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engines/quan_loncar_v1/package/quan_loncar_optimizer/engine/quan_loncar_series_phase32/README.md · assembled 2026-07-29 15:57 UTC.

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Quan--Loncar series, Phase 32

Raw inverse-beta quadrature cannot validate a far port: the guided pole lies only about 2e-5 in dimensionless beta above the deformed contour, so changing Gauss order intermittently places nodes near the pole. Phase 32 removes the positive and negative fundamental residues analytically, integrates the smooth continuum/evanescent remainder, and restores the correct +i or -i outgoing residue.

The second guided branch is explicitly classified by y-mirror symmetry. It belongs to y=+1, whereas the cavity and fundamental Ey feed channel belong to y=-1, so exact symmetry forbids their coupling.

This establishes a convergent complex port functional. Unit-power flux normalization and a channel-resolved linewidth remain necessary before the result may be called an external coupling rate.