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ARTICLE SUMMARY / 2025

RCWA4D: Electromagnetic solver for layered structures with incommensurate periodicities

B. Lou & S. Fan

Computer Physics Communications · 306, 109356

Summary

How can twisted or incommensurate patterned layers be simulated?

Expands the plane-wave basis to represent multiple lattice periodicities.

Demonstrates calculations for twisted bilayer photonic-crystal slabs.

Commentary

The enlarged basis can still be costly. “4D” describes the representation, not four physical spatial dimensions.

Connects familiar layered scattering to moiré geometry without assuming a small common unit cell.

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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2024 / Numerical method

Legume: A free implementation of the guided-mode expansion method for photonic crystal slabs

S. Zanotti, M. Minkov, D. Nigro, D. Gerace, S. Fan & L. C. Andreani

Expands fields in guided modes and adds symmetry, radiation and excitonic coupling treatments.

Summary & commentary : Legume: A free implementation of the guided-mode expansion method for photonic crystal slabs