Coplanar three-beam interference and phase edge dislocations

Krzysztof Patorski , Łukasz Służewski , Maciej Trusiak , Krzysztof Pokorski


We present a comprehensive analysis of grating three-beam interference to discover a broad range of the ratio of amplitudes A of +/-1 diffraction orders and the zero order amplitude C providing phase edge dislocations. We derive a condition A/C > 0.5 for the occurrence of phase edge dislocations in three-beam interference self-image planes. In the boundary case A/C = 0.5 singularity conditions are met in those planes (once per interference field period), but the zero amplitude condition is not accompanied by an abrupt phase change. For A/C > 0.5 two adjacent singularities in a single field period show opposite sign topological charges. The occurrence of edge dislocations for selected values of A/C was verified by processing fork fringes obtained by introducing the fourth beam in the plane perpendicular to the one containing three coplanar diffraction orders. Two fork pattern processing methods are described, 2D CWT (two-dimensional continuous wavelet transform) and 2D spatial differentiation.
Author Krzysztof Patorski IMiF
Krzysztof Patorski,,
- The Institute of Micromechanics and Photonics
, Łukasz Służewski WM
Łukasz Służewski,,
- Faculty of Mechatronics
, Maciej Trusiak IMiF
Maciej Trusiak,,
- The Institute of Micromechanics and Photonics
, Krzysztof Pokorski IMiF
Krzysztof Pokorski,,
- The Institute of Micromechanics and Photonics
Publication size in sheets0.55
Book Müllerová Jarmila, Senderáková Dagmar, Ladányi Libor, Scholtz Ľubomír (eds.): Proc. SPIE 10142, 20th Slovak-Czech-Polish Optical Conference on Wave and Quantum Aspects of Contemporary Optics, Proc. SPIE, 2016, SPIE
Keywords in EnglishContinuous wavelet transforms; Diffraction
Languageen angielski
Score (nominal)15
ScoreMinisterial score [Punktacja MNiSW] = 15.0, 08-02-2017, BookChapterMatConf
Ministerial score (2013-2016) [Punktacja MNiSW (2013-2016)] = 15.0, 08-02-2017, BookChapterMatConf
Citation count*0 (2018-06-18)
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