Source

engines/quan_loncar_v1/package/quan_loncar_optimizer/engine/quan_loncar_series_phase41/README.md · assembled 2026-07-29 15:57 UTC.

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Phase 41: corrected objective Jacobian and pullback

This phase batches the validated Phase-40 directional derivative across all 45 current symmetric hole coordinates. Three corrected operator assemblies (base and two frequency offsets) produce the full Jacobian of the complex pole, Q, cavity-center point Green residue, and complex/effective mode volume.

The returned FullGeometryObjectiveJacobian.objective_pullback(...) maps real scalar cotangents for Q, effective mode volume, normalized effective mode volume, and the real/imaginary resonance coordinates back to the packed geometry vector. It is framework-neutral and does not differentiate through the nonlinear pole iterations or eigensolver.

test_phase41.py verifies that contracting the batched partial tensors with a dense geometry tangent reproduces the independently assembled Phase-40 JVP.

run_phase41_corrected_full_jacobian.py builds the production Jacobian, contracts it against the exact Phase-40 dense direction, validates a mixed objective pullback, and reports all per-coordinate sensitivities.