Eigenmode analysis of optical waveguides by a Yee-mesh-based imaginary-distance propagation method for an arbitrary dielectric interface

Abstract

Abstract-A modified finite-difference (FD) formula for an arbitrary dielectric interface is applied to an imaginary-distance propagation method based on Yee's mesh. To confirm the validity of the modified method, we first analyze the eigenmode of a step-index circular fiber. A reduction in a discretization error is demonstrated in the evaluation of the field profile. Calculations of the normalized propagation constant show that the convergence rate of the modified FD formula is faster than that of traditional techniques and is comparable to that of a body-of-revolution technique. As a further application, we analyze the eigenmodes of sloped-side rib guides. These data agree well with previously published data.

Semivector Finite-Difference Formula for the Analysis of a Step-Index Waveguide With a Tilted Interface

“…It is revealed that the present scheme provides almost the same results as those obtained with the "seven-point scheme," in spite of the reduced sampling points. For further reference, the data obtained with the Yee-mesh BPM [4] are plotted. Good agreement is found to exist between the converged values.…”

“…C ONSIDERABLE effort has been made to improve a finite-difference (FD) formula for the analysis of a step-index optical waveguide [1]- [4]. Pioneering work on a modified FD formula was carried out by Stern [1], who introduced the concept of a semivectorial mode.…”

Analysis of Polarization Splitters Composed of Multilayer Thin-Film Waveguides Using the Beam-Propagation Method Based on Yee's Mesh

“…The imaginary-distance YM-BPM [10]- [12] is employed to analyze the eigenmodes of MTFWs. This method that was proposed by Lee [10] is the full-vectorial explicit finite-difference method based on Yee's mesh.…”

Eigenmode analysis of a light-guiding metal line loaded on a dielectric substrate using the imaginary-distance beam-propagation method

“…As an alternative, we therefore employ a technique for iteratively renewing [10], [18]. In this technique, the effective index is calculated from (11) where the weighted average is introduced to minimize numerical errors [20], [21]. In the practical calculation, is updated using obtained at the previous step .…”