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Please use this identifier to cite or link to this item: http://hdl.handle.net/10204/6318

Title: Zernike polynomial based Rayleigh-Ritz model of a piezoelectric unimorph deformable mirror
Authors: Long, CS
Loveday, PW
Forbes, A
Keywords: Zernike polynomial
Rayleigh-Ritz
Piezoelectric unimorph
Deformable mirror
Issue Date: Apr-2012
Publisher: SpringerVerlag
Citation: Long, CS, Loveday, PW and Forbes, A. 2012. Zernike polynomial based Rayleigh-Ritz model of a piezoelectric unimorph deformable mirror. International Journal of Mechanics and Materials in Design, vol. 8(3), pp 237-245
Series/Report no.: Workflow;9607
Abstract: Piezoelectric bimorph- or unimorph-type deformable mirrors are commonly used in adaptive optics to correct for time-dependent phase aberrations. In the optics community, the surface deformations that deformable mirrors are required to achieve, are routinely and conveniently described using Zernike polynomials. A Rayleigh-Ritz structural model, which uses Zernike polynomials directly to describe the displacements, is proposed in this paper. The proposed formulation produces a numerically inexpensive model that predicts deformations with remarkable accuracy. Since design variables, such as electrode layout, material properties, and mirror dimensions, are represented analytically, the model is well suited to optimization or sensitivity analysis applications. Furthermore, since the numerical implementation is very efficient, it could be employed in closed-loop control applications. Results achieved with the proposed model compare well with results from a traditional finite element analysis as well as experimental results of a representative design.
Description: Copyright: 2012 Springer. This is the post-print version of the work. The definitive version is published in the International Journal of Mechanics and Materials in Design, vol.8(3), pp 237-245
URI: http://download.springer.com/static/pdf/396/art%253A10.1007%252Fs10999-012-9188-4.pdf?auth66=1352890477_4d8a287f87eb1a19f2b40d6dd46a2f51&ext=.pdf
http://link.springer.com/article/10.1007%2Fs10999-012-9188-4
http://hdl.handle.net/10204/6318
ISSN: 1569-1713
Appears in Collections:Laser physics and technology
Sensor science and technology
Advanced mathematical modelling and simulation
Manufacturing science and technology
General science, engineering & technology

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