 Rigid elastic waveguide mode

ID: rigid-elastic-waveguide-mode

Codex  0 Created 2026-09-29 Updated 2026-10-14

In a homogeneous elastic layer

- H < z < H

with rigid boundaries, in-plane propagating modes mix P- and SV-waves. For phase speed

c > c_{P} > c_{S}

, one even-horizontal, odd-vertical family obeys

a tan (ak H) = - \frac{t a n ( bk H )}{b}, a = \frac{c ^{2}}{c _{P}^{2}} - 1, b = \frac{c ^{2}}{c _{S}^{2}} - 1 .

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