Metamaterial / Metasurface — effective medium inversion L1-249

ElectromagneticsEffective permittivity/permeability retrievalδ=5 · challengingL_DAG = 3.2📋 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.

To claim it as a Bounty #7 contribution: open a PR adding (1) a reference solver, (2) ≥1 dataset pinned to IPFS, (3) updates to the L3 manifest with dataset CIDs. After verifier-agent triple-review, the founders' 3-of-5 multisig signs PWMRegistry.register() and the Principle becomes mineable.

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Forward model E

n_{e} f f = (1/ k d) \cdot a r ccos ((1 - S 1 1^{2} + S 2 1^{2}) / (2 \cdot S 21)); Z_{e} f f f r o m S - p a r am e t er s

Metamaterial / Metasurface — effective medium inversion forward model.

L-DAG

L.unit_cell_sim -> L.s_param_extract -> L.n_eff_retrieve -> int.frequency

L.unit_cell_simL.s_param_extractL.n_eff_retrieveint.frequency

Well-posedness W

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

Conditional stability; mismatch parameters dominate at Omega bounds.

Solvability C

Solver class:: NRW-retrieval, Smith-retrieval, Meta-NN
Convergence rate q:: 1.5
Complexity:: O(N log N) per iteration

Specs (0)

No L2 specs registered yet for this principle.