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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 = {}, 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 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 & J. S. Hesthaven. (2020). 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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