ldos-opt · Shaker et al. reproduction

Slot-gap LDOS live 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). Dielectric is allowed only outside that strip. The density is optimized in the first quadrant and mirrored through x = 0 and y = 0.

gap-sym · shifted β=∞ · updated 2026-08-12 18:00:01 UTC

LDOS / vacuum
1.155e+03
best 1.155e+03 · target ≥ 500
Q
5.106e+04
best 5.106e+04 · target ≥ 50,000
Iteration
1273
1546 factorizations
Re ω*/ω0
1.001
wall 160 s

Verified rebuild: LDOS/vac=1155, Q_eig=5.11e4, Q_FWHM=5.10e4. Peak at Re ω*. Gap |ε−1|=0, 4-fold symmetry to 3e-13, PML energy 0.065%.

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
history
LDOS enhancement and Q vs Maxwell-matrix factorizations