# Live 12-front curved-mirror beta inverse design

```{admonition} Live campaign
:class: note
Service **not active** · phase `running_bounded_beta` · checkpoint age 0.4 min. This page is regenerated and republished every minute.
```

This campaign inserts four fronts between the published 8- and 16-front devices, rasterizes the resulting **12-front-per-side** geometry, and uses that literal binary mask as the warm start. After 795 LDOS updates, the objective was switched at the exact displayed checkpoint to **β: the fraction of outward power in the two symmetry-related terminal waveguide modes**. The trainable object remains a 2D pixel grid extruded through a 200 nm silicon slab in SiO2; no arbitrary 3D voxels are used. The central 1 µm vacuum gap and terminal PML-crossing guides are immutable.

## Current metrics

| Quantity | Current value |
|---|---:|
| Total accepted updates | 1089 |
| Beta-phase updates | 294 |
| β, both symmetric guides | 0.531 |
| β, one guide | 0.266 |
| Atom-frequency LDOS / vacuum (diagnostic only) | 1.02 |
| Guided/x-radiation/y-radiation/z-radiation | 0.531 / 0.154 / 0.105 / 0.21 |
| Guided-power normalization excess | 0 |
| Conservative fitted Q | 46 |
| Pole wavelength | 1.34945 µm |
| Fit residual | 0.0748 |
| Grid | 33.33 nm |
| Fabrication state | exact binary, single extruded etch mask |

## Warm start and current design

![The 12-front warm start and current literal binary mask](../_static/generated/curved_mirror_ldos_geometry.png)

## Optimization history

![LDOS history, beta objective, and channel ledger](../_static/generated/curved_mirror_ldos_progress.png)

The current differentiated score is `log(β)` with only a mode/flux normalization-consistency penalty. There is **no LDOS or emission guard rail**: the optimizer may suppress total emission if doing so increases the guided fraction. β is constructed from one common outer surface as guided power divided by guided + residual x radiation + y radiation + z radiation, so it is bounded to [0, 1]. The port-mode calibration is compared against the complete outward x channel every iteration; an excess is reported explicitly instead of permitting an unphysical β above 100%.

The preceding LDOS phase used matched-vacuum dipole source work. Its independent two-picosecond spectrum and pole fit remain below as frozen diagnostics, not as part of the beta objective.

## Electric field

![Current literal Ez field](../_static/generated/curved_mirror_ldos_field.png)

## Independent pole audit

![Source-work LDOS spectrum and fitted pole](../_static/generated/curved_mirror_ldos_spectrum.png)

Three Cartesian mirror planes reduce the differentiated 3D solve by 8×. The dashboard mirrors the stored octant magnitude only for visualization. A single +x port solve represents both physical guides; consequently total β is twice the per-guide value.

{download}`Machine-readable live status <../_static/generated/curved_mirror_ldos_status.json>`