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

unknown / unresolved

structural backend decision

not recorded

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 / collecting_optimizer_memory

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

unfiltered_centered_tanh_projected_50nm_pixels

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

not_run

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#

Q, V, objective, and motion

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#

Ideal and measured temporal 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#

Initial, current, and difference geometry

Ey field profiles

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.

GDS bundle

Current GDS

Layout manifest

Exact campaign methodology