Rigorous Coupled-Wave Analysis in Photonic Structures

Rigorous Coupled-Wave Analysis (RCWA) is a frequency-domain method for solving Maxwell’s equations in periodic, layered photonic structures. By expanding electromagnetic fields and material permittivity into Fourier series, RCWA transforms the wave interaction within each layer into an eigenvalue problem. The resulting eigensystems yield diffractive orders and field profiles, which are then matched at interfaces to compute reflection, transmission and near-field distributions. Over the past decades, refinements in factorisation rules, coordinate transformations and adaptive spatial resolution have greatly enhanced convergence and accuracy. Modern implementations leverage graphics processing units to accelerate computation by orders of magnitude, enabling rapid design iterations for gratings, metasurfaces, photonic crystals and diffractive optical elements. RCWA underpins the optimisation of devices for photovoltaics, optical sensing, beam shaping, communications and nonlinear light–matter interactions, offering a balance of analytical rigour and computational efficiency. Its capacity to predict guided-mode coupling, slow-light effects and polarisation-dependent behaviour has driven advances in solar energy harvesting, integrated photodetectors and compact holographic elements.

Research from Nature Portfolio

No recent Nature Portfolio content available.

Rigorous Coupled-Wave Analysis in Photonic Structures publication trend

The graph below shows the total number of articles in rigorous coupled-wave analysis in photonic structures across all publications each year (not limited to Nature Index journals).

Technical terms

Rigorous Coupled-Wave Analysis (RCWA): A Fourier-space method solving Maxwell’s equations in stratified periodic media via layer-by-layer eigenvalue decompositions.

Fourier Modal Method: Synonymous with RCWA, emphasising the modal expansion of fields in reciprocal space.

Eigensystem: The set of eigenvalues and eigenvectors obtained from the layer’s Fourier-space representation of Maxwell’s equations, corresponding to guided and radiative modes.

Near-field: The electromagnetic field distribution in close proximity to a photonic structure, crucial for mapping local intensity and device response.

References

1. Highly Efficient Rigorous Coupled-Wave Analysis Implementation Without Eigensystem Calculation. IEEE Access (2024).
2. Matched coordinates and adaptive spatial resolution in the Fourier modal method. Optics Express (2009).
3. Efficient wave optics modeling of nanowire solar cells using rigorous coupled-wave analysis.. Optics Express (2019).
4. Rigorous coupled-wave analysis of absorption enhancement in vertically illuminated silicon photodiodes with photon-trapping hole arrays. Nanophotonics (2019).