Phenomenon and Its Sensitivity Using Discontinuous Galerkin Methods

S. Chun & J. S. Hesthaven

Commun. Comput. Phys., 2 (2007), pp. 611-639.

Published online: 2007-02

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  • Abstract

We investigate the behavior and sensitivity of the frozen mode phenomenon in finite structures with anisotropic materials, including both magnetic materials and non-normal incidence. The studies are done by using a high-order accurate discontinuous Galerkin method for solving Maxwell's equations in the time domain. We confirm the existence of the phenomenon also in the time-domain and study carefully the impact of the finite crystal on the frozen mode. This sets the stage for a thorough study of the robustness of the frozen mode phenomenon, resulting in guidelines for which design parameters are most sensitive and acceptable tolerances.

  • Keywords

Discontinuous Galerkin method, Maxwell equation, photonic crystals, frozen mode.

  • AMS Subject Headings

65M60, 78A48, 78M10, 93M25

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{CiCP-2-611, author = {S. Chun and J. S. Hesthaven}, title = {Modeling of the Frozen Mode Phenomenon and Its Sensitivity Using Discontinuous Galerkin Methods}, journal = {Communications in Computational Physics}, year = {2007}, volume = {2}, number = {4}, pages = {611--639}, abstract = {

We investigate the behavior and sensitivity of the frozen mode phenomenon in finite structures with anisotropic materials, including both magnetic materials and non-normal incidence. The studies are done by using a high-order accurate discontinuous Galerkin method for solving Maxwell's equations in the time domain. We confirm the existence of the phenomenon also in the time-domain and study carefully the impact of the finite crystal on the frozen mode. This sets the stage for a thorough study of the robustness of the frozen mode phenomenon, resulting in guidelines for which design parameters are most sensitive and acceptable tolerances.

}, issn = {1991-7120}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/cicp/7920.html} }
TY - JOUR T1 - Modeling of the Frozen Mode Phenomenon and Its Sensitivity Using Discontinuous Galerkin Methods AU - S. Chun & J. S. Hesthaven JO - Communications in Computational Physics VL - 4 SP - 611 EP - 639 PY - 2007 DA - 2007/02 SN - 2 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/cicp/7920.html KW - Discontinuous Galerkin method, Maxwell equation, photonic crystals, frozen mode. AB -

We investigate the behavior and sensitivity of the frozen mode phenomenon in finite structures with anisotropic materials, including both magnetic materials and non-normal incidence. The studies are done by using a high-order accurate discontinuous Galerkin method for solving Maxwell's equations in the time domain. We confirm the existence of the phenomenon also in the time-domain and study carefully the impact of the finite crystal on the frozen mode. This sets the stage for a thorough study of the robustness of the frozen mode phenomenon, resulting in guidelines for which design parameters are most sensitive and acceptable tolerances.

S. Chun and J. S. Hesthaven. (2007). Modeling of the Frozen Mode Phenomenon and Its Sensitivity Using Discontinuous Galerkin Methods. Communications in Computational Physics. 2 (4). 611-639. doi:
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