Twelve waves, one surface

Each component has an amplitude of 1 metre and a wavelength between 100 and 210 metres. Change their phases to see how the summed surface changes at one instant.

Aligning the crests gives a central elevation of 12 metres above the mean level; spreading phases changes the sum.
Calculation and limits

The curve is η(x)=Σ cos(2πx/λᵢ +φᵢ), with wavelengths λᵢ = 100+10i metres, i=0…11, and phases set by the sliders. The plot runs from −200 to +200 metres and uses a fixed vertical scale of −13 to +13 metres.

This is a single-time, one-dimensional linear superposition. It does not model breaking, currents, directional seas, nonlinear interactions or a measured wave spectrum. The central elevation is measured from the mean level, not crest-to-trough height. No significant wave height or rogue-wave probability is calculated.

These are original illustrative inputs. Background: NOAA on constructive interference. No data is transmitted.