ldos-opt · Shaker et al. reproduction

Slat enlarge |x|≤5.4 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| ≤ 5.4 λ0 and |y| ≤ 1 λ0. Density is optimized in the first quadrant and mirrored through x = 0 and y = 0. Material ε ∈ [1, 4].

phc-slat-s1 · shifted β=∞ · updated

LDOS / vacuum
234.4
best 234.4 · target ≥ 500
Q
2.126e+05
best 2.127e+05 · target ≥ 50,000
Iteration
350
700 factorizations
Re ω*/ω0
1
wall 341.2 s
Length-scale P
0.5791
λ = 3 · erode/dilate

Verified rebuild: LDOS/vac=234, Q_eig=2.13e+05, Q_FWHM=1.42e+05, P=0.579, fabricable=False. Gap |ε−1|≤0.00e+00, sym x/y 6.22e-15/5.77e-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