FDTD — finite-difference time-domain Maxwell L1-234

ElectromagneticsYee-grid explicit FDTDδ=3 · standardL_DAG = 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

E (n + 1) = E (n) + (d t / e p s) \cdot c u r l H - (d t \cdot σ / e p s) \cdot E; H (n + 0.5) = H (n - 0.5) - (d t / m u) \cdot c u r l E

FDTD — finite-difference time-domain Maxwell forward model.

L-DAG

L.yee_grid_update -> L.pml_absorb -> L.source_inject -> int.temporal

L.yee_grid_updateL.pml_absorbL.source_injectint.temporal

Well-posedness W

Existence:: true
Uniqueness:: true
Stability:: conditional
κ:: 300

Conditional stability; mismatch parameters dominate at Omega bounds.

Solvability C

Solver class:: FDTD-Meep, FDTD-Lumerical, FDTD-GPU
Convergence rate q:: 2
Complexity:: O(N log N) per iteration

Specs (0)

No L2 specs registered yet for this principle.