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In this paper, various structures for double-liquid variable focus lens are introduced. And based on an energy
minimization method, explicit calculations and detailed analyses upon an extended Young-type equation are given for
double-liquid lenses with cylindrical electrode. Such an equation is especially applicable to liquid-liquid-solid tri-phase
systems. It is a little different from the traditional Young equation that was derived according to vapor-liquid-solid triphase
systems. The electrowetting effect caused by an external voltage changes the interface shape between two liquids
as well as the focal length of the lens. Based on the extended Young-type equation, the relationship between the focal
length and the external voltage can also be derived. Corresponding equations and simulation results are presented.
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