Title :
Theory of the circular harmonics expansion method for multiple-optical-fiber system
Author :
Chang, Chih-Sheng ; Chang, Hung-Chun
Author_Institution :
Dept. of Electr. Eng., Nat. Taiwan Univ., Taipei, Taiwan
fDate :
3/1/1994 12:00:00 AM
Abstract :
The circular harmonics expansion method that has been applied to solve the modal characteristics of multiple-core fiber structure is given a formal derivation. The validity of the field expansion expression in the method is rigorously proved by expanding the Green´s function for the scalar wave equation in a surface integral equation into circular harmonics. It is found that for coupled round cores only the modified Bessel functions of the second kind are needed in the expansion, and that the modified Bessel functions of the first kind do not appear in the expansion
Keywords :
Bessel functions; Green´s function methods; harmonic analysis; optical fibre theory; optical fibres; Green´s function; circular harmonics expansion method; coupled round cores; field expansion expression; first kind; formal derivation; modal characteristics; modified Bessel functions; multiple-core fiber structure; multiple-optical-fiber system; scalar wave equation; second kind; surface integral equation; Dielectrics; Green´s function methods; Integral equations; Magnetic cores; Optical fiber theory; Optical surface waves; Optical waveguides; Partial differential equations; Rectangular waveguides; Surface waves;
Journal_Title :
Lightwave Technology, Journal of
