Publication:
Power filtering of nth order in the fractional Fourier domain

Loading...
Thumbnail Image
Full text at PDC
Publication Date
2002-09-13
Advisors (or tutors)
Editors
Journal Title
Journal ISSN
Volume Title
Publisher
IOP Publishing
Citations
Google Scholar
Research Projects
Organizational Units
Journal Issue
Abstract
The main properties of the power filtering operation in the fractional Fourier domain and its relationship to the differentiation operation are considered. The application of linear power filtering for solving the phase retrieval problem from intensity distributions only is proposed. The optical configuration for the experimental realization of the method is discussed.
Description
© 2002 IOP Publishing Ltd. Financial assistance fromthemultidisciplinary project PR486/97-7477/97from Complutense University of Madrid and grant TIC2000-2791-E from the Spanish Ministry of Science and Technology is acknowledged. TA would like to acknowledge the financial support from Secretaría de Estado de Educación y Universidades (SB2000-0166), the Spanish Ministry of Education, Culture and Sport.
Keywords
Citation
[1] Namias V 1980 J. Inst. Math. Appl. 25 241. [2] McBride A C and Kerr F H 1987 IMA J. Appl. Math. 39 159. [3] Mendlovic D and Ozaktas H M 1993 J. Opt. Soc. Am. A 10 1875. [4] Almeida L B 1994 IEEE Trans. Signal Process. 42 3084. [5] Ozaktas H M, Zalevsky Z and Kutay M A 2001 The Fractional Fourier Transform—with Applications in Optics and Signal Processing (Chichester: Wiley). [6] Mendlovic D, Ozaktas H M and Lohmann A W 1995 Appl. Opt. 34 303. [7] Mustard D 1998 J. Aust. Math. Soc. B 40 257. [8] Akay O and Boudreaux-Bartels G F 2001 IEEE Trans. Signal Process. 49 979. [9] Lohmann A W 1993 J. Opt. Soc. Am. A 10 2181. [10] Abramowitz M and Stegun I A 1965 Handbook of Mathematical Functions (New York: Dover) p 12. [11] Ozaktas H M, Arikan O, Kutay M A and Bozdagi G 1996 IEEE Trans. Signal Process. 44 2141.
Collections