ldos-opt · Shaker et al. reproduction

Fab sweep fab-l3 λ=3 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-l3 · shifted β=∞ · updated

LDOS / vacuum
2.234e+06
best 2.234e+06 · target ≥ 500
Q
5.784e+07
best 5.784e+07 · target ≥ 50,000
Iteration
200
400 factorizations
Re ω*/ω0
1.001
wall 224.4 s
Length-scale P
0.9763
λ = 3 · erode/dilate

Verified rebuild: LDOS/vac=2.23e+06, Q_eig=5.78e+07, Q_FWHM=3.86e+07, P=0.976, fabricable=False. Gap |ε−1|≤0.00e+00, sym x/y 1.74e-12/2.37e-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