Spiral phase filtering and orientation-selective edge detection/enhancement

Journal of the Optical Society of America A: Optics and Image Science, and Vision

Volumn 26, Issue 8, 2009, Pages 1789-1798

  Situ, Guohai ^a   Pedrini, Giancarlo ^a   Osten, Wolfgang ^a  

^a UNIVERSITY OF STUTTGART   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

LIGHT; LIGHT MODULATORS; LIGHT TRANSMISSION; SWITCHING FUNCTIONS;

4-F SYSTEM; AZIMUTHAL STRUCTURES; CONTROLLABLE ORIENTATION; EDGE DISCONTINUITIES; EDGE ENHANCEMENTS; FILTERING PROCESS; FOURIER SPECTRA; INPUT PATTERNS; LATERAL SHIFTING; OPTICAL EXPERIMENTS; SPATIAL LIGHT MODULATORS; SPIRAL PHASE; SPIRAL PHASE PLATES; SPIRAL-PHASE FILTERS; TOPOLOGICAL CHARGES; VORTEX FORMATION;

LIGHT MODULATION;

EID: 68849121981     PISSN: 10847529     EISSN: 15208532     Source Type: Journal    
DOI: 10.1364/JOSAA.26.001789     Document Type: Article

References (37)

1. M. W. Beijersbergen, R. P. C. Coerwinkel, M. Kristensen, and J. P. Woerdman, "Helical-wavefront laser beams produced with a spiral phaseplate," Opt. Commun. 112, 321-327 (1994).
2. V. V. Kotlyar, A. A. Almazov, S. N. Khonina, V. A. Soifer, H. Elfstrom, and J. Turunen, "Generation of phase singularity through diffraction of a plane or Gaussian beam by a spiral phase plate," J. Opt. Soc. Am. A 22, 849-861 (2005).
3. V. V. Kotlyar, S. N. Khonina, A. A. Kovalev, V. A. Soifer, H. Elfstrom, and J. Turunen, "Diffraction of a plane, finiteradius wave by a spiral phase plate," Opt. Lett. 31, 1597-1599 (2006).
4. V. V. Kotlyar, A. A. Kovalev, R. V. Skidanov, O. Y. Moiseev, and V. A. Soifer, "Diffraction of a finite-radius plane wave and a Gaussian beam by a helical axicon and a spiral phase plate," J. Opt. Soc. Am. A 24, 1955-1964 (2007).
5. L. Allen, M. W. Beijersbergen, R. J. C. Spreeuw, and J. P. Woerdman, "Orbital angular momentum of light and the transformation of Laguerre-Gaussian laser modes," Phys. Rev. A 45, 8185-8190 (1992).
6. H. He, M. E. J. Friese, N. R. Heckenberg, H. Rubinsztein-Dunlop, "Direct observation of transfer of angular momentum to absorptive particles from a laser beam with a phase singularity," Phys. Rev. Lett. 75, 826-829 (1995).
7. A. Mair, A. Vaziri, G. Weihs, and A. Zeilinger, "Entanglement of the orbital angular momentum states of photons," Nature (London) 412, 313-315 (2001).
8. S. N. Khonina, V. V. Kotlyar, M. V. Shinkaryev, V. A. Soifer, and G. V. Uspleniev, "The phase rotor filter," J. Mod. Opt. 39, 1147-1154 (1992).
9. J. A. Davis, D. E. McNamara, D. M. Cottrell, and J. Campos, "Image processing with the radial Hilbert transform: theory and experiments," Opt. Lett. 25, 99-101 (2000).
10. J. A. Davis, D. E. McNamara, and D. M. Cottrell, "Analysis of the fractional Hilbert transform," Appl. Opt. 37, 6911-6913 (1998).
11. C.-S. Guo, Y. Zhang, Y.-J. Han, J.-P. Ding, and H.-T. Wang, "Generation of optical vortices with arbitrary shape and array via helical phase spatial filtering," Opt. Commun. 259, 449-454 (2006).
12. K. G. Larkin, D. J. Bone, and M. A. Oldfield, "Natural demodulation of two-dimensional fringe patterns. I. General background of the spiral phase quadrature transform," J. Opt. Soc. Am. A 18, 1862-1870 (2001).
13. S. Fürhapter, A. Jesacher, S. Bernet, and M. Ritsch-Marte, "Sprial phase contrast imaging in microscopy," Opt. Express 13, 689-694 (2005).
14. A. Jesacher, S. Fürhapter, S. Bernet, and M. Ritsch-Marte, "Shadow effects in spiral phase contrast microscopy," Phys. Rev. Lett. 94, 233902 (2005).
