A Study of the Numerical Characteristics of the Envelope ADI-FDTD

Envelope ADI-FDTD의 수치적 특성에 관한 연구

  • 주세훈 (한양대학교 전자전기공학부) ;
  • 정경영 (팬택&큐리텔 연구개발실) ;
  • 김형훈 (광주여자대학교 컴퓨터공학과) ;
  • 김형동 (한양대학교 전자전기공학부)
  • Published : 2003.06.01

Abstract

In this paper, the numerical characteristics of the recently developed Envelope ADI-FDTD are investigated. Through numerical simulations, it is shown that the unconditional stability of the Envelope ADI-FDTD is independent of time step size and we can get better dispersion accuracy than the traditional ADI-FDTD by analyzing the envelope of the signal. This fact gives the opportunity for extending the temporal step size to the Nyquist limit in certain cases. Numerical results show that the Envelope ADI-FDTD can be used as an efficient electromagnetic analysis tool especially in the single frequency or band limited systems.

본 논문에서는 최근에 개발된 Envelope ADI-FDTD의 수치적 특성에 대하여 고찰하였다. 수치 실험을 통하여 Envelope ADI-FDTD가 시간간격에 상관없이 무조건 안정하고, 신호의 포락선을 해석함으로써 기존의 ADI-FDTD보다 더 좋은 분산특성을 얻을 수 있음을 보였다. 이러한 특성은 특별한 경우에서는 Nyquist 극한값까지 시간간격을 키울 수 있는 가능성을 제공한다 수치결과를 통해서 Envelope ADI-FDTD가 단일주파수 또는 대역이 제한된 시스템의 해석에 있어 유용하게 사용될 수 있음을 확인하였다.

Keywords

References

  1. Computational Electrodynamics:The Finite-Difference Time-Domain Method,2nd Ed A.Taflove;S.C.Hagness
  2. IEEE Trans.Microwave Theory and Tech v.48 3-D ADI-FDTD method uncondi-tionally stable time-domain algorithm for solving full vector Maxwells equations T.NaMiki
  3. IEEE Trans.Microwave Theory and Tech v.48 Toward the development of a three-demensional uncondi-tionally stable finite difference time-domain method F.Zheng;Chen;J.Zhang
  4. IEEE Photo-nics Tech.Lett v.14 An improved ADI-FDTD method and its app-lication to photonic simulations H.Rao;R.Scarmozzino
  5. IEEE Microwave Theory and Tech v.49 Numerical dispersion ana-lysis of the unconditionally stable 3D ADI-FDTD method F.zheng;Z.chen
  6. IEEE Trans.Microwave Theory and Tech v.49 Perfectly matched layer media with CFS for anunconditionally stable ADI-FDTD method S.D.Gedney;G.Liu;J.A.Roden;A.Zhu
  7. IEEE Trans.Microwave Theory and Tech v.48 Investigation of numerial errors of the two-dimensional ADI-FDTD method T.Namiki;K.Ito
  8. Numerical Recipes in C W.H.Press;B.P.Flannery;S.A.Teukolsky;W.T.Vetterling