TY - GEN
T1 - Transformation optics based moving frame FDTD method
AU - Liu, Jinjie
AU - Brio, Moysey
N1 - Publisher Copyright:
© 2014 IEEE.
PY - 2014/9/18
Y1 - 2014/9/18
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=84908575993&partnerID=8YFLogxK
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U2 - 10.1109/ICEAA.2014.6903895
DO - 10.1109/ICEAA.2014.6903895
M3 - Conference contribution
AN - SCOPUS:84908575993
T3 - Proceedings - 2014 International Conference on Electromagnetics in Advanced Applications, ICEAA 2014
SP - 452
EP - 454
BT - Proceedings - 2014 International Conference on Electromagnetics in Advanced Applications, ICEAA 2014
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 16th International Conference on Electromagnetics in Advanced Applications, ICEAA 2014
Y2 - 3 August 2014 through 8 August 2014
ER -