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Proceedings Paper

Coplanar three-beam interference and phase edge dislocations
Author(s): Krzysztof Patorski; Łukasz Służewski; Maciej Trusiak; Krzysztof Pokorski
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Paper Abstract

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.

Paper Details

Date Published: 23 December 2016
PDF: 12 pages
Proc. SPIE 10142, 20th Slovak-Czech-Polish Optical Conference on Wave and Quantum Aspects of Contemporary Optics, 101420X (23 December 2016); doi: 10.1117/12.2261821
Show Author Affiliations
Krzysztof Patorski, Warsaw Univ. of Technology (Poland)
Łukasz Służewski, Warsaw Univ. of Technology (Poland)
Maciej Trusiak, Warsaw Univ. of Technology (Poland)
Krzysztof Pokorski, Warsaw Univ. of Technology (Poland)

Published in SPIE Proceedings Vol. 10142:
20th Slovak-Czech-Polish Optical Conference on Wave and Quantum Aspects of Contemporary Optics
Jarmila Müllerová; Dagmar Senderáková; Libor Ladányi; Ľubomír Scholtz, Editor(s)

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