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Fogbow south east of Newfoundland imaged by Juerg Alean (site, more voyage images, Stromboli online) from the stern of a container ship as it thundered across 'Titanic waters'.
©Juerg Alean, shown with permission.

Fogbow form like rainbows by sunlight refraction and reflection in water drops.

Fog droplets are much smaller than raindrops and another process becomes important. Diffraction - interference between light waves - broadens the bow and renders the colours more pastel.

Droplets & diffraction   
Fogbows & rainbows