Efficient first-order performance estimation for high-order adaptive optics systems
(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)
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/130525
- author
- Flicker, Ralf LU
- organization
- publishing date
- 2003
- 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
- 10.1051/0004-6361:20030653
- language
- English
- LU publication?
- yes
- id
- 7f0d5193-ebfd-4830-8f27-8c6ae0c398eb (old id 130525)
- date added to LUP
- 2016-04-01 17:06:04
- date last changed
- 2025-10-14 09:02:32
@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<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.}},
author = {{Flicker, Ralf}},
issn = {{0004-6361}},
keywords = {{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 = {{https://lup.lub.lu.se/search/files/4874804/624154.pdf}},
doi = {{10.1051/0004-6361:20030653}},
volume = {{405}},
year = {{2003}},
}