Coupled-modal Representation of Vectorial Optical Fields with Zero-gap Spatial Partitioning: Application to Lateral Staircase Structures

초록

We propose a coupled-modal field representation to model the optical field in an inhomogeneous medium represented by lateral staircase structures. The coupled-modal field is the mathematical field model of the coupled-mode theory (CMT), but we propose to apply this representation to continuous, connected, inhomogeneous media under the zero-gap condition. We show that, by leveraging analytic local eigenmodes, the zero-gap CMT approach provides an accurate semi-analytic computational framework and highlights its potential as a scalable and parallelizable tool for large-scale photonic field analysis.

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