dc.contributor.author |
Long, Craig S
|
|
dc.contributor.author |
Loveday, Philip W
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|
dc.contributor.author |
Forbes, A
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dc.contributor.author |
Land, K
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dc.date.accessioned |
2011-11-30T07:24:34Z |
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dc.date.available |
2011-11-30T07:24:34Z |
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dc.date.issued |
2010-01 |
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dc.identifier.citation |
Long, CS, Loveday, PW, Forbes, A and Land, K. 2010. Numerical modelling of a thin deformable mirror for laser beam control. Seventh South African Conference on Computational and Applied Mechanics (SACAM10), University of Pretoria, Pretoria, South Africa, 10-13 January 2010 |
en_US |
dc.identifier.uri |
http://hdl.handle.net/10204/5345
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dc.description |
Seventh South African Conference on Computational and Applied Mechanics (SACAM10), University of Pretoria, Pretoria, South Africa, 10-13 January 2010 |
en_US |
dc.description.abstract |
For intra-cavity laser beam control, a small, low-cost deformable mirror is required. This mirror can be used to correct for time- dependent phase aberrations to the laser beam, such as those caused by thermal expansion of materials. A piezoelectric unimorph design is suitable for this application. The proposed unimorph consists of a copper disc with mirror finish, bonded to a piezoelectric disc. The deformations that the mirror is required to perform are routinely (at least in optical applications) described using Zernike polynomials, which are a complete set of orthogonal functions defined on a unit disc. The challenge is to design a device that can represent selected polynomials as accurately as possible with a specified amplitude. To assist in the design process, numerical modelling is required to predict the deformation shapes that can be achieved by a unimorph mirror with a particular electrode pattern. In this paper a previously proposed axisymmetric Rayleigh-Ritz formulation, is extended to account for non-axisymmetric voltage distributions, and therefore non-axisymmetric displacements. The Rayleigh-Ritz model, which uses the Zernike polynomials directly to describe the displacements, produced a small model (stiffness matrix dimension equal to the number of polynomials used) that predicts the deformations of the piezoelectric mirror with remarkable accuracy. The results using this Rayleigh-Ritz formulation are compared to results from a traditional finite element analysis using a commercial finite element package. Both numerical models were applied to model a prototype deformable mirror and produced good agreement with experimental results. |
en_US |
dc.language.iso |
en |
en_US |
dc.publisher |
SACAM 2010 |
en_US |
dc.relation.ispartofseries |
Workflow request;7636 |
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dc.subject |
Deformable mirror |
en_US |
dc.subject |
Laser beam control |
en_US |
dc.subject |
Piezoelectric unimorph |
en_US |
dc.subject |
Applied mechanics |
en_US |
dc.subject |
Laser beams |
en_US |
dc.subject |
SACAM 2010 |
en_US |
dc.title |
Numerical modelling of a thin deformable mirror for laser beam control |
en_US |
dc.type |
Conference Presentation |
en_US |
dc.identifier.apacitation |
Long, C. S., Loveday, P. W., Forbes, A., & Land, K. (2010). Numerical modelling of a thin deformable mirror for laser beam control. SACAM 2010. http://hdl.handle.net/10204/5345 |
en_ZA |
dc.identifier.chicagocitation |
Long, Craig S, Philip W Loveday, A Forbes, and K Land. "Numerical modelling of a thin deformable mirror for laser beam control." (2010): http://hdl.handle.net/10204/5345 |
en_ZA |
dc.identifier.vancouvercitation |
Long CS, Loveday PW, Forbes A, Land K, Numerical modelling of a thin deformable mirror for laser beam control; SACAM 2010; 2010. http://hdl.handle.net/10204/5345 . |
en_ZA |
dc.identifier.ris |
TY - Conference Presentation
AU - Long, Craig S
AU - Loveday, Philip W
AU - Forbes, A
AU - Land, K
AB - For intra-cavity laser beam control, a small, low-cost deformable mirror is required. This mirror can be used to correct for time- dependent phase aberrations to the laser beam, such as those caused by thermal expansion of materials. A piezoelectric unimorph design is suitable for this application. The proposed unimorph consists of a copper disc with mirror finish, bonded to a piezoelectric disc. The deformations that the mirror is required to perform are routinely (at least in optical applications) described using Zernike polynomials, which are a complete set of orthogonal functions defined on a unit disc. The challenge is to design a device that can represent selected polynomials as accurately as possible with a specified amplitude. To assist in the design process, numerical modelling is required to predict the deformation shapes that can be achieved by a unimorph mirror with a particular electrode pattern. In this paper a previously proposed axisymmetric Rayleigh-Ritz formulation, is extended to account for non-axisymmetric voltage distributions, and therefore non-axisymmetric displacements. The Rayleigh-Ritz model, which uses the Zernike polynomials directly to describe the displacements, produced a small model (stiffness matrix dimension equal to the number of polynomials used) that predicts the deformations of the piezoelectric mirror with remarkable accuracy. The results using this Rayleigh-Ritz formulation are compared to results from a traditional finite element analysis using a commercial finite element package. Both numerical models were applied to model a prototype deformable mirror and produced good agreement with experimental results.
DA - 2010-01
DB - ResearchSpace
DP - CSIR
KW - Deformable mirror
KW - Laser beam control
KW - Piezoelectric unimorph
KW - Applied mechanics
KW - Laser beams
KW - SACAM 2010
LK - https://researchspace.csir.co.za
PY - 2010
T1 - Numerical modelling of a thin deformable mirror for laser beam control
TI - Numerical modelling of a thin deformable mirror for laser beam control
UR - http://hdl.handle.net/10204/5345
ER -
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en_ZA |