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The Young–Laplace equation links capillarity with geometrical optics

M A Rodríguez-Valverde, M A Cabrerizo-Vílchez and R Hidalgo-Álvarez

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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.


PACS

42.15.-i Geometrical optics

Subjects

Optics, quantum optics and lasers

Dates

Issue 2 (March 2003)

Received 18 September 2002, in final form 19 November 2002

Published 10 February 2003



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