Pseudo-phase mapping of speckle fields using 2D Hilbert transformation

• Autorzy: Zenkova C. Y. , Gorsky M. P. , Ryabiy P. A.

Identyfikatory

DOI

10.5277/oa160114

• Języki publikacji: EN

Abstrakty

EN

The use of a "window" 2D Hilbert transform for the reconstruction of the phase distribution of the intensity of a speckle field is proposed. It is shown that the advantage of this approach consists in the invariance of a phase map to a change of the position of the kernel of transformation and in the possibility to reconstruct the structure-forming elements of the skeleton of an optical field, including singular points and saddle points. We demonstrate the possibility to reconstruct the equi-phase lines within a narrow confidence interval, and introduce an additional algorithm for solving the phase problem for random 2D intensity distributions.

Słowa kluczowe

EN

speckle field; singular points; saddle points; phase problem

• Wydawca: Oficyna Wydawnicza Politechniki Wrocławskiej
• Czasopismo: Optica Applicata
• Rocznik: 2016
• Tom: Vol. 46, nr 1
• Strony: 153--162
• Opis fizyczny: Bibliogr. 19 poz., rys.

Twórcy

autor

Zenkova C. Y.

• Chernivtsi National University, 2, Kotsyubinsky St., Chernivtsi 58012, Ukraine

autor

Gorsky M. P.

• Chernivtsi National University, 2, Kotsyubinsky St., Chernivtsi 58012, Ukraine

autor

Ryabiy P. A.

• Chernivtsi National University, 2, Kotsyubinsky St., Chernivtsi 58012, Ukraine

Bibliografia

• [1] WEI WANG, CHIBA K., HANSON S.G., TAKEDA M., Vortex sheets in optical and coherence fields, Proceedings of SPIE 6905, 2008, article 690506.
• [2] FREUND I., SHVARTSMAN N., FREILIKHER V., Optical dislocation networks in highly random media, Optics Communications 101(3–4), 1993, pp. 247–264.
• [3] FREUND I., SHVARTSMAN N., Wave-field singularities: the sign principle, Physical Review A 50(6), 1994, pp. 5164–5172.
• [4] ANGELSKY O.V., MAKSIMYAK P.P., PERUN T.O., Dimensionality in optical fields and signals, Applied Optics 32(30), 1993, pp. 6066–6071.
• [5] ANGELSKY O.V., MAKSIMYAK A.P., MAKSIMYAK P.P., HANSON S.G., Optical correlation diagnostics of rough surfaces with large surface inhomogeneities, Optics Express 14(16), 2006, pp. 7299–7311.
• [6] ANGELSKY O.V., BESAHA R.N., MOKHUN A.I., MOKHUN I.I., SOPIN M.O., SOSKIN M.S., VASNETSOV M.V., Singularities in vectoral fields, Proceedings of SPIE 3904, 1999, pp. 40–54
• [7] POLYANSKII V.K., ANGELSKY O.V., POLYANSKII P.V., Scattering-induced spectral changes as a singular optical effect, Optica Applicata 32(4), 2002, pp. 843–848.
• [8] DUADI H., MARGALIT O., MICO V., RODRIGO J.A., ALIEVA T., GARCIA J., ZALEVSKY Z., Digital holography and phase retrieval, [In] Holography, Research and Technologies, [Ed.] Rosen J., InTech, 2011.
• [9] ANGEL’SKIĬ O.V., USHENKO A.G., ERMOLENKO S.B., BURKOVETS D.N., PISHAK V.P., USHENKO YU.A., PISHAK O.V., Polarization-based visualization of multifractal structures for the diagnostics of pathological changes in biological tissues, Optics and Spectroscopy 89(5), 2000, pp. 799–804.
• [10] ANGEL’SKIĬ O.V., USHENKO A.G., ARKHELYUK A.D., ERMOLENKO S.B., BURKOVETS D.N., USHENKO YU.A., Laser polarimetry of pathological changes in biotissues, Optics and Spectroscopy 89(6), 2000, pp. 973–978.
• [11] KIRKPATRICK S.J., KHAKSARI K., THOMAS D., DUNCAN D.D., Optical vortex behavior in dynamic speckle fields, Journal of Biomedical Optics 17(5), 2012, article 050504.
• [12] ANGELSKY O.V., GORSKY M.P., HANSON S.G., LUKIN V.P., MOKHUN I.I., POLYANSKII P.V., RYABIY P.A., Optical correlation algorithm for reconstructing phase skeleton of complex optical fields for solving the phase problem, Optics Express 22(5), 2014, pp. 6186–6193.
• [13] ZENKOVA C.YU., GORSKY M.P., RYABIY P.A., GRUIA I., Different approaches to phase restoration of distant complex optical fields, Optica Applicata 45(2), 2015, pp. 139–150.
• [14] KE WANG, PENGFENG XIAO, XUEZHI FENG, GUIPING WU, Image feature detection from phase congruency based on two-dimensional Hilbert transform, Pattern Recognition Letters 32(15), 2011, pp. 2015–2024.
• [15] GRANLUND G.H., Signal Processing for Computer Vision, Kluwer Academic Publishers, Dordrecht, 1995.
• [16] HAHN S.L., Hilbert Transforms in Signal Processing, Artech House, Boston, London, 1996.
• [17] READ R.R., TREITEL S., The stabilization of two-dimensional recursive filters via the discrete Hilbert transform, IEEE Transactions on Geoscience Electronics 11(3), 1973, pp. 153–160.
• [18] BOSE N., PRABHU K., Two-dimensional discrete Hilbert transform and computational complexity aspects in its implementation, IEEE Transactions on Acoustics, Speech, and Signal Processing 27(4), 1979, pp. 356–360.
• [19] NYE J.F., HAJNAL J.V., HANNAY J.H., Phase saddles and dislocations in two-dimensional waves such as the tides, Proceedings of the Royal Society of London A 417(1852), 1988, pp. 7–20.

Uwagi

PL

Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę.