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engines/design23_v1/package/design23_recentered_optimizer/multilayer_nanobeam_phase9/README.md · assembled 2026-07-29 15:57 UTC.

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Multilayer nanobeam — Phase 9

This phase constructs the first complete finite determinant for the supplied multilayer cavity. The smooth layered-strip continuum is integrated on an outgoing complex-beta contour. The deformation keeps the real-qy integrals away from film poles and half-space branch endpoints. Both Si3N4 feed poles are subtracted from the contour integrand and restored through the exact finite-hole real-space matrix from Phase 8.

At the initial P0-disk/z01 truncation, the physical x=+1,y=-1 determinant is 50 by 50. Increasing the Zernike and z orders produces a nested convergent sequence without reinstating an invalid z mirror symmetry.