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Steer a beam with a dielectric cover

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A dipole radiates above a metal reflector. A patterned dielectric cover changes the phase of the outgoing field across the aperture. This example connects that material pattern to the direction of the main radiation lobe.

Historical design visualization. This is the 441-latent-variable trajectory on a wavelength/20 mesh. The plotted response is directivity; it does not establish realized gain, efficiency or broadband performance.

Left: the dielectric cover’s relative permittivity. Center: a directional radiation cut. Right: objective sensitivities to latent design variables, ∂L/∂latent, not to physical permittivity ∂L/∂εr. Each frame is a design iteration, not a field time step.

Read the model

PartMeaning
RadiatorAn electric dipole above a metal reflector
Design regionA dielectric cover above the source
ParameterizationA latent grid mapped into a spatial permittivity field
MeasurementA near-to-far-field transform and an angular directivity cut
ObjectiveConcentrate radiation toward the selected direction while penalizing other directions

A radiation cut shows how intensity varies with angle. Directivity compares directional intensity with total radiated power; it does not include every loss or mismatch that would enter realized gain.

Follow the descent

A complementary historical optimization view. Keep its drawn values with its own mesh and parameterization; the presentation’s finer-mesh summary and full-cell design are separate results.

The versioned beam-steering source provides a short CPU setup. Run it from a matching source checkout with the example dependencies installed:

Terminal window
python -m pip install -e ".[optimization]"
SMOKE=1 JAX_PLATFORMS=cpu PYTHONPATH=. python validation/tmtt_paper/beam_steering_superstrate.py

The short setup uses a coarse mesh and a few optimizer steps. It exercises the source workflow and produces a pattern figure; it does not reproduce the archived latent-variable movie or validate its numerical values.

Try changing: the initial cover profile or target direction. Check the whole pattern, total-power normalization and collection-surface placement. See Far-field & RCS for the measurement and Gradient behavior for differentiation limits.

Evidence and provenance

The exact simulation source revision is not established by the public media bundle. The clips preserve presentation-era results; no new mesh, time-record or independent-solver validation accompanies them. Raw latent histories and field arrays are not included. In particular, a falling objective alone does not establish the accuracy of the final RF design.

Media catalog and SHA-256 hashes · Support Boundaries · Visual manual

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