# Final 12-front curved-mirror beta campaign

```{admonition} Frozen qualified success
:class: note
The campaign was stopped on 23 August 2026 after 795 LDOS updates and 294
beta updates. The paired controls, literal geometry, field, complete history,
and optimizer state are preserved in the qualified-success artifact.
```

This campaign began from the analytic 12-front-per-side curved-mirror
midpoint. A 2-D mask was extruded through a 200 nm silicon slab embedded in
SiO2. The original 1 µm-wide central vacuum strip, terminal guides, and three
Cartesian symmetry planes were hard constraints throughout. The full
420 × 196 × 128 Yee grid was solved as a 210 × 98 × 64 octant.

## Final result

| Quantity | Final value |
|---|---:|
| LDOS-discovery updates | 795 |
| Beta-continuation updates | 294 |
| Total beta, both symmetric guides | **0.531314** |
| Beta into one guide | **0.265657** |
| Source-work LDOS / vacuum | 1.01505 |
| Guided normalization excess | 0 |
| Guided / residual x / y / z fractions | 0.5313 / 0.1541 / 0.1047 / 0.2099 |
| Grid spacing | 33.33 nm |
| Material representation | exact binary, single extruded etch mask |

The bounded beta improved from **0.0227704 to 0.531314**, a factor of 23.3.
The LDOS was intentionally not protected during this phase: the score was
`log(beta)` plus only a mode/flux consistency penalty. The final LDOS near one
therefore reflects the requested willingness to suppress emission while
improving routing.

## Beginning and ending geometry

```{figure} ../_static/generated/curved_mirror_beta_final_geometry.png
:alt: Analytic twelve-front warm start beside the final exact-binary beta design

The displayed mask is the literal forward geometry, not a continuous control
heatmap. The red lines mark the former hard vacuum strip and the atom remains
at the origin.
```

## Complete optimization history

```{figure} ../_static/generated/curved_mirror_beta_final_progress.png
:alt: LDOS history followed by beta and common-surface channel histories

The beta phase reports both the objective and every mutually exclusive loss
channel. No sample can exceed 100% because modal power is reconciled with the
same enclosing flux surface on every evaluation.
```

## Final electric field

```{figure} ../_static/generated/curved_mirror_beta_final_field.png
:alt: Final atom-frequency Ez field of the stopped curved-mirror beta campaign

Atom-frequency Ez magnitude from the paired final checkpoint.
```

## Frozen pole audit

```{figure} ../_static/generated/curved_mirror_beta_final_spectrum.png
:alt: Independent source-work LDOS spectrum retained from the discovery phase

The independent source-work spectrum is retained as a diagnostic. It was not
silently substituted for the beta objective.
```

## Reproducibility record

The immutable archive is
`benchmarks/artifacts/invdes_curved_mirror_beta_twelve_front_v1.qualified_success_20260823.npz`.
It contains the evaluated and proposed controls separately, Adam moments and
age, robust-threshold cursor, current/best literal densities, final field,
all channel powers and fractions, LDOS telemetry, port effective index, and
the complete JSON history. The preceding LDOS phase remains independently
archived rather than being folded into the beta artifact.