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. Material ε ∈ [1, 4].
sin-enl-best-s6 · shifted β=∞ ·
updated
LDOS / vacuum
0.4852
best 5.216 · target ≥ 500
Q
17.69
best 81.18 · target ≥ 50,000
Iteration
200
400 factorizations
Re ω*/ω0
0.9791
wall 179.4 s
Length-scale P
0.5744
λ = 3 · erode/dilate
Shifted log-LDOS at Re ω*. Fig. 6 bars (LDOS/vac≥500, Q≥50000) are reference only — this geometry is an open slot.
ε(x,y), source as red/white dot. Red band is the frozen vacuum strip when present.|E|² at the evaluation frequency
Fragile band ρ_dilate − ρ_erode. Speckle lights up; a clean interface is a thin outline.LDOS enhancement, Q, and length-scale penalty vs Maxwell-matrix factorizations