Numerical solution of deformation of circular membrane of liquid lens under uniform hydrostatic pressure

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21110%2F17%3A00312269" target="_blank" >RIV/68407700:21110/17:00312269 - isvavai.cz</a>
Result on the web
<a href="http://proceedings.spiedigitallibrary.org/proceeding.aspx?articleid=2635547" target="_blank" >http://proceedings.spiedigitallibrary.org/proceeding.aspx?articleid=2635547</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1117/12.2269505" target="_blank" >10.1117/12.2269505</a>

Result language
angličtina
Original language name
Numerical solution of deformation of circular membrane of liquid lens under uniform hydrostatic pressure
Original language description
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.
Czech name
—
Czech description
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Publication year
2017
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Article name in the collection
Proceedings of SPIE: Modeling Aspects in Optical Metrology VI
ISBN
9781510611054
ISSN
0277-786X
e-ISSN
—
Number of pages
8
Pages from-to
"1033016-1"-"1033016-8"
Publisher name
SPIE
Place of publication
Baltimore
Event location
Mnichov
Event date
Jun 25, 2017
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
000407287800030

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