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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 저널정보
- 대한전자공학회 IEIE Transactions on Smart Processing & Computing IEIE Transactions on Smart Processing & Computing Vol.6 No.5
- 발행연도
- 2017.10
- 수록면
- 365 - 371 (7page)
- DOI
- 10.5573/IEIESPC.2017.6.5.365
이용수
초록· 키워드
오류제보하기
In this study, the eigen-modes of square photonic crystal fiber (PCF) were calculated from the numerical analysis method. The vector Helmholtz equation was reconstructed as an eigenmatrix equation using the finite element method (FEM). This eigen-equation was found to depend on the wave numbers varying in a finite range. The Krylov-Schur iteration method was applied to transform this equation into the Schur form. Several prominent eigen-modes were determined from the column matrices of the similarity transform matrix. According to the eigen-modes, the eigenvalues were obtained from the diagonal components of the Schur matrix. The transverse and longitudinal eigen-modes were arranged as a function of the operating wave numbers. Finally, the dispersion relation between wave numbers and propagation constants was graphically represented.
목차
Abstract
1. Introduction
2. β -formulation
3. Results and Discussion
4. Conclusion
References
참고문헌 (13)
참고문헌 신청
John M. Dudley, Goery Genty and Stephane Coen, “Supercontinuum generation in photonic crystal fiber” Rev. Mod. Phys., Vol. 78, No. 4, Oct.?Dec. 2006. Article(CrossRef Link)
John D. Joannopoulos, Steven G. Johnson, Joshua N. Winn and Robert D. Meade, “Photonic Crystals: Molding the Flow of Light”, 2nd Ed. Princeton Press Chap 9, 2008. Article(CrossRef Link)
Eugene Hecht, “OPTICSP 2nd Ed.” Addison-Express Publishing Company, pp. 170-176, 1986. Article(CrossRef Link)
A. Nicolet, F. Zolla, “Finite element analysis of helicoidal waveguides,” IET Science, Measurement & Technology, Vol 1, Issue 1, pp. 67-70, Jan. 2007. Article(CrossRef Link)
G. W. Stewart, “A Krylov Schur Algorithm for Large Eigenproblems” SIAM J. Matrix Anal. & Appl. Vol. 23, No. 3, pp. 601-614, 2002. Article(CrossRef Link)
Eugene Hecht, “OPTICSP 2nd Ed.” Addison-Express Publishing Company, pp. 170-176, 1986. Article(CrossRef Link)
A. Nicolet, F. Zolla, “Finite element analysis of helicoidal waveguides,” IET Science, Measurement & Technology, Vol 1, Issue 1, pp. 67-70, Jan. 2007. Article(CrossRef Link)
G. W. Stewart, “A Krylov Schur Algorithm for Large Eigenproblems” SIAM J. Matrix Anal. & Appl. Vol. 23, No. 3, pp. 601-614, 2002. Article(CrossRef Link)
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