한국광학회지 (Korean Journal of Optics and Photonics)

  • 제13권6호
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  • Pages.473-478
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  • 2002
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  • 1225-6285(pISSN)
  • /
  • 2287-321X(eISSN)
한국광학회 (Optical Society of Korea)
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언덕형 굴절률 분포를 갖는 굽은 평판도파로에서의 누설모드 해석

Leaky modes of circular slab waveguides: modified airy functions

  • 김경암 (서울시립대학교 전자전기컴퓨터공학부) ;
  • 곽재곤 (서울시립대학교 전자전기컴퓨터공학부) ;
  • 박권동 (서울시립대학교 전자전기컴퓨터공학부) ;
  • 김창민 (서울시립대학교 전자전기컴퓨터공학부)
  • 발행 : 2002.12.01
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초록

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.

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.

키워드

참고문헌

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