Universal form of the equations governing membrane deformation under hydrostatic pressure for simpler design of sensors and tunable optical devices

Andrey Nazarov, Ibrahim Abdulhalim

Research output: Contribution to journalArticlepeer-review

5 Scopus citations

Abstract

Flexible membranes have applications in liquid filled lenses and pressure sensors. They deform under hydrostatic pressure, thus changing the asphericity of the lens and its focal length. This behavior enables tuning of the lens by changing the pressure of the fluid inside. A universal form of the nonlinear differential equations describing the deformation of a flexible membrane is presented here, showing that their solution is valid for membranes having the same thickness to radius ratio and made of materials having the same flexural rigidity and Poisson ratios. Hence by solving the equations once, a simple scaling allows obtaining a set of solutions that matches these ratios. This should simplify the design of tunable lenses and pressure sensors based on flexible membranes. In addition, approximate analytic solutions are presented in a normalized form.

Original languageEnglish
Pages (from-to)113-117
Number of pages5
JournalSensors and Actuators, A: Physical
Volume257
DOIs
StatePublished - 15 Apr 2017

Keywords

  • Aberration compensation
  • Active or adaptive optics
  • Micro-optical devices
  • Sensor design
  • Tunable liquid lenses

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Instrumentation
  • Condensed Matter Physics
  • Surfaces, Coatings and Films
  • Metals and Alloys
  • Electrical and Electronic Engineering

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