One-sided SiN atom-hole temporal-to-pole optimizer

One-sided SiN atom-hole temporal-to-pole optimizer#

Worker: not active · stage: pole_q_volume_constrained · status: paused_resumable_q1767_atom_volume_constrained · checkpoint age: 4307.9 min

This paused campaign launches the fundamental TM-like mode of one positive-x waveguide into an 8 µm × 8 µm, 300 nm-thick SiN design. A centered z-oriented atom occupies an immutable one-micron through-slab air hole. The first 150 or more raw Adam updates minimize the absolute vector temporal error; a trustworthy Q≥100 then activates frequency-free, adaptive-trust L-BFGS-B on the fitted pole lifetime. Its Q directions are projected against the atom-mode volume gradient, and every accepted geometry must remain below the frozen pre-Q volume ceiling. No filter, material projection, or binarization is active.

quantity

current

temporal Adam updates

150 / at least 150

pole accepted updates / trials

211 / 348

Q

1767.37

best trusted Q

1767.37

field / energy Q

1768.15 / 1767.37

Q-estimator ratio

1.00044

pole wavelength

773.456 nm

source-center wavelength

773.502 nm

field-monitor wavelength

773.502 nm

design-region slab thickness

0.3 µm

Stage-B thickness coordinate / range

False / 0.300–0.300 µm

physical mode volume

1.94042 µm³

normalized mode volume

4.19363 (λ_pole/n_air)³

Q / normalized atom volume

Purcell from Q/V

fitted atom-pole amplitude at source clear

absolute atom-trace peak / handoff

source spectral power at pole / actual carrier

reciprocal guided-Purcell proxy

guided-Purcell proxy / handoff

Stage-B volume treatment

2.0675 µm³

three-window V span

0.000125812

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

0.553248

active objective / value

log Q / normalized atom volume / 7.47747

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

0.00029999

trust radius

0.00045

binarity score (1 is binary)

trainable gray fraction (0.05<rho<0.95)

—%

archived tangent-stage Q/V floor

projection beta / eta

— / 0.5

fixed-beta accepted Q/V updates / transition

0 / objective plateau

material parameterization

unfiltered_direct_50nm_pixels

hard atom access

1.000 µm minimum air hole, immutable

pixel / grid

50 nm / [202, 95, 25]

non-PML z span / material-stack-to-PML air gap

1.50 / 0.60 µm

z PML

0.50 µm per side

z-padding convergence audit

passed_keep_1p5um_interior

1.50→3.40 µm replay: residual / field-Q / energy-Q change

7.5144e-05% / -0.004968% / -0.7036%

binarization / material projection / filter

False / False / 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 Ez 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 rejected Q-only branch reached Q=3,619 while normalized V deteriorated to 17.85; it is archived and is not part of this curve.

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 Ez-polarized overlap. It is not rescaled to fit the simulation.

Geometry and fields#

Initial, current, and difference geometry

Ez field profiles

Exact campaign methodology