The Young–Laplace equation links capillarity with geometrical optics

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Published 10 February 2003 Published under licence by IOP Publishing Ltd
, , Citation M A Rodríguez-Valverde et al 2003 Eur. J. Phys. 24 159 DOI 10.1088/0143-0807/24/2/356

0143-0807/24/2/159

Abstract

Analogies in physics are unusual coincidences that can be very useful to solve problems and to clarify some theoretical concepts. Apart from their own curiosity, analogies are attractive tools because they reduce the abstraction of some complex phenomena in such a way that these can be understood by means of other phenomena closer to daily experience. Usually, two analogous systems share a common aspect, like the movement of particles or transport of matter. On account of this, the analogy presented is exceptional since the involved phenomena are a priori disjoined. The most important equation of capillarity, the Young–Laplace equation, has the same structure as the Gullstrand equation of geometrical optics, which relates the optic power of a thick lens to its geometry and the properties of the media.

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10.1088/0143-0807/24/2/356