Underwater Normal Modes — modal propagation (KRAKEN) L1-263

AcousticsShallow-water modal expansionδ=5 · challengingL_DAG = 3📋 Stub — not mineable

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Unclaimed Principle — open for contribution

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Forward model E

p(r,z) = \sum_m Psi_m(z_s) Psi_m(z) \cdot H_0(k_rm r) / \sqrt{r); (d^2/dz^2 + k^2(z) - k_rm^2) Psi_m = 0

Underwater Normal Modes — modal propagation (KRAKEN) forward model.

L-DAG

L.eigenvalue_solve -> L.mode_sum -> L.range_propagate -> int.frequency

L.eigenvalue_solveL.mode_sumL.range_propagateint.frequency

Well-posedness W

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

Conditional stability; mismatch parameters dominate at Omega bounds.

Solvability C

Solver class:: KRAKEN, ORCA, PE-modal
Convergence rate q:: 2
Complexity:: O(N log N) per iteration

Specs (0)

No L2 specs registered yet for this principle.