数学物理学报(英文版) ›› 2009, Vol. 29 ›› Issue (6): 1670-1676.doi: 10.1016/S0252-9602(10)60009-4

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A DIAGONAL SPLIT-CELL MODEL FOR THE OVERLAPPING YEE FDTD METHOD

 Jinjie Liu, Moysey Brio, Jerome V. Moloney   

  1. Department of Mathematical Sciences, Delaware State University, Dover, DE 19901, USA; Arizona Center for Mathematical Sciences, Department of Mathematics, University of Arizona, Tucson, AZ 85721, USA
  • 收稿日期:2009-10-31 出版日期:2009-11-20 发布日期:2009-11-20
  • 基金资助:

    This work is supported by the Air Force Office of Scientific Research (AFOSR)under Grant numbers FA9550-04-1-0213 and FA9550-07-1-0010.

A DIAGONAL SPLIT-CELL MODEL FOR THE OVERLAPPING YEE FDTD METHOD

 Jinjie Liu, Moysey Brio, Jerome V. Moloney   

  1. Department of Mathematical Sciences, Delaware State University, Dover, DE 19901, USA; Arizona Center for Mathematical Sciences, Department of Mathematics, University of Arizona, Tucson, AZ 85721, USA
  • Received:2009-10-31 Online:2009-11-20 Published:2009-11-20
  • Supported by:

    This work is supported by the Air Force Office of Scientific Research (AFOSR)under Grant numbers FA9550-04-1-0213 and FA9550-07-1-0010.

摘要:

In this paper, we present a nonorthogonal overlapping Yee method for solving Maxwell's equations using the diagonal split-cell model. When material interface is presented, the diagonal split-cell model does not require permittivity averaging so that better accuracy can be achieved.
Our numerical results on optical force computation show that the standard FDTD method converges linearly, while the proposed method achieves quadratic convergence and better accuracy.

关键词: FDTD method, Overlapping Yee method, Maxwesl equations, Optical force

Abstract:

In this paper, we present a nonorthogonal overlapping Yee method for solving Maxwell's equations using the diagonal split-cell model. When material interface is presented, the diagonal split-cell model does not require permittivity averaging so that better accuracy can be achieved.
Our numerical results on optical force computation show that the standard FDTD method converges linearly, while the proposed method achieves quadratic convergence and better accuracy.

Key words: FDTD method, Overlapping Yee method, Maxwesl equations, Optical force

中图分类号: 

  • 78M12