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Improvement of 3-Dimensional Finite-Difference Beam Propagation Method by Combining the Implicit and the Explicit methods

Implicit와 explicit 방법의 결합에 의한 3차원 유한차분 빔전파 방법의 개선

  • Kim, Hyun-Jun (Integrated Photonics Technology Research Center, School of Information and Communication, INHA Univ.) ;
  • O, Beom-Hoan (Integrated Photonics Technology Research Center, School of Information and Communication, INHA Univ.) ;
  • Park, Se-Geun (Integrated Photonics Technology Research Center, School of Information and Communication, INHA Univ.) ;
  • Lee, El-Hang (Integrated Photonics Technology Research Center, School of Information and Communication, INHA Univ.) ;
  • Lee, Seung-Gol (Integrated Photonics Technology Research Center, School of Information and Communication, INHA Univ.)
  • 김현준 (인하대학교 정보통신 공학부, 집적형광자기술 연구센터) ;
  • 오범환 (인하대학교 정보통신 공학부, 집적형광자기술 연구센터) ;
  • 박세근 (인하대학교 정보통신 공학부, 집적형광자기술 연구센터) ;
  • 이일항 (인하대학교 정보통신 공학부, 집적형광자기술 연구센터) ;
  • 이승걸 (인하대학교 정보통신 공학부, 집적형광자기술 연구센터)
  • Published : 2004.12.01

Abstract

We propose a hybrid method combining the implicit with the explicit methods in order to reduce the calculation time and improve the convergence problem of the 3-dimensional finite-difference beam propagation method. The numerical simulation of a directional coupler is carried out by the proposed method. It is found from the simulation results that the calculation speed of our method is 10 times faster than that of direct solving techniques.

3차원 유한 차분 빔전파 방법의 계산시간 및 수렴성 문제를 해결하기 위해서 implicit와 explicit 방법을 결합하는 복합 방법(hybrid method)을 제안하였다. 방향성 결합기의 결합길이를 결정하는 문제를 대상으로 제안된 방법과 implicit 방정식의 해를 직접 구하는 방법의 계산 시간을 비교하였다. 그 결과 직접 풀이법에 비해 제안된 방식의 계산 속도가 최소 10배 이상 빠름을 확인하였다.

Keywords

References

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