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Zernike polynomiales for opticl system with horizantal rectangular aperture
Other Title(s)
متسلسلة زرنيخ لمنظومة بصرية ذات فتحه مستطيلة أفقيا
Joint Authors
al-Asadi, Sundus Yasin Hasan
al-Hamdani, Ali Hadi Abd al-Munim
Source
Ibn al-Haitham Journal for Pure and Applied Science
Issue
Vol. 21, Issue 3 (30 Sep. 2008), pp.51-59, 9 p.
Publisher
University of Baghdad College of Education for Pure Science / Ibn al-Haitham
Publication Date
2008-09-30
Country of Publication
Iraq
No. of Pages
9
Main Subjects
Topics
Abstract AR
For small aberrations, the Strehl ratio of an imaging system depends on the aberration variance.
Its aberration function is expanded ٨؛ terms of Zernike polynomials, which are orthogonal over a circulai• aperture.
Their advantage lies in the fact that they can be identified with classical aberrations balanced to yield minimum variance, and thus maximum Strehl ratio.
In recent paper, we derived closed form of Zernike polynomials that are orthonormal over a horizontal rectangular pupil (parallel to the x-axies) with area equal 7t.
Using tile circle polynomials as the basis functions for their orthogonalization over such pupil, we derive dosed-form polynomials that are orthonormal over rectangular pupil by using Gram-shmii method These polynomials are unique in that they are not only orthogonal across such pupils, but also represent balanced classical aberrations, just as the Zemike circle polynomials are unique in these respects but also represent balanced classical aberrations.
American Psychological Association (APA)
al-Hamdani, Ali Hadi Abd al-Munim& al-Asadi, Sundus Yasin Hasan. 2008. Zernike polynomiales for opticl system with horizantal rectangular aperture. Ibn al-Haitham Journal for Pure and Applied Science،Vol. 21, no. 3, pp.51-59.
https://search.emarefa.net/detail/BIM-355424
Modern Language Association (MLA)
al-Hamdani, Ali Hadi Abd al-Munim& al-Asadi, Sundus Yasin Hasan. Zernike polynomiales for opticl system with horizantal rectangular aperture. Ibn al-Haitham Journal for Pure and Applied Science Vol. 21, no. 3 (2008), pp.51-59.
https://search.emarefa.net/detail/BIM-355424
American Medical Association (AMA)
al-Hamdani, Ali Hadi Abd al-Munim& al-Asadi, Sundus Yasin Hasan. Zernike polynomiales for opticl system with horizantal rectangular aperture. Ibn al-Haitham Journal for Pure and Applied Science. 2008. Vol. 21, no. 3, pp.51-59.
https://search.emarefa.net/detail/BIM-355424
Data Type
Journal Articles
Language
English
Notes
Includes appendix : p. 58
Record ID
BIM-355424