ldos-opt · Shaker et al. reproduction

sin-rand Δη=0.2 λ=3.0 a=0.4 finished

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| ≤ 2 λ0 and |y| ≤ 1 λ0. Density is optimized in the first quadrant and mirrored through x = 0 and y = 0. Material ε ∈ [1, 4].

sin-rand · shifted β=∞ · updated

LDOS / vacuum
110.2
best 110.2 · target ≥ 500
Q
1.119e+03
best 1.123e+03 · target ≥ 50,000
Iteration
590
940 factorizations
Re ω*/ω0
1.048
wall 134.1 s
Length-scale P
0.362
λ = 3 · erode/dilate

Verified rebuild: LDOS/vac=110, Q_eig=1.12e+03, Q_FWHM=746, P=0.362, fabricable=False. Gap |ε−1|≤0.00e+00, sym x/y 3.55e-15/2.66e-15.

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