Stopped 200 nm SiN Fourier atom-hole campaign#

This page freezes the 200 nm thickness experiment at the checkpoint selected for replacement by the finite SiO2-clad stack. It remains an exploratory, continuous-density result; it did not run through binarization and is not presented as a finished device.

Executed configuration and outcome#

Quantity

Value

Material stack

200 nm Si3N4 slab in infinite SiO2

Atom

z-oriented, 780.24 nm

Immutable opening

1.0 µm-diameter through-slab air hole

Trainable region

9.6 µm-diameter extruded 2-D mask

Grid / symmetry

25 nm / x-y-z (8× reduced solve)

Active controls

40,000 real Fourier coefficients

Accepted updates

69

Initial / final / best LDOS

0.517264 / 0.595742 / 0.595742

LDOS gain

15.17%

Final grayness

0.6140

Final field / energy fitted Q

34.03 / 65.17, rejected

The largest apparent conservative Q in three pulsed audits was 174.39, but it failed the field/energy residual and window-stability gates. The optimizer therefore never entered shifted-pole mode. This is the intended fail-closed behavior, not evidence of a Q=174 cavity.

Geometry at the stopping point#

Cold start and stopped 200 nm geometry with complete xz material sections

The initial spectral seed, final continuous mask, and literal 200 nm material cross-section at update 69.#

Optimization and pole-audit history#

LDOS, continuation, grayness, gradient, and pole audits of the 200 nm campaign

LDOS improved monotonically over the short run. Untrusted Q fits are shown as diagnostics and never used to recenter the objective.#

Spatial spectrum and electric field#

Fourier controls at the stopped 200 nm checkpoint
Ez field over the xy plane and complete xz domain at the stopped checkpoint

The complete xz panel includes the PML entrances. A stronger validation doubled the physical z interior from 1.8 to 3.6 µm at update 67; LDOS changed only -0.000160% (0.59500849 to 0.59500754). The visible upward and downward field is therefore outgoing radiation rather than a measurable finite-z artifact at this checkpoint.#

The resumable artifact remains at benchmarks/artifacts/invdes_fourier_atom_hole_ldos_sin200_isotropic_v1.npz.