Korean Journal of Optics and Photonics (한국광학회지)

Optical Society of Korea (한국광학회)
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Leaky modes of circular slab waveguides: modified airy functions

언덕형 굴절률 분포를 갖는 굽은 평판도파로에서의 누설모드 해석

  • 김경암 (서울시립대학교 전자전기컴퓨터공학부) ;
  • 곽재곤 (서울시립대학교 전자전기컴퓨터공학부) ;
  • 박권동 (서울시립대학교 전자전기컴퓨터공학부) ;
  • 김창민 (서울시립대학교 전자전기컴퓨터공학부)
  • Published : 2002.12.01
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Abstract

Circular slab waveguides are conformally mapped into straight waveguides. In the outer cladding region with monotonically increasing index profile, modified Airy functions (MAF) of traveling-wave form are introduced to express the leaky mode. Field distributions and losses calculated by the proposed method are compared with those obtained by the WKB (Wentzel-Kramers-Brillouin) method. Detailed numerical examples are presented and compared with the conventional WKB methods, demonstrating our method not only allows a converging field at turning points but also guarantees fine accuracy.

원형으로 굽은 평판 광도파로를 직선 광도파로로 등각사상화 시켰다. 단조 증가하는 굴절률 분포를 갖는 바깥쪽 클래드영역의 누설모드를 표현하기 위해 진행파형 수정된 Airy함수가 처음으로 소개되었다. 모의 전산을 통해 유도된 방법에 의한 굽음손실 및 field해 분포를 계산하고, WKB에 의한 결과와 비교하였다. 모의 전산결과 기존의 WKB 방법에 비해 회기점에서 수렴하는 해를 구할 수 있었으며, 더 정확한 굽음 손실을 계산할 수 있었다.

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References

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