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Efficient first-order performance estimation for high-order adaptive optics systems

Flicker, Ralf LU (2003) In Astronomy & Astrophysics 405(3). p.1177-1189
Abstract
It is shown how first-order performance estimation of high-orderadaptive optics (AO) systems may be efficiently implemented in a hybridnumerical simulation by the use of 1) sparse matrix techniques forwavefront reconstruction, 2) undersampled pupil-plane turbulence-inducedaberrations, and 3) analytical models that compensate - in the limit ofinfinite exposure time - for the errors introduced by undersampling. Asparse preconditioned conjugate gradient (PCG) method is applied forwavefront reconstruction, and it is seen that acceptable AO performancemay be achieved at a relative error tolerance of 0.01, at which thecomputational cost of the sparse PCG scales approximately asO(n<SUP>1.2</SUP>), where n is the number of actuators in... (More)
It is shown how first-order performance estimation of high-orderadaptive optics (AO) systems may be efficiently implemented in a hybridnumerical simulation by the use of 1) sparse matrix techniques forwavefront reconstruction, 2) undersampled pupil-plane turbulence-inducedaberrations, and 3) analytical models that compensate - in the limit ofinfinite exposure time - for the errors introduced by undersampling. Asparse preconditioned conjugate gradient (PCG) method is applied forwavefront reconstruction, and it is seen that acceptable AO performancemay be achieved at a relative error tolerance of 0.01, at which thecomputational cost of the sparse PCG scales approximately asO(n<SUP>1.2</SUP>), where n is the number of actuators in the system.Estimations of adaptive optics performance for extremely high-ordersystems are presented, including multi-conjugate andlaser-guide-star-based systems. The scaling laws for AO performance withtelescope diameter D and turbulence outer scale L0 coupled with the useof laser guide stars are also investigated. It is shown that a single ora small number of laser guide stars (LGS) may still provide a usefullevel of compensation to telescopes with diameters in the range 30-100m, if L0 is on the order of or smaller than D. The deviations fromKolmogorov theory are also investigated for LGS AO. To the best of theauthors knowledge, results presented for a n=65 282 case represent thelargest multi-conjugate adaptive optics system simulated in full todate. (Less)
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author
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
adaptive optics, instrumentation, methods, numerical
in
Astronomy & Astrophysics
volume
405
issue
3
pages
1177 - 1189
publisher
EDP Sciences
external identifiers
  • wos:000183881000042
  • scopus:0038638500
ISSN
0004-6361
DOI
language
English
LU publication?
yes
id
7f0d5193-ebfd-4830-8f27-8c6ae0c398eb (old id 130525)
date added to LUP
2007-07-13 09:57:45
date last changed
2018-05-29 11:40:39
@article{7f0d5193-ebfd-4830-8f27-8c6ae0c398eb,
  abstract     = {It is shown how first-order performance estimation of high-orderadaptive optics (AO) systems may be efficiently implemented in a hybridnumerical simulation by the use of 1) sparse matrix techniques forwavefront reconstruction, 2) undersampled pupil-plane turbulence-inducedaberrations, and 3) analytical models that compensate - in the limit ofinfinite exposure time - for the errors introduced by undersampling. Asparse preconditioned conjugate gradient (PCG) method is applied forwavefront reconstruction, and it is seen that acceptable AO performancemay be achieved at a relative error tolerance of 0.01, at which thecomputational cost of the sparse PCG scales approximately asO(n&lt;SUP&gt;1.2&lt;/SUP&gt;), where n is the number of actuators in the system.Estimations of adaptive optics performance for extremely high-ordersystems are presented, including multi-conjugate andlaser-guide-star-based systems. The scaling laws for AO performance withtelescope diameter D and turbulence outer scale L0 coupled with the useof laser guide stars are also investigated. It is shown that a single ora small number of laser guide stars (LGS) may still provide a usefullevel of compensation to telescopes with diameters in the range 30-100m, if L0 is on the order of or smaller than D. The deviations fromKolmogorov theory are also investigated for LGS AO. To the best of theauthors knowledge, results presented for a n=65 282 case represent thelargest multi-conjugate adaptive optics system simulated in full todate.},
  author       = {Flicker, Ralf},
  issn         = {0004-6361},
  keyword      = {adaptive optics,instrumentation,methods,numerical},
  language     = {eng},
  number       = {3},
  pages        = {1177--1189},
  publisher    = {EDP Sciences},
  series       = {Astronomy & Astrophysics},
  title        = {Efficient first-order performance estimation for high-order adaptive optics systems},
  url          = {http://dx.doi.org/},
  volume       = {405},
  year         = {2003},
}