ldos-opt · Shaker et al. reproduction

Fabricable wide slot live 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.

gap-wide-fab · shifted β=∞ · updated

LDOS / vacuum

7.987e+03

best 7.987e+03 · target ≥ 500

2.971e+05

best 2.971e+05 · target ≥ 50,000

Iteration

600

1200 factorizations

Re ω*/ω0

1.016

wall 590.2 s

Length-scale P

1.793

λ = 3 · erode/dilate

Verified rebuild: LDOS/vac=7.99e+03, Q_eig=2.97e+05, Q_FWHM=1.98e+05, P=1.79, fabricable=False. Gap |ε−1|≤0.00e+00, sym x/y 1.61e-12/1.05e-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