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engines/majumdar_lab/package/multilayer_autonomous_optimizer/multilayer_nanobeam_phase7/README.md · assembled 2026-07-29 15:57 UTC.

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Multilayer nanobeam — Phase 7

The layered background is converted into the unperforated Si3N4 strip through the exact finite-dimensional Dyson equation

D_wg(beta) = I - k0^2 (epsilon_SiN - epsilon_air) G_layered(beta),
G_wg(beta) = D_wg(beta)^(-1) G_layered(beta).

In the physical y=-1 block, D_wg has the Ey-dominant feedthrough zero validated in Phase 3. Phase 7 extracts the rank-one Laurent residue at both +beta_feed and -beta_feed and exposes a feed-pole-subtracted strip Green matrix for the longitudinal cavity integral.