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Waveguide Modes — dispersion and S-parameter analysis L1-239
ElectromagneticsRectangular/coax/photonic waveguide eigenmodesδ=3 · standardL_DAG = 3📋 Stub — not mineable
📋
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.
Forward model E
(d^2/dx^2 + d^2/dy^2 + k_c^2) E_z = 0; k_z = \sqrt{k^2 - k_c^2)Waveguide Modes — dispersion and S-parameter analysis forward model.
L-DAG
L.eigenmode_solve -> L.propagate -> L.S_param_extract -> int.frequency
L.eigenmode_solveL.propagateL.S_param_extractint.frequency
Well-posedness W
- Existence:
- true
- Uniqueness:
- true
- Stability:
- conditional
- κ:
- 200
Conditional stability; mismatch parameters dominate at Omega bounds.
Solvability C
- Solver class:
- FEM-waveguide, Mode-matching, BPM
- Convergence rate q:
- 2
- Complexity:
- O(N log N) per iteration
Specs (0)
No L2 specs registered yet for this principle.