Author(s): Hsiao, CS (Hsiao, C. S.); Chiang, YJ (Chiang, Y. J.); Wang, LK (Wang, Likarn);
Lin, WW (Lin, Wen-Wei)
Title: A semi-analytic method for solving rib-type waveguide problems Source: JOURNAL OF MODERN OPTICS, 55 (8): 1315-1329 2008 Language: English
Document Type: Article
Author Keywords: semi-analytic method; Fourier cosine series expansion; rib-type waveguides; eigenmode equation
KeyWords Plus: FINITE-DIFFERENCE METHOD; BEAM-PROPAGATION METHOD;
BOUNDARY-CONDITIONS; SCALAR
Abstract: A new semi-analytic method for solving optical rib-type waveguide problems is presented. In the method, the cross-section of a rib-type waveguide is divided into several regions. In each region, the refractive index pro. le and field distribution are expanded into Fourier cosine series, and then are substituted in the wave equation. A second-order differential matrix equation is then derived for each region, with a closed-form solution obtainable. With the boundary conditions used, an eigenmode equation for the rib waveguide can be derived and solved numerically to give the modal indices. Here, the presented method is used to deal with two rib waveguides in different geometric dimensions and/or compositions, respectively. Computational results show that the presented method is quite efficient, in terms of CPU time, in finding the modal indices accurately. The relative error in computing the modal index with the method is about 10(-5)-10(-6).
Addresses: [Wang, Likarn] Natl Tsing Hua Univ, Inst Photon Technol, Hsinchu, Taiwan;
[Hsiao, C. S.] Asia Univ, Dept Comp & Commun, Taichung, Taiwan; [Chiang, Y. J.] Accton Technol Cooporat, Hsinchu, Taiwan; [Lin, Wen-Wei] Natl Tsing Hua Univ, Dept Math, Hsinchu, Taiwan
Reprint Address: Wang, LK, Natl Tsing Hua Univ, Inst Photon Technol, Hsinchu, Taiwan.
E-mail Address: [email protected]
Cited References: BERRY GM, 1994, ELECTRON LETT, V30, P2029.
BERRY GM, 1995, IEE P-OPTOELECTRON, V142, P66.
BURKE SV, 1989, ELECTRON LETT, V25, P605.
HADLEY GR, 1995, J LIGHTWAVE TECHNOL, V13, P465.
HUANG WP, 1992, J LIGHTWAVE TECHNOL, V10, P295.
KAWANO K, 2001, INTRO OPTICAL WAVEGU, CH3.
KOSHIBA M, 1992, IEE PROC-J, V139, P166.
KRIEZIS EE, 1995, J LIGHTWAVE TECHNOL, V13, P692.
KUBLANOVSKAJA VN, 1969, SOV MATH DOKL, V10, P1240.
LIU PL, 1993, IEEE J QUANTUM ELECT, V29, P2639.
LUSSE P, 1994, J LIGHTWAVE TECHNOL, V12, P487.
NORO H, 1996, J LIGHTWAVE TECHNOL, V14, P1546.
RAHMAN BMA, 1985, IEE PROC-J, V132, P349.
SMARTT CJ, 1994, IEE C PUBLICATION, V384, P335.
STERN MS, 1988, IEE PROC-J, V135, P56.
TSUJI Y, 2002, J LIGHTWAVE TECHNOL, V20, P463.
YEVICK D, 1989, IEEE J QUANTUM ELECT, V25, P221.
YOUNG B, 1991, IEEE T MICROW THEORY, V39, P1836.
Cited Reference Count: 18 Times Cited: 0
Publisher: TAYLOR & FRANCIS LTD
Publisher Address: 4 PARK SQUARE, MILTON PARK, ABINGDON OX14 4RN, OXON, ENGLAND
ISSN: 0950-0340
DOI: 10.1080/09500340701652295 29-char Source Abbrev.: J MOD OPTIC ISO Source Abbrev.: J. Mod. Opt.
Source Item Page Count: 15 Subject Category: Optics
ISI Document Delivery No.: 313TY
