ldos-opt · Shaker et al. reproduction

Fab sweep fab-l10 λ=10 R=0.1 success

Dipole at (0,0) in a vacuum slot |x| < 0.5 λ₀ (0.5 μm of free space on each side if λ₀ = 1 μm). Design occupies 0.5 ≤ |x| ≤ 5 λ₀ and |y| ≤ 1 λ₀. Density is optimized in the first quadrant and mirrored through x = 0 and y = 0.

fab-l10 · shifted β=∞ · updated

LDOS / vacuum

2.186e+06

best 2.186e+06 · target ≥ 500

5.662e+07

best 5.662e+07 · target ≥ 50,000

Iteration

200

400 factorizations

Re ω*/ω0

1.001

wall 227.2 s

Length-scale P

0.9763

λ = 10 · erode/dilate

Verified rebuild: LDOS/vac=2.19e+06, Q_eig=5.66e+07, Q_FWHM=3.77e+07, P=0.976, fabricable=False. Gap |ε−1|≤0.00e+00, sym x/y 1.43e-12/1.52e-12.

permittivity — ε(x,y), source as red/white dot. Red band is the frozen vacuum strip when present.

field — |E|² at the evaluation frequency

fragile band — Fragile band ρ_dilate − ρ_erode. Speckle lights up; a clean interface is a thin outline.

history — LDOS enhancement, Q, and length-scale penalty vs Maxwell-matrix factorizations