15. C. Maurer, A. Jesacher, S. Fürhapter, S. Bernet, and M. Ritsch-Marte, "Upgrading a microscope with a spiral phase plate," J. Microsc. 230, 134-142 (2007).
16. A. Sakdinawat and Y. Liu, "Soft-x-ray microscopy using spiral zone plates," Opt. Lett. 32, 2635-2637 (2007).
17. Q. Xie and D. Zhao, "Generation of dark hollow beams by using a fractional radial Hilbert transform system," Opt. Commun. 275, 394-398 (2007).
18. R. C. Gonzalez and R. E. Woods, Digital Image Processing, 2nd ed. (Prentice Hall, 2002).
19. J. Xia, D. B. Dunn, T.-C. Poon, and P. P. Banerjee, "Image edge enhancement by Bragg diffraction," Opt. Commun. 128, 1-7 (1996).
20. D. Cao, P. P. Banerjee, and T.-C. Poon, "Image edge enhancement with two cascaded acousto-optic cells with contrapropagating sound," Appl. Opt. 37, 3007-3014 (1998).
21. A. Márquez, C. Neipp, A. Beléndez, S. Gallego, M. Ortuño, and I. Pascual, "Edge-enhanced imaging with polyvinyl alcohol/acrylamide photopolymer gratings," Opt. Lett. 28, 1510-1512 (2003).
22. S. Greenberg and D. Kogan, "Structure-adaptive anisotropic filter applied to fingerprints," Opt. Eng. (Bellingham) 44, 127004 (2005).
23. X. Chen, J. Tian, Y. Zhang, and X. Yang, "Enhancement of low quality fingerprints based on anisotropic filtering," Lect. Notes Comput. Sci. 3832, 302-308 (2005).
24. J. A. Davis, D. A. Smith, D. E. McNamara, D. M. Cottrell, and J. Campos, "Fractional derivatives - analysis and experimental implementation," Appl. Opt. 40, 5943-5948 (2001).
25. J. A. Davis and M. D. Nowak, "Selective edge enhancement of images with an acousto-optic light modulator," Appl. Opt. 23, 4835-4839 (2002).
26. A. W. Lohmann, D. Mendlovic, and Z. Zalevsky, "Fractional Hilbert transform," Opt. Lett. 21, 281-283 (1996).
27. A. W. Lohmann, E. Tepichin, and J. G. Ramirez, "Optical implementation of the fractional Hilbert transform," Appl. Opt. 36, 6620-6626 (1997).
28. M. V. Berry, "Optical vortices evolving from helicoidal integer and fractional phase steps," J. Opt. A, Pure Appl. Opt. 6, 259-268 (2004).
29. J. Leach, E. Yao, and M. J. Padgett, "Observation of the vortex structure of a non-integer vortex beam," New J. Phys. 6, 71 (2004).
30. W. M. Lee, X. C. Yuan, and K. Dholakia, "Experimental observation of optical vortex evolution in a Gaussian beam with an embedded fractional phase step," Opt. Commun. 239, 129-135 (2004).
31. J. B. Götte, S. Franke-Arnold, R. Zambrini, and S. M. Barnett, "Quantum formulation of fractional orbital angular momentum," J. Mod. Opt. 54, 1723-1738 (2007).
32. J. B. Götte, K. O'Holleran, D. Preece, F. Flossmann, S. Franke-Arnold, S. M. Barnett, and M. J. Padgett, "Light beams with fractional orbital angular momentum and their vortex structure," Opt. Express 16, 993-1006 (2008).
33. S. S. R. Oemrawsingh, A. Aiello, E. R. Eliel, G. Nienhuis, and J. P. Woerdman, "How to observe high-dimensional two-photon entanglement with only two detectors," Phys. Rev. Lett. 92, 217901 (2004).
34. I. V. Basistiy, V. A. Pas'ko, V. V. Slyusar, M. S. Soskin, and M. V. Vasnetsov, "Synthesis and analysis of optical vortices with fractional topological charges," J. Opt. A, Pure Appl. Opt. 6, S166-S169 (2004).
35. G. B. Arfken and H. J. Weber, Mathematical Methods For Physicists, 5th ed. (Academic, 2001).
36. M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables (Dover, 1970).
37. C. Kohler, X. Schwab, and W. Osten, "Optimally tuned spatial light modulators for digital holography," Appl. Opt. 45, 960-967 (2006).