Programmable two-dimensional optical fractional Fourier processor

Optics Express

Volumn 17, Issue 7, 2009, Pages 4976-4983

  Rodrigo, José A ^a   Alieva, Tatiana ^a   Calvo, María L ^a  

^a UNIVERSIDAD COMPLUTENSE DE MADRID   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

SEARCH ENGINES;

BEAM CHARACTERIZATION; FRACTIONAL FOURIER; FRACTIONAL FOURIER TRANSFORMS; FRACTIONAL ORDER; PHASE FACTOR; PHASE RETRIEVAL; REAL TIME;

OPTICAL SYSTEMS;

ARTICLE; COMPUTER AIDED DESIGN; EQUIPMENT; EQUIPMENT DESIGN; FOURIER ANALYSIS; INSTRUMENTATION; OPTICAL INSTRUMENTATION; REPRODUCIBILITY; SENSITIVITY AND SPECIFICITY; SIGNAL PROCESSING;

COMPUTER-AIDED DESIGN; EQUIPMENT DESIGN; EQUIPMENT FAILURE ANALYSIS; FOURIER ANALYSIS; OPTICAL DEVICES; REPRODUCIBILITY OF RESULTS; SENSITIVITY AND SPECIFICITY; SIGNAL PROCESSING, COMPUTER-ASSISTED;

EID: 65249119698     PISSN: None     EISSN: 10944087     Source Type: Journal    
DOI: 10.1364/OE.17.004976     Document Type: Article

References (16)

1. H, M. Ozaktas, Z, Zalevsky, and M, A, Kutay, The Fractional Fourier Transform with Applications in Optics and Signal Processing (John Wiley&Sons, NY, USA, 2001).
2. D. F. McAlister, M. Beck, L. Clarke, A. Mayer, and M. G. Raymer, "Optical phase retrieval by phase-space tomography and fractional-order Fourier transforms," Opt. Lett. 20, 1181-1183 (1995). URL http://ol.osa.org/abstract.cfm?URI=ol-20-10-1181.
3. J. A. Rodrigo, T. Alieva, and M. L. Calvo, "Optical system design for orthosymplectic transformations in phase space," J. Opt. Soc. Am. A 23, 2494-2500 (2006), http://josaa.osa.org/abstract.cfm?URI=josaa-23-10- 2494.
4. D. Mendlovic and H. M. Ozaktas, "Fractional Fourier transform and their optical implementation," J. Opt. Soc. Am. A 10, 1875-1881 (1993).
5. A. W. Lohmann, "Image rotation, Wigner rotation, and the fractional order Fourier transform," J. Opt. Soc. Am. A 10, 2181-2186 (1993).
6. A. Sahin, H. M. Ozaktas, and D. Mendlovic, "Optical Implementations of Two-Dimensional Fractional Fourier Transforms and Linear Canonical Transforms with Arbitrary Parameters," Appl. Opt. 37, 2130-2141 (1998), http://ao.osa.org/abslract cfm?URI=ao-37-11-2130.
7. I. Moreno, J. A. Davis, and K. Crabtree, "Fractional Fourier transform optical system with programmable diffractive lenses," Appl. Opt. 42, 6544-6548 (2003).
8. A. A. Malyutin, "Tunable Fourier transformer of the fractional order," Quantum Electron. 36, 79-83 (2006).
9. 1. Moreno, C. Ferreira, and M. M. Sanchez-Lopez, "Ray matrix analysis of anamorphic fractional Fourier systems," J. Opt. A: Pure and Applied Optics 8, 427-435 (2006), http://stacks.iop.Org/1464-4258/8/427.
10. J. A. Rodrigo, T. Alieva, and M. L. Calvo, "Gyrator transform: properties and applications," Opt. Express 15, 2190-2203 (2007), http://www.oplicsexpress.org/abslract.cfm?URI=oe-15-5-2190.
11. J. A. Rodrigo, T. Alieva, and M. L. Calvo, "Experimental implementation of the gyrator transform," J. Opt. Soc. Am. A 24, 3135-3139 (2007), http://josaa.osa.org/abstract.cfm?URI=josaa-24-10-3135.
12. G. Nemes and A. E. Seigman, "Measurement of all ten second-order moments of an astigmatic beam by use of rotating simple astigmatic (anamorphic) optics," J. Opt. Soc. Am. A 11, 2257-2264 (1994).
13. J. A. Rodrigo, "First-order optical systems in information processing and optronic devices," Ph.D. thesis, Universidad Complutense de Madrid (2008).
14. T. Alieva and M. J. Bastiaans, "Orthonormal mode sets for the two-dimensional fractional Fourier transformation," Opt. Lett. 32, 1226-1228 (2007), http://ol.osa.org/abstract.cfm?URI=o1-32-10-1226.
15. A. Jesacher, A. Schwaighofer, S. Fürhapter, C. Maurer, S. Bernet, and M. Ritsch-Marte, "Wavefront correction of spatial light modulators using an optical vortex image," Opt. Express 15, 5801-5808 (2007), http://www.opticsexprcss.org/abstract.cfm?URI=oe-15-9-580l.
16. D. Mendlovic, R. G. Dorsch, A. W. Lohmann, Z. Zalevsky, and C. Ferreira, "Optical illustration of a varied fractional Fourier-transform order and the Radon-Wigner display," Appl. Opt. 35, 3925-3929 (1996), http://ao.osa.org/abstract.cfm?URI=ao-35-20-3925.