# Showcase

Channel: development; package: 2.0.0rc1; source: 2c32b7cf79b796fae825bfa08fc73d9914e61723

Page: https://remilab.ai/rfx/showcase/
Source: https://github.com/bk-squared/rfx/blob/2c32b7cf79b796fae825bfa08fc73d9914e61723/docs/public/showcase/index.mdx

Each case below was computed with the current rfx code on the lab's VESSL
cluster and checked by something other than the gradient itself: finite
differences, a closed-form optimum, or another solver on the same board. The
figures, loops and data are downloadable, and each case has a machine-readable
result.json.

  
    [![Map of the derivative of |S11|² with respect to the permittivity of each substrate cell under a patch antenna, beside its |S11| curve and its |E_z|² map](https://remilab.cnu.ac.kr/share/7c02ad43c580/patch-sensitivity/patch_sensitivity_site.png)](https://remilab.ai/rfx/showcase/sensitivity-map/)
    Which cells move the match?
    One reverse pass maps the sensitivity of a patch antenna's |S11| to every substrate cell.
    20,592 cells, one pass
    [Read the case →](https://remilab.ai/rfx/showcase/sensitivity-map/)
  
  
    [![Bar chart of wall time on an RTX A6000 for a forward run, the value and gradient, and central differences, for three design regions](https://remilab.cnu.ac.kr/share/7c02ad43c580/patch-sensitivity/gradient_cost_site.png)](https://remilab.ai/rfx/showcase/gradient-cost/)
    What a gradient costs
    Time and memory for the value and gradient against a forward run, as the design region grows.
    24 s vs 4.9–16.8 days
    [Read the case →](https://remilab.ai/rfx/showcase/gradient-cost/)
  
  
    [![Reflection of a three-layer anti-reflection coating, its layer permittivities over the Adam iterations, and the band-mean reflection against the transfer-matrix optimum](https://remilab.cnu.ac.kr/share/7c02ad43c580/ar-coating/ar_coating_site.png)](https://remilab.ai/rfx/showcase/descent-to-optimum/)
    Descend to the closed-form optimum
    Adam through the FDTD solve finds the three layer permittivities of a broadband anti-reflection coating.
    within 1.1 % of the transfer-matrix optimum
    [Read the case →](https://remilab.ai/rfx/showcase/descent-to-optimum/)
  
  
    [![Input impedance of the RT/Duroid 5880 probe-fed patch from rfx and from openEMS](https://remilab.cnu.ac.kr/share/7c02ad43c580/forward-patch/forward_curves_rt5880_patch_site.png)](https://remilab.ai/rfx/showcase/forward-checks/)
    The forward model next to openEMS
    Input impedance of the patch and |S21| of a microstrip notch filter, on the same boards as openEMS.
    being re-measured under the current settling check
    [Read the case →](https://remilab.ai/rfx/showcase/forward-checks/)
  

More cases are being recomputed with the current code: the waveguide dielectric
taper and the beam-steering dielectric cover from the 2026 paper. Their original
films are kept in [the archive](https://remilab.ai/rfx/gallery/) until then.