DocumentCode :
941288
Title :
Mode dispersion and delay characteristics of optical waveguides using equivalent TL circuits
Author :
Boucouvalas, Anthony C. ; Qian, Xin
Author_Institution :
Microelectron. & Multimedia Res. Center, Bournemouth Univ., Dorset, UK
Volume :
41
Issue :
7
fYear :
2005
fDate :
7/1/2005 12:00:00 AM
Firstpage :
951
Lastpage :
957
Abstract :
A new analysis leading to an exact and efficient algorithm is presented for calculating directly and without numerical differentiation the mode dispersion characteristics of cylindrical dielectric waveguides of arbitrary refractive-index profile. The new algorithm is based on the equivalent transmission-line (T-L) technique. From Maxwell´s equations, we derive an equivalent T-L circuit for a cylindrical dielectric waveguide. Based on the TL-circuit model we derive exact analytic formulas for a recursive algorithm which allows direct calculation of mode delay and dispersion. We demonstrate this technique by calculating the fundamental mode dispersion for step, triangular, and linear chirp optical fiber refractive index profiles. The accuracy of the numerical results is also examined. The proposed algorithm computes dispersion directly from the propagation constant without the need for curve fitting and subsequent successive numerical differentiation. It is exact, rapidly convergent, and it results in savings for both storage memory and computing time.
Keywords :
Maxwell equations; chirp modulation; delays; optical fibre communication; optical fibre dispersion; optical waveguide theory; refractive index; transmission line theory; Maxwell equations; TL-circuit model; cylindrical dielectric waveguides; delay characteristics; equivalent transmission-line circuits; linear chirp optical fiber; mode delay; mode dispersion; optical waveguides; propagation constant; recursive algorithm; refractive-index profile; triangular chirp optical fiber; Algorithm design and analysis; Circuit analysis; Dielectrics; Maxwell equations; Optical fiber dispersion; Optical refraction; Optical variables control; Optical waveguides; Propagation delay; Transmission lines; Fiber-optic mode dispersion; optical communications; optical waveguides; transmission-line (T-L) techniques;
fLanguage :
English
Journal_Title :
Quantum Electronics, IEEE Journal of
Publisher :
ieee
ISSN :
0018-9197
Type :
jour
DOI :
10.1109/JQE.2005.848918
Filename :
1453718
Link To Document :
بازگشت