Fourier Modal Method With Selective Modal Reduction for Scalable Analysis of 3-D Extended-Area-Emitting Photonic Structures

초록

This paper presents a reformulation of the three-dimensional Fourier modal method (3D-FMM) incorporating selective modal dimension reduction (MDR) for the efficient simulation of complex photonic structures. By leveraging the observation that light extraction in self-emissive devices, such as organic light-emitting diodes (OLEDs), is primarily governed by a limited subset of physically relevant modes, the proposed method selectively retains these modes while excluding highly evanescent ones. This approach effectively reduces the computational size of main matrix operations, including matrix inversions, without a significant loss of accuracy. Specifically, by utilizing boundary scattering matrices (S-matrices) and phase retardation operators, the framework decomposes standard 4L & times; 4L linear systems into half-dimensional operations to minimize peak memory consumption. The developed 2L FMM enables flexible, adaptive mode selection throughout the multi-block simulation. Validation results for a 3D OLED structure demonstrate an 25.6% reduction in peak memory usage and an 13.9% reduction in computation time compared to conventional formulations, while maintaining a minimal 0.23% difference in extracted power.

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