Representation of Karhunen-Loeve-Obukhov functions in bases of Walsh and Haar

Yusup N. Isaev, Viktor A. Banakh, Elena V. Zakharova

Результат исследования: Материалы для журналаСтатья

1 Цитирования (Scopus)


Authors obtained the analytical relations allowing one to realize a transformation in expansions of optical wave phase from the Haar and Walsh bases, which are characterized by a simplicity of engineering realization in compensating devices of adaptive optics systems (AOS), to the statistically optimal Karhunen-Loeve-Obukhov basis describing the most completely and accurately the criteria of AOS approximation to ideal diffraction-limited system. The relations obtained and use of the fast Walsh and Haar transform algorithms allow one to approach the real time in wavefront reconstruction. Moreover, the analytical relations obtained allows an influence of the outer scale of turbulence to be taken into account. Results of numerical calculations of the transformation matrix are presented.

Язык оригиналаАнглийский
Страницы (с... по...)507-514
Количество страниц8
ЖурналProceedings of SPIE - The International Society for Optical Engineering
Статус публикацииОпубликовано - 1997
Опубликовано для внешнего пользованияДа


ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics
  • Computer Science Applications
  • Applied Mathematics
  • Electrical and Electronic Engineering