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dc.contributor.author Long, CS
dc.contributor.author Loveday, PW
dc.contributor.author Forbes, A
dc.date.accessioned 2012-11-14T12:48:07Z
dc.date.available 2012-11-14T12:48:07Z
dc.date.issued 2012-04
dc.identifier.citation Long, CS, Loveday,PW, Forbes. 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 en_US
dc.identifier.issn 1569-1713
dc.identifier.uri http://link.springer.com/article/10.1007/s10999-012-9188-4/fulltext.html?null
dc.identifier.uri http://hdl.handle.net/10204/6319
dc.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 en_US
dc.description.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. en_US
dc.language.iso en en_US
dc.publisher Springer Verlag en_US
dc.relation.ispartofseries Workflow;9607
dc.subject Deformable mirror en_US
dc.subject Piezoelectric unimorph en_US
dc.subject Rayleigh-Ritz en_US
dc.subject Zernike polynomial en_US
dc.title Zernike polynomial based Rayleigh-Ritz model of a piezoelectric unimorph deformable mirror en_US
dc.type Article en_US


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