On the basis of the transfer-matrix technique, the concept of the equivalent attenuated vector is proposed and used to analyze the characteristics of the propagating modes in planar optical waveguides with graded refractive-index profile; an exact analytic equation is obtained for the dispersion equation of arbitrary graded refractive-index planar optical waveguides.
© 1998 Optical Society of America
Li Zhan and Zhuangqi Cao, "Exact dispersion equation of a graded refractive-index optical waveguide based on the equivalent attenuated vector," J. Opt. Soc. Am. A 15, 713-716 (1998)