Photograph of (optical) caustics

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SUMMARY

This discussion centers on the phenomenon of optical caustics, specifically those created by sunlight reflecting off moving water. The spatial pattern of the caustics is directly related to the local slope of the water surface, with each dimension in the photograph representing approximately 1 meter. The individual spots observed are not direct images of the sun but rather focused spots resulting from a cusp catastrophe, a concept rooted in catastrophe theory. The discussion highlights the interplay between optics and fluid dynamics in capturing these unique visual effects.

PREREQUISITES
  • Understanding of optical phenomena, specifically caustics
  • Familiarity with catastrophe theory, particularly the cusp catastrophe
  • Basic knowledge of photography techniques for capturing reflections
  • Awareness of fluid dynamics and how water movement affects light patterns
NEXT STEPS
  • Research optical caustics in detail, focusing on their mathematical modeling
  • Explore photography techniques for capturing reflections on water surfaces
  • Study the principles of catastrophe theory and its applications in optics
  • Investigate the effects of water surface dynamics on light behavior
USEFUL FOR

Photographers, optical physicists, and anyone interested in the study of light behavior and its artistic applications in capturing natural phenomena.

Andy Resnick
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Caustics are singularities in the optical field:

http://en.wikipedia.org/wiki/Caustic_(optics)

I took this photograph of caustics created by the sun reflecting off of moving water today-

DSC03499-1_zpsxcep9daa.jpg


The spatial pattern of spots is related to the (local) slope of the water: Each dimension in this image corresponds approximately to 1m at the water, to give you a sense of scale. Each individual spot is not an image of the sun, but a focused spot due to (I think) a cusp catastrophe:

http://en.wikipedia.org/wiki/Catastrophe_theory#Cusp_catastrophe
 
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