Modal analysis of strip-loaded diffused optical waveguides by a variational method

A simple and accurate model analysis of strip-loaded optical waveguides with various index profiles

“…A comparison of these results indicates that the present results match very well with those reported by Diestel [7] and Geshiro et al [5]. [5] obtained by variational analysis while the crosses correspond to the present results. The figure indicates that the present results also match excellently with those obtained by variational analysis.…”

“…In The solid curves and circles correspond to the results obtained by using the method of lines [7] and variational method [ 5 ] , respectively, while the crosses represent the results obtained by using the perturbation approach. A comparison of these results indicates that the present results match very well with those reported by Diestel [7] and Geshiro et al [5]. [5] obtained by variational analysis while the crosses correspond to the present results.…”

“…The exact analytical modal analysis for such waveguides is not possible because of their complicated refractive index distribution and the presence of the comers. As a result, various approximate methods such as the effective index method [2]- [4], the variational method [5], [6], the method of lines [7], the mode matching method [8], and the finite element method [9] have been used in order to obtain the propagation characteristics of such waveguides.…”

Theoretical and experimental investigation of GaAs/GaAlAs and n/n+GaAs rib waveguides

“…The theory of the variational analysis technique has been previously presented [3] - [ 6 ] . This method of analysis provides a procedure for obtaining solutions in the form of functions which are close to the exact solution of the boundary value problem.…”

“…In this paper, the modal effective indices and intensity distributions of semiconductor rib waveguides have been evaluated numerically using a variational technique. A similar approach has been used by Matsuhara [ 3 ] for analyzing dielectric rectangular waveguides, by Ohtaka et al [4] for analyzing glass rib waveguides and optical striplines and by Taylor [5] and Geshiro et al [6] for investigating diffused channel waveguides and diffused strip-loaded waveguides, respectively. Here the waveguiding properties of nln' GaAs and GaAsfGaAIAs rib waveguides are presented for various waveguide geometries.…”