Analysis of natural frequency for imaging interface in liquid lens

doi:10.1088/1674-1056/ac229c

Abstract Transmission beam can be modulated at the liquid-liquid interface inside an electrowetting liquid lens. The fluctuation characteristics of the interface has a decisive effect on the beam modulation. A closed cylinder in capillary constant scale is analyzed and the natural frequencies of a flat interface are obtained using capillary wave hydrodynamics. Results in modes 0 and 1 are in good agreement with previous experiments in the literature. The influences of the radius, the height ratio and the height-to-diameter ratio of a liquid lens on the interface eigenfrequencies are analyzed.

Keywords: natural frequency liquid-liquid interface capillary wave liquid lens

Received: 11 February 2021
Revised: 19 August 2021
Accepted manuscript online: 01 September 2021

PACS:	47.11.-j	(Computational methods in fluid dynamics)
	47.35.-i	(Hydrodynamic waves)
	42.79.Bh	(Lenses, prisms and mirrors)
	42.15.Eq	(Optical system design)

Corresponding Authors: Na Xie
E-mail: xienns@hotmail.com

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Na Xie(谢娜) Analysis of natural frequency for imaging interface in liquid lens 2021 Chin. Phys. B 30 104702

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