In 1826 French naval officer Jules Dumont d’Urville reported a 33 meter wave in the Indian Ocean, and scientist Francois Arago mocked him, insisting waves could not exceed 30 feet. Oceanographers trusted a Gaussian model built on significant wave height, and survivorship bias hid the evidence: ships that met giant waves rarely returned. That changed on January 1, 1995 at the Draupner gas platform in the North Sea, where a downward laser in a 12 meter sea recorded a single 25.6 meter wave at 15:24 UTC, and damage high on the rig confirmed it. A rogue wave is defined as more than twice the significant wave height, and unlike a tsunami it forms and breaks in deep water.

The European Space Agency’s MaxWave project in 2004 found more than ten waves over 25 meters in three weeks of satellite radar, and RRS Discovery measured waves up to 29.1 meters near Scotland in 2000. That reframed losses like the German freighter München in 1978 and the MV Derbyshire in 1980. Rogue waves can form through current focusing against opposing winds, crossing seas meeting near 120 degrees, or modulational instability in which one wave drains energy from its neighbors, the so called vampire wave. The same math has since appeared in liquid helium, microwave cavities and fiber optic light pulses.

• The München’s lifeboat pins, 20 meters above the waterline, were bent backward from bow to stern.
• The Derbyshire’s hatch covers failed under the pressure of about 20 meters of water.
• A breaking rogue wave can exceed 100 metric tons per square meter, enough to cause brittle fracture in mild steel.
• In 2019 Oxford and Edinburgh researchers recreated the Draupner wave in a lab tank.
• Older ship designs assumed breaking forces of about 15 tons per square meter.