A Stability Improvement Technique Using PML Condition for the Three-Dimensional Nonuniform Mesh Nonstandard FDTD Method

Author

Ohtani, T. ; Kanai, Yasukazu ; Cole, J.B.

Volume

49

Issue

5

fYear

2013

fDate

May-13

Firstpage

1569

Lastpage

1572

Abstract

We propose a technique to improve the stability of three-dimensional (3D) nonuniform mesh nonstandard FDTD (NS-FDTD) calculations. To mitigate the numerical instability arising from the connection of different-sized meshes, our method combines the usual interpolation fields and perfectly matched layer (PML) condition at mesh interfaces. We examine a connection for a mesh size ratio of 3:1, and show numerically that our technique improves the stability of 3D NS-FDTD calculation on nonuniform meshes. Our technique is also applied to analyze the fields around a periodic slot panel.

Keywords

finite difference time-domain analysis; interpolation; stability; 3D NS-FDTD calculation stability; PML condition; different-sized mesh connection; interpolation fields; mesh interfaces; mesh size ratio; numerical instability mitigation; perfectly matched layer condition; periodic slot panel; stability improvement technique; three-dimensional nonuniform mesh nonstandard FDTD calculations; three-dimensional nonuniform mesh nonstandard FDTD method; FDTD methods; nonstandard FDTD (NS-FDTD) methods; nonuniform mesh; perfectly matched layer (PML);

fLanguage

English

Journal_Title

Magnetics, IEEE Transactions on

Publisher

ieee

ISSN

0018-9464

Type

jour

DOI

10.1109/TMAG.2013.2238613

Filename

6514548