Metasurface.ir · Chapter 5

From a phase ramp to an outgoing beam

Compare four saved full-wave TE supercells with their local unit-cell predictions. Controls switch verified geometries; they do not run a solver.

Expanded phase library

Desired-order / incident power
Desired-order / transmitted power
Local-mask estimate

Transmitted power by diffraction order

Teal: full-wave incident-normalized power. Orange: local-mask estimate.

An open order can carry zero power. The local mask omits the collective Maxwell boundary solution and need not conserve power.

Allowed directions and calculated powers

OrderAngle in substrateReflected powerTransmitted powerLocal T estimate

Incidence is normal. Glass-side orders −3 through +3 are open; air-side reflection supports −2 through +2. The desired direction for the reversed sequence is −1.

Model and numerical evidence

All ridges in a sequence share one height. They are invariant along y, with TE Ey, real constant indices, and exp(−iωt). Reflection is referenced to z=0 and transmission to z=height. This is an infinitely repeated supercell; it has no finite aperture or material dispersion.

The exported phase library, geometry selection, modal powers, and refinement records come from the executed notebook. A separate grcwa comparison refines its raster independently. Both implementations use RCWA; no FEM/FDTD or fabricated-device validation is claimed.