Transformation optics based moving frame FDTD method

Jinjie Liu, Moysey Brio

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

In this work, we propose a new moving frame FDTD method based on the use of transformation optics (TO). Using TO, the time dependent Maxwell's equations are invariant but become magneto-electric in the moving frame and can be solved by a magneto-electric Maxwell solver. Previous proposed moving frame FDTD methods, such as the Lagrangian frame FDTD method, only transform the independent variables of the Maxwells equations that lead to instability due to numerical discretization of the additional advection terms introduced by the transformation and the PML boundary. In contrast, our method transform dependent and independent variables of the Maxwells equations to obtain an invariant form (no additional advection terms are introduced) so that instability problem is avoided. Numerical examples are presented to test the performance of our method.

Original languageEnglish (US)
Title of host publicationProceedings - 2014 International Conference on Electromagnetics in Advanced Applications, ICEAA 2014
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages452-454
Number of pages3
ISBN (Electronic)9781467357104
DOIs
StatePublished - Sep 18 2014
Event16th International Conference on Electromagnetics in Advanced Applications, ICEAA 2014 - Palm Beach, Aruba
Duration: Aug 3 2014Aug 8 2014

Publication series

NameProceedings - 2014 International Conference on Electromagnetics in Advanced Applications, ICEAA 2014

Other

Other16th International Conference on Electromagnetics in Advanced Applications, ICEAA 2014
CountryAruba
CityPalm Beach
Period8/3/148/8/14

ASJC Scopus subject areas

  • Electrical and Electronic Engineering
  • Radiation

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  • Cite this

    Liu, J., & Brio, M. (2014). Transformation optics based moving frame FDTD method. In Proceedings - 2014 International Conference on Electromagnetics in Advanced Applications, ICEAA 2014 (pp. 452-454). [6903895] (Proceedings - 2014 International Conference on Electromagnetics in Advanced Applications, ICEAA 2014). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/ICEAA.2014.6903895