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http://dx.doi.org/10.3807/JOSK.2016.20.1.192

Distributions of Amplitude and Phase Around C-points: Lemon, Mon-Star, and Star  

Yu, Renlong (Department of Optical Engineering, Nanjing University of Science and Technology)
Ye, Dong (Department of Optical Engineering, Nanjing University of Science and Technology)
Xin, Yu (Department of Optical Engineering, Nanjing University of Science and Technology)
Chen, Yanru (Department of Optical Engineering, Nanjing University of Science and Technology)
Zhao, Qi (Department of Optical Engineering, Nanjing University of Science and Technology)
Publication Information
Journal of the Optical Society of Korea / v.20, no.1, 2016 , pp. 192-198 More about this Journal
Abstract
The distributions of (or constraints for) amplitude and phase around C-points, including Lemon, Mon-Star and Star, are studied. A Cartesian coordinate system with origin at the C-point is established. Four curves, where the azimuthal angles of polarization ellipses are 0°, 45°, 90°, and 135° respectively, are used to determine the distributions. Discussions of these constraints illustrate why Mon-Star is rarer than Lemon or Star in experiments. The transformation relationships between these three polarization singularities (PSs) are also discussed. We construct suitable functions for amplitude and phase according to their constraints, and simulate several PSs of particular shapes. With the development of modulation techniques for amplitude and phase, it is clear that this work is helpful for generating arbitrarily shaped C-points in experiments.
Keywords
Polarization singularity; Distributions of amplitude and phase; Simulation;
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Times Cited By KSCI : 1  (Citation Analysis)
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1 I. Freund, “Optical Möbius strips in three-dimensional ellipse fields: I. Lines of circular polarization,” Opt. Commun. 283, 1-15 (2010).   DOI
2 J. F. Nye, “Lines of circular polarization in electromagnetic wave fields,” Proc. R. Soc. Lond. A 389, 279-290 (1983).   DOI
3 J. F. Nye, Natural Focusing and Fine Structure of Light: Caustics and Wave Dislocations (IOP Publishing, 1999).
4 I. Freund, “O Möbius strips in three-dimensional ellipse fields: II. Lines of linear polarization,” Opt. Compticalmun. 283, 16-28 (2010).   DOI
5 T. Bauer, P. Banzer, E. Karimi, S. Orlov, A. Rubano, L. Marrucci, E. Santamato, R. W. Boyd, and G. Leuchs, “Observation of optical polarization Möbius strips,” Science 347, 964-966 (2015).   DOI
6 F. Flossmann, K. O'Holleran, M. R. Dennis, and M. J. Padgett