Variational solution for modal wave-front projection functions of minimum-error norm

Solomon, Christopher J. and Loos, G.C. and Rios, S. (2001) Variational solution for modal wave-front projection functions of minimum-error norm. Journal of the Optical Society of America A: Optics and Image Science, and Vision, 18 (7). pp. 1519-1522. ISSN 0740-3232. (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided)

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Abstract

Common wave-front sensors such as the Hartmann or curvature sensor provide measurements of the local gradient or Laplacian of the wave front. The expression of wave fronts in terms of a set of orthogonal basis functions thus generally leads to a linear wave-front-estimation problem in which modal cross coupling occurs. Auxiliary vector functions may be derived that effectively restore the orthogonality of the problem and enable the modes of a wave front to be independently and directly projected from slope measurements. By using variational methods, we derive the necessary and sufficient condition for these auxiliary vector functions to have minimum-error norm. For the specific case of a slope-based sensor and a basis set comprising the Zernike circular polynomials, these functions are precisely the Gavrielides functions. © 2001 Optical Society of America.

Item Type: Article
Additional information: Unmapped bibliographic data: LA - English [Field not mapped to EPrints] J2 - J Opt Soc Am A [Field not mapped to EPrints] AD - School of Physical Sciences, University of Kent, Canterbury CT2 7NR, United Kingdom [Field not mapped to EPrints] AD - Air Force Research Laboratoires, Albuquerque, NM 87117-6008, United States [Field not mapped to EPrints] AD - Area de Optica, Departmento de Fisica Applicada, Universidad Santiago de Compostela, E-15706 Compostela, Galicia, Spain [Field not mapped to EPrints] DB - Scopus [Field not mapped to EPrints]
Uncontrolled keywords: Error analysis, Modal analysis, Optical sensors, Polynomials, Set theory, Variational techniques, Vectors, Curvature sensors, Wavefronts
Subjects: Q Science
Divisions: Faculties > Sciences > School of Physical Sciences > Forensic Imaging Group
Depositing User: Giles Tarver
Date Deposited: 21 May 2015 10:15 UTC
Last Modified: 22 May 2015 11:04 UTC
Resource URI: https://kar.kent.ac.uk/id/eprint/48549 (The current URI for this page, for reference purposes)
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