
Proceedings Paper
Numerical solution of deformation of circular membrane of liquid lens under uniform hydrostatic pressureFormat | Member Price | Non-Member Price |
---|---|---|
$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
Published in SPIE Proceedings Vol. 10330:
Modeling Aspects in Optical Metrology VI
Bernd Bodermann; Karsten Frenner; Richard M. Silver, Editor(s)
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)
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)
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
