Share Email Print
cover

Proceedings Paper

Numerical solution of deformation of circular membrane of liquid lens under uniform hydrostatic pressure
Author(s): Petr Pokorný; Filip Šmejkal; Pavel Kulmon; Antonín Mikš; Jiří Novák; Pavel Novák; Milan Jirásek; Martin Horák
Format Member Price Non-Member Price
PDF $17.00 $21.00

Paper Abstract

This paper is focused on a theoretical general description of membrane deformation in membrane liquid lenses, which is based on the theory of large deformations of thin plates under uniform hydrostatic loading. The general formulas are derived, leading to a system of differential equations that describe the shape of a deformed membrane. Since an analytical solution cannot be found, numerical methods are applied and the membrane shape is calculated for given practical examples. Further, the dependency of maximal deflection of the membrane on the applied hydrostatic pressure is analysed. For a better understanding and possibility of modelling the membrane shape in an optical design software, the shape is depicted as aspherical. Finally, the theoretical simulations are compared with experimental results for a given membrane and applied loadings. It is clearly seen that the shape of the membrane does not correspond to a sphere even under low applied pressures. Therefore, the presented analysis could have a significant impact in optical design. Using the results of the paper and numerical examples, one can easily model many cases of membrane liquid lenses and exploit the results of the simulation for precise description of optical systems with active components.

Paper Details

Date Published: 26 June 2017
PDF: 8 pages
Proc. SPIE 10330, Modeling Aspects in Optical Metrology VI, 1033016 (26 June 2017); doi: 10.1117/12.2269505
Show Author Affiliations
Petr Pokorný, Czech Technical Univ. in Prague (Czech Republic)
Filip Šmejkal, Czech Technical Univ. in Prague (Czech Republic)
Pavel Kulmon, Czech Technical Univ. in Prague (Czech Republic)
Antonín Mikš, Czech Technical Univ. in Prague (Czech Republic)
Jiří Novák, Czech Technical Univ. in Prague (Czech Republic)
Pavel Novák, Czech Technical Univ. in Prague (Czech Republic)
Milan Jirásek, Czech Technical Univ. in Prague (Czech Republic)
Martin Horák, Czech Technical Univ. in Prague (Czech Republic)


Published in SPIE Proceedings Vol. 10330:
Modeling Aspects in Optical Metrology VI
Bernd Bodermann; Karsten Frenner; Richard M. Silver, Editor(s)

© SPIE. Terms of Use
Back to Top
PREMIUM CONTENT
Sign in to read the full article
Create a free SPIE account to get access to
premium articles and original research
Forgot your username?
close_icon_gray