Mie Scattering — rigorous spherical-particle scattering L1-243

ElectromagneticsParticle size distribution from Mie patternδ=5 · challengingL_DAG = 3.3📋 Stub — not mineable

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Unclaimed Principle — open for contribution

This Principle is declared in the catalog but has no reference solver, no pinned dataset, and is not registered on-chain. There is no reward pool. Submitting a cert against this Principle today will record the cert for reproducibility but pay zero PWM.

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Forward model E

σ_{s} c a tt er (t h e t a) = (∣ S 1 ∣^{2} + ∣ S 2 ∣^{2}) / (2 \cdot k^{2} \cdot r^{2}); S_{n} f r o m M i eser i es in a_{n}, b_{n}

Mie Scattering — rigorous spherical-particle scattering forward model.

L-DAG

L.mie_coeff -> L.series_sum -> L.polydispersity_average -> int.angular

L.mie_coeffL.series_sumL.polydispersity_averageint.angular

Well-posedness W

Existence:: true
Uniqueness:: true
Stability:: conditional
κ:: 400

Conditional stability; mismatch parameters dominate at Omega bounds.

Solvability C

Solver class:: Mie-series, Mie-inversion, Mie-NN
Convergence rate q:: 1.5
Complexity:: O(N log N) per iteration

Specs (0)

No L2 specs registered yet for this principle.