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

Kód výsledku v 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>

Výsledek na webu

<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>

Jazyk výsledku

angličtina

Název v původním jazyce

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

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

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

Popis výsledku anglicky

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.

Druh

D - Stať ve sborníku

CEP obor

—

OECD FORD obor

20201 - Electrical and electronic engineering

Projekt

—

Návaznosti

S - Specificky vyzkum na vysokych skolach

Rok uplatnění

2017

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název statě ve sborníku

Proceedings of SPIE: Modeling Aspects in Optical Metrology VI

ISBN

9781510611054

ISSN

0277-786X

e-ISSN

—

Počet stran výsledku

8

Strana od-do

"1033016-1"-"1033016-8"

Název nakladatele

SPIE

Místo vydání

Baltimore

Místo konání akce

Mnichov

Datum konání akce

25. 6. 2017

Typ akce podle státní příslušnosti

WRD - Celosvětová akce

Kód UT WoS článku

000407287800030