XYZ-symmetric SiN/SiO2 y-atom air-strip Q/V optimizer#
Worker: not active · stage: projected_q_over_v_continuation ·
status: stopped_by_request_final_validation · checkpoint age: 5657.3 min
This paused campaign starts from density 0.5
in a 100 nm SiN design layer embedded between 300 nm SiO2 layers in a
16 µm × 2 µm design. A centered
y-oriented atom lies in an immutable one-micron vacuum strip through every
material layer. Full x/y/z symmetry leaves one octant and gives the unfolded
bright source pair unit total power. Raw Adam first minimizes the fixed absolute
temporal error. At step 50, a trustworthy Q≥100 activates the pole handoff. Stage B uses adaptive-trust L-BFGS-B to
maximize only log(Q_harmonic)-log(V_atom/(lambda_pole/n_air)^3) over every raw
topology pixel, the full SiN thickness, and the SiO2 thickness on each side.
The thickness map enforces t_SiO2 >= t_SiN + 0.050 µm for every proposal.
After the raw-pixel and tangent-binarity directions plateaued, Stage C switched
to conventional unfiltered tanh-projection continuation. It optimizes only Q/V
for six trials at fixed beta, raises beta by 0.5, and repeats from beta=1 to 32.
Near-binary bulk hands off by exact replay to a topology-preserving cubic-spline
level-set boundary, which then resumes direct Q/V optimization. There is no
spatial filter or binarity term in the scalar objective.
quantity |
current |
|---|---|
temporal Adam updates |
50 / at least 50 |
pole accepted updates / trials |
528 / 1611 |
Q |
23337.9 |
best recorded Q (trust gate shown above) |
23408.9 |
field / energy Q |
23337.9 / 23480.3 |
Q-estimator ratio |
1.0061 |
pole wavelength |
837.526 nm |
source-center wavelength |
836.564 nm |
field-monitor wavelength |
836.564 nm |
design-region slab thickness |
0.293695 µm |
Stage-B thickness coordinate / range |
True / 0.050–0.500 µm |
SiO2 thickness per side |
0.343712 µm |
Stage-B SiO2 coordinate / maximum |
True / 1.000 µm |
stack-thickness constraint |
t_SiO2 − t_SiN ≥ 0.050 µm |
SiO2 full width |
2 µm |
joint-stage SiO2 width coordinate / range |
False / 2.000–2.000 µm |
physical mode volume |
3.89716 µm³ |
normalized mode volume |
6.63366 (λ_pole/n_air)³ |
Q / normalized atom volume |
3528.81 |
Purcell from Q/V |
268.157 |
fitted atom-pole amplitude at source clear |
0.0641632 |
absolute atom-trace peak / handoff |
0.122394 |
source spectral power at pole / actual carrier |
0.844164 |
reciprocal guided-Purcell proxy |
0.030625 |
guided-Purcell proxy / handoff |
3902.89 |
Stage-B volume treatment |
none — log Q / normalized atom volume is optimized |
three-window V span |
0.000118202 |
active Q/V run time / window |
— / — ps |
gradient backend / storage |
|
structural backend decision |
|
exact reversible PML tape size |
— GB |
frozen measured value+gradient speedup |
—x |
Q/V fit start / nominal lifetime per window |
— ps / — τ_amplitude |
precision-triggered tape growths |
0 |
final ringdown field-power / energy fraction |
— / — |
finite-step adjoint direction verified |
False |
ideal temporal fidelity |
0.483419 |
active objective / value |
log Q / normalized atom volume / 8.16871 |
stage plateau / reason |
False / |
plateau samples / evidence window |
0 / 0 |
objective slope / detectable slope |
— / — |
trust-floor restarts since progress |
0 / 2 |
practical fixed-beta Q/V gain over one memory |
—% / 1% limit |
practical plateau samples / required |
0 / 11 |
practical trust radius still expanding |
False |
healthy / cumulatively pruned curvature pairs |
0 / 0 |
L-BFGS / current-gradient predicted-ascent ratio |
— |
replay-triggered curvature recoveries |
0 |
maximum last density motion |
0.0886365 |
trust radius |
0.00961084 |
binarity score (1 is binary) |
0.951442 |
trainable gray fraction (0.05<rho<0.95) |
6.9299% |
archived tangent-stage Q/V floor |
694.152 |
projection beta / eta |
20 / 0.5 |
fixed-beta accepted Q/V updates / transition |
1 / objective plateau |
material parameterization |
|
hard atom access |
1.000 µm full-y air strip, immutable |
pixel / grid |
50 nm / [181, 35, 45] |
non-PML z span / material-stack-to-PML air gap |
3.50 / 1.26 µm |
z PML |
0.50 µm per side |
z-padding convergence audit |
|
1.50→3.40 µm replay: residual / field-Q / energy-Q change |
nan% / nan% / nan% |
binarization / material projection / filter |
True / True / off |
physical waveguide escape eta |
not part of the active objective |
Q, V, objective, and optimizer history#

The Q axis is linear. A pole is not trusted until the centered Ey and total energy decay estimates agree. Mode volume uses the geometric mean of their three same-pole windows and the same fitted pole wavelength; the local permittivity is exactly air by the hard geometry constraint. The predecessor vacuum-clad branch is preserved as a qualified success at Q=1,978, normalized atom volume 4.210, Q/V=469.9, and Purcell=35.71. Its frozen atom-volume controller reached a trust-floor plateau; this campaign is a clean three-material restart and does not inherit its geometry.
Ideal and measured atom response#

The target has fixed amplitude and phase for Q=10,000, beta one, V=0.1 µm³, and perfect Ey-polarized overlap. It is not rescaled to fit the simulation.
Geometry and fields#


Downloadable layout#
Layout status: provisional density-0.5-contour GDS preview. The ZIP includes the GDS, JSON stack/metric manifest, and README. Before the spline handoff the GDS is intentionally marked as a thresholded preview; after handoff it is the fabrication-oriented smooth boundary representation. GDS is planar, so use the manifest for SiN and SiO2 thicknesses.