Water Wave Dispersion ω(k)
This interactive simulator explores Water Wave Dispersion ω(k) in Waves & Sound. Shallow k√(gh), deep √(gk), full tanh(kh) — three curves. Use the controls to change the scenario; watch the visualization and any graphs or readouts to connect the model with lectures, labs, and homework.
Who it's for: Best once you already know the basic definitions and want to build intuition. Typical context: Waves & Sound.
Key terms
- water
- wave
- dispersion
- water wave dispersion
- waves
- sound
How it works
**Dispersion** links **ω** and **k**. **Shallow** water (**λ ≫ h**): **ω ≈ k√(gh)**, **linear** in **k** (**nondispersive** **phase** speed **√(gh)**). **Deep** water (**λ ≪ h**): **ω ≈ √(gk)** (**dispersive**). The **yellow** curve is the **full** **gravity–water** relation **ω² = g k tanh(k h)** — **deep** and **shallow** are **asymptotes** for small/large **kh**.
Key equations
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