ldos-opt · Shaker et al. reproduction

Fab sweep fab-r15 λ=3 R=0.15 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-r15 · shifted β=∞ · updated

LDOS / vacuum
1.895e+03
best 2.210e+03 · target ≥ 500
Q
6.156e+04
best 7.235e+04 · target ≥ 50,000
Iteration
200
400 factorizations
Re ω*/ω0
1
wall 199.9 s
Length-scale P
0.9528
λ = 3 · erode/dilate

Verified rebuild: LDOS/vac=1.89e+03, Q_eig=6.16e+04, Q_FWHM=4.1e+04, P=0.953, fabricable=False. Gap |ε−1|≤0.00e+00, sym x/y 1.01e-12/1.15e-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