Modeling the rail surface unevenness of a high-precision radio telescope

This study proposed a coarse-fine mixed model for describing the rail surface unevenness of an ultra-large fully steerable radio telescope （Qi Tai Telescope） with a diameter of 110 meters. The rail surface unevenness includes information on error arising from two different scales, i.e., the long-per...

Full description

Saved in:
Bibliographic Details
Published inResearch in astronomy and astrophysics Vol. 17; no. 3; pp. 13 - 22
Main Authors Li, Na, Li, Peng, Wu, Jiang, Duan, Bao-Yan
Format Journal Article
LanguageEnglish
Published National Astronomical Observatories, CAS and IOP Publishing Ltd 01.02.2017
Subjects
Error analysis
instrumentation: adaptive optics
magnetic fields
Mathematical models
methods: numerical
Modelling
radiation mechanisms: general
Radio telescopes
Rails
Telescopes
Unevenness
Wavelet transforms
China, People's Rep., Beijing
Online AccessGet full text

Cover

More Information
Summary:This study proposed a coarse-fine mixed model for describing the rail surface unevenness of an ultra-large fully steerable radio telescope （Qi Tai Telescope） with a diameter of 110 meters. The rail surface unevenness includes information on error arising from two different scales, i.e., the long-period- short-change and the short-period-long-change. Consequently, in this study an idea of a mixed model was proposed, in which trigonometric and fractal functions were, respectively, used to describe infor- mation on error from two scales. Key parameters were determined by using the least squares method and the wavelet transform method, and finally, a specific mathematical expression of the model was obtained by optimization. To validate the effectiveness of the new modeling method, the mixed model was then used to describe the rails of the Green Bank Telescope, the Large Millimeter Telescope, and a radio telescope in Miyun, Beijing. A comparative study revealed that the maximum error was less than 15 %, thus the result was superior to those of existing modeling methods.
Bibliography:Key words： magnetic fields -- radiation mechanisms： general - instrumentation： adaptive optics -methods： numerical - telescopes
11-5721/P
This study proposed a coarse-fine mixed model for describing the rail surface unevenness of an ultra-large fully steerable radio telescope （Qi Tai Telescope） with a diameter of 110 meters. The rail surface unevenness includes information on error arising from two different scales, i.e., the long-period- short-change and the short-period-long-change. Consequently, in this study an idea of a mixed model was proposed, in which trigonometric and fractal functions were, respectively, used to describe infor- mation on error from two scales. Key parameters were determined by using the least squares method and the wavelet transform method, and finally, a specific mathematical expression of the model was obtained by optimization. To validate the effectiveness of the new modeling method, the mixed model was then used to describe the rails of the Green Bank Telescope, the Large Millimeter Telescope, and a radio telescope in Miyun, Beijing. A comparative study revealed that the maximum error was less than 15 %, thus the result was superior to those of existing modeling methods.
ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 23
ISSN:1674-4527
2397-6209
DOI:10.1088/1674-4527/17/3/23