For weakly guiding noncircular single-mode waveguides, we definethe generalized frequency v and find that the fourparameters [v, b(v), d(vb)/dv, vd2(vb)/dv2]play an important role in the theory of noncircular waveguides. Wealso derive the relations between the Laplacian mode-field half-width(MFHW) and the propagation constant, normalized propagationconstant, group delay time/unit length, composite materialdispersion, composite waveguide dispersion, composite profiledispersion, modal birefringence, beat length, polarization-modedispersion, Rayleigh scattering loss, and MFHWW∞. We also derive Brown’s identity by anew and simple method. Finally, we use our analytical theory todesign a new periodic fiber system.
© 1997 Optical Society of America
Original Manuscript: March 12, 1996
Revised Manuscript: October 24, 1996
Published: June 1, 1997
A. H. Liang, "Transmission characteristics related to Laplacian mode-field half-width of noncircular single-mode waveguides," Appl. Opt. 36, 3793-3801 (1997)