Characteristics of scalar random field and its vortex networks. Recovery of the optical phase

Journal of Optics A: Pure and Applied Optics

Volumn 11, Issue 9, 2009, Pages

  Galushko, Yu ^a   Mokhun, I ^a  

^a CHERNIVTSI NATIONAL UNIVERSITY   (Ukraine)

Author keywords

Field's reconstruction; Inverse source problem; Network; Phase; Singular optics; Statistical field; Vortex

Indexed keywords

FIELD'S RECONSTRUCTION; INVERSE SOURCE PROBLEM; NETWORK; PHASE; SINGULAR OPTICS; STATISTICAL FIELD; VORTEX;

IMAGE RECONSTRUCTION; REPAIR; VORTEX FLOW;

COMPUTER SIMULATION;

EID: 70449345984     PISSN: 14644258     EISSN: 17413567     Source Type: Journal    
DOI: 10.1088/1464-4258/11/9/094017     Document Type: Article

References (18)

1. Baltes H P 1978 Inverse Source Problems in Optics (Berlin: Springer)
2. Curtis S R and Oppenheim A V 1987 Reconstruction of multidimensional signals from zero crossings J. Opt. Soc. Am. 4 221-31
3. Logan B F Jr 1977 Information in zero crossing of bandpass signals Bell Syst. Tech. J. 56 487-510
4. Nye J F 1999 Natural Focusing and Fine Structure of Light (Bristol: Institute of Physics Publishing)
5. Nye J F and Berry M 1974 Dislocations in wave trains Proc. R. Soc. A 336 165-90
6. Nye J F, Hajnal J V and Hannay J H 1988 Phase saddles and dislocations in two-dimensional waves such as the tides Proc. R. Soc. A 417 7-20
7. Freund I and Shvartsman N 1994 Wave-field singularities: the sign principle Phys. Rev. 50 5164-72
8. Freund I, Shvartsman N and Freilikher V 1993 Optical dislocation networks in highly random media Opt. Commun. 101 247-64
9. Mokhun I 2007 Optical Correlation Techniques and Applications ed O V Angelsky (Bellingham, WA: SPIE Optical Engineering Press) chapter 1 (Introduction to Linear Singular Optics)
10. Benedetto J J and Ferreira P J S G 2001 Modern Sampling Theory. Mathematics and Applications (Basle: Birkhauser)
11. Baranova N B et al 1983 Wavefront dislocations: topological limitations for adaptive systems with phase conjugation J. Opt. Soc. Am. A 73 525-8
12. Freund I 1998 '1001' correlations in random wave fields Waves Random Media 8 119-58 (Pubitemid 128625858)
13. Freund I and Shvartsman N 1994 Vortices in random wave fields: nearest neighbor anticorrelations Phys. Rev. Lett. 72 1008-11
14. Freund I 1995 Saddles, singularities, and extrema in a random-phase fields Phys. Rev. E 52 2348-60
15. Shvartsman N and Freund I 1995 Speckle spots ride phase saddles sidesaddle Opt. Commun. 117 228-34
16. Freund I 1995 Optical phase maps Proc. SPIE 2389 411-9
17. Nieto-Vesperinas M 1991 Scattering and Diffraction in Physical Optics (Wiley-Interscience)
18. Galushko Yu and Mokhun I 2008 Detection of the vortices signs in the scalar fields Opt. Appl. 4 705-13