XYZ-symmetric SiN y-atom air-strip volume-constrained Q optimizer

XYZ-symmetric SiN y-atom air-strip volume-constrained Q optimizer#

Worker: not active · stage: pole_q_volume_constrained · status: qualified_success_paused_resumable · checkpoint age: 11.1 min

This paused campaign drives the even bright combination of two fundamental TE-like modes into a 16 µm × 2 µm × 0.5 µm SiN design. A centered y-oriented atom lies in an immutable one-micron-wide air strip spanning the complete y width, so the optical path cannot route through dielectric around the atom. Full x/y/z symmetry leaves one octant and the unfolded coherent source pair has unit incident power. Raw Adam first minimizes the fixed absolute temporal error. At step 50, a trustworthy Q≥100 activates the pole handoff. Stage B jointly optimizes every in-plane density pixel and one global slab-thickness coordinate while maximizing only the moving-pole harmonic Q. The design-region thickness moves continuously from 0.2 to 0.7 µm through a planar subpixel fill; the external 0.5 µm feedthrough remains fixed. Every Q direction is projected into the local non-increasing-log(V_atom) half-space, and a forward replay rejects any candidate above the one fixed handoff-volume ceiling. The 0.2% allowance is only for estimator noise and never ratchets. No filter, material projection, or binarization is active.

quantity

current

temporal Adam updates

50 / at least 50

pole accepted updates / trials

118 / 1683

Q

1977.9

best trusted Q

1977.9

field / energy Q

1977.9 / 1978.39

Q-estimator ratio

1.00025

pole wavelength

821.989 nm

source-center wavelength

821.842 nm

design-region slab thickness

0.7 µm

Stage-B thickness coordinate / range

True / 0.200–0.700 µm

| physical mode volume | 2.33794 µm³ | | normalized mode volume | 4.20954 λ_pole³ | | Q / normalized atom volume | 469.918 | | Purcell from Q/V | 35.7095 | | cavity-emission probability C/(1+C) | 97.2759% | | Purcell target / reached | 100 / False | | lowest Q found with Purcell≥100 | — | | frozen handoff mode volume | 2.94334 µm³ | | last candidate volume-feasible | True | | fitted atom-pole amplitude at source clear | 0.0684753 | | absolute atom-trace peak / handoff | 0.35553 | | source spectral power at pole / center | 0.995725 | | reciprocal guided-Purcell proxy | 0.000204587 | | guided-Purcell proxy / handoff | 61799.2 | | Stage-B volume treatment | 2.94334 µm³ handoff ceiling with 0.2% fit-noise allowance | | three-window V span | 0.000106879 | | ideal temporal fidelity | 0.489826 | | active objective | 7.58991 | | maximum last density motion | 1.19209e-06 | | trust radius | 0.0003 | | hard atom access | 1.000 µm full-y air strip, immutable | | pixel / grid | 50 nm / [181, 35, 27] | | non-PML z span / material-stack-to-PML air gap | 1.70 / 0.50 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 / projection / filter | off / off / 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 their same final window and the same fitted pole wavelength; the local permittivity is exactly air by the hard geometry constraint. The first air-strip Stage-B attempt is archived as a negative ablation. Its collection score rose 442.6× and Q rose 268→10,027, but physical atom volume rose 4.289→100.02 µm³ and Purcell only rose 2.26→3.76. Because no parameter snapshot existed at that handoff, this corrected branch starts fresh from a density-zero air design, stores its new handoff explicitly, and then applies the frozen-volume Q controller.

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

Exact campaign methodology