Wave Propagation & Elastic Media

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Abstractions about how waves propagate, interact, and are measured in elastic and acoustic media, including named wave types and interface modes (Love wave, Stoneley wave, seismic anisotropy), boundary and transmission behavior (absorbing boundary condition, transmission coefficient, Zoeppritz equations), and coupling or attenuation effects (coupled mode theory, Manley-Rowe relations, anelastic attenuation factor).

18 abstractions in this family — domain-specific abstractions that sit near one another in structural-signature space (k-means over structural-signature embeddings). Each is shown with its short description.

• Absorbing boundary condition — An artificial computational boundary rule designed to let outgoing waves exit a truncated domain with minimal reflection.
• Acoustic emission — Transient elastic waves released within a solid by rapid irreversible changes such as crack growth, plastic deformation, or phase transformation.
• Acoustic wave — Propagate a mechanical disturbance through a material medium as coupled variations of pressure, stress, density, and particle motion, with wave type fixed by the medium and restoring response.
• Anelastic attenuation factor — Parameterize intrinsic seismic-wave energy loss by a quality factor Q whose inverse gives fractional energy dissipated per cycle under a declared frequency model.
• Archie's Law — An empirical porous-medium electrical relation linking bulk resistivity to pore-water resistivity, saturated formation factor, and, where applicable, water saturation.
• Backscattering cross section — An effective area quantifying the wave power an object returns toward the incident direction relative to incident intensity under a declared convention.
• Coupled mode theory — A reduced perturbative framework that represents interacting waves or resonators by slowly varying modal amplitudes linked through coupling coefficients.
• Impulse excitation technique — A nondestructive materials-characterization method that infers elastic moduli and damping from the resonant response of a lightly supported specimen after a small mechanical impulse.
• Love wave — A horizontally polarized shear surface wave guided by an elastic layer over a half-space.
• Manley–Rowe relations — Conservation relations that constrain energy or action exchange among frequency components participating in a lossless nonlinear wave interaction.
• Polarimetry — Measurement and analysis of a wave's polarization state or polarization-resolved response under declared acquisition conditions.
• Polarization (waves) — The geometric pattern traced by a transverse wave’s oscillating field or displacement in the plane perpendicular to propagation.
• Refraction — The change in direction and wavelength of a wave caused by a change in propagation speed across space or between media.
• Seismic anisotropy — Directional dependence of seismic-wave speed, polarization, or attenuation at a point, represented through elastic symmetry and used to infer layering, cracks, stress, and mantle fabric.
• Stoneley wave — Propagate an elastic interface mode along the bonded boundary between two solid media, with displacement concentrated near the interface and decaying into both adjoining materials.
• Transmission coefficient — A convention-dependent amplitude, intensity, probability, or power ratio quantifying how much of an incident wave or flux passes through a boundary or barrier.
• Transverse isotropy — A transversely isotropic (also known as polar anisotropic) material is one with physical properties that are symmetric about an axis that is normal to a plane of isotropy.
• Zoeppritz Equations — The exact plane-wave interface relations that use elastic boundary continuity to partition an incident P or S wave among reflected and transmitted P and S modes as a function of angle and material properties.