Publication: Introduction to gyrator transform
Loading...
Official URL
Full text at PDC
Publication Date
2007
Authors
Advisors (or tutors)
Editors
Journal Title
Journal ISSN
Volume Title
Publisher
American Institute of Physics (AIP)
Abstract
We introduce the gyrator transform which produces a rotation of two-dimensional signal in phase space. Main properties of this transform are considered. The flexible optical set up for gyrator transform experimental implementation is discussed. The applications of the gyrator transform to image processing such as filtering, noise reduction, encryption are demonstrated.
Description
© 2007 American Institute of Physics.
International Workshop on Information Optics (6ª. 2007. Reikiavik, Islandia).
Spanish Ministry of Education and Science is acknowledged for financial support, project TEC 2005-02180/MIC.
UCM subjects
Unesco subjects
Keywords
Citation
A. Van der Lugt, ed.. Optical Signal Processing, John Wiley&Sons Inc., New York, (1992).
H. M. Ozaktas, Z. Zalevsky, and M. Alper Kutay, The Fractional Fourier Transform with
Applications in Optics and Signal Processing, John Wiley&Sons, NY, USA (2001).
E. G. Abramochkin and V. G. Volostnikov, "Generalized Gaussian beams”, J. Opt. A.: Pure Appl.
Opt6, S157-S161 (2004).
M. W. Beijersbergen, L. Allen, H. E. L. O. Van der Veen, and J. P. Woerdman, "Astigmatic laser
mode converters and transfer of orbital angular momentum”, Opt. Commun. 96, 123-132 (1993).
5. R. Simon and K. B. Wolf, "Structure of the set of paraxial optical systems”, J. Opt. Soc. Am. A 17,
342-355 (2000).
J. A. Rodrigo, T. Alieva, and M. L. Calvo, "Optical system design for ortho-symplectic
transformations in phase space”, J. Opt. Soc. Am. A 23, 2494-2500 (2006).
J. A. Rodrigo, T. Alieva, and M. L. Calvo, "Gyrator transform properties and applications”, Opt.
Express 15, 2190-2203 (2007).
8. T. Alieva, M.J. Bastiaans, and M. L. Calvo, "Fractional transforms in optical information
processing”, EURASIP J. Appl. Signal Process. 2005, pp. 1498-1519 (2005).
M. Bastiaans and T. Alieva, "First-order optical systems with unimodular eigenvalues”, J. Opt Soc.
Am. A 23, 1875-1883(2006).
10. A. W. Lohmann, Z. Zalevsky, and D. Mendlovic, "Synthesis of partem recognition filters for
fractional Fourier processing”, Optics Communications 128, 199-204 (1996).
ll.N. Towghi, B. Javidi, Z. Luo, "Fully phase encrypted image processor”, J. Opt. Soc. Am. A 16,1915-
1927 (1999).
12. G. Unnikrishnan, J. Joseph, and K. Singh, "Optical encryption by double-random phase encording in
the fractional Fourier domain”, Opt. Lett. 25, 887-889 (2000).