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engines/quan_loncar_v1/package/quan_loncar_optimizer/engine/quan_loncar_series_phase27/README.md · assembled 2026-07-29 15:57 UTC.

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Quan--Loncar series, Phase 27

Phase 27 constructs the shared quasinormal-mode residue needed by mode volume and feed-waveguide coupling.

For the nonlinear hole-space operator A(s), with s=omega/omega0, the internal resolvent residue is

R_h = x y^H / (y^H A_s x).

The code evaluates the retained waveguide basis at a real-space point and assembles, in one outgoing-contour pass, the coefficient-to-field map F(r) and reciprocal source-to-coefficient map B(r). The pole part of the dressed electric Green correction is

R_E(r,r') = k0^2 DeltaEpsilon F(r) R_h B(r').

Validation checks reciprocity, arbitrary left/right eigenvector rescaling, and direct convergence of (s-stilde) A(s)^-1 and the dressed point response to their predicted rank-one residues.