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ARTICLE SUMMARY / 2026

Matrix Square Root Based Differentiable RCWA Implementation for High-Performance Parallel Computing

F. Van der Ceelen, Y. Shao & W. Coene

Progress In Electromagnetics Research C · 163, 60–72

Summary

Can RCWA differentiation and parallel execution improve together?

Replaces eigendecomposition with matrix-square-root and matrix-exponential evaluations.

Targets a numerical bottleneck in optical-response optimization and parameter retrieval.

Commentary

Matrix-function convergence, branch choices and precision remain numerical concerns; no universal speed factor is assumed here.

Changes the forward-solver machinery while retaining the layered electromagnetic problem.

Interpretation and connections in this note, separate from the authors’ reported findings.

Related modelling approaches

Relation labels come from the method guide and are editorial. Unlabelled links are conceptual connections or comparison methods; the paper does not necessarily implement them.

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