No-slot atom-hole waveguide inverse design

No-slot atom-hole waveguide inverse design#

RUNNING BINARY BETA · campaign hole_square_v1 · updated 2026-08-23T12:03:04+00:00

This is the live checkpoint for a z-oriented atom in a hard 1 µm-diameter central air hole. A 7.5 × 7.5 µm free-form silicon mask is extruded through a 500 nm slab and attaches only to one 400 nm right-hand waveguide. There is no atom-access slot and no left waveguide. The y and z mirror planes reduce the solve by four; x is simulated explicitly.

Quantity

Current value

Ordinary beta adjoint updates

550 / ∞

Guided branching ratio βwg

81.47% into the single right-hand guide

Rejected nonphysical beta samples

44

Latest raw modal-power excess

0.00%

Total normalized LDOS

0.3775

Guided normalized LDOS

0.3075

Atom-frequency coherent retention

pending

Late-window atom-frequency coherence

pending

Gray material fraction

0.00%

Projection stage

7 / 7

Campaign phase

binary beta and pole search

Latest audited/ringdown Q

21.31

Latest pole detuning

4.125%

Latest pole-fit residual

13.946%

Purcell factor

pending

Guided Purcell βwg FP

pending

Literal geometry and routing objective

Optimization history

Current electric field

What is being optimized now#

The objective is the passive, energy-bounded right-waveguide branching ratio; there is no LDOS guard rail. A separate penalty rejects any modal/closed-surface power mismatch that would imply beta above 100%. Projection sharpness first follows a finite 90-update schedule; the optimizer then remains exactly binary and continues beta updates in 20-step blocks. A fresh 4 ps broadband audit after every block controls the handoff—neither iteration count nor a noisy instantaneous Q can activate shifting.

The state machine is deliberately simple: beta optimization and binarization → perpetual exact-binary beta with independent pole audits → unbounded shifted-LDOS optimization. A clean Q≈100 pole is required before shifting, and no stage may reintroduce gray material after binarization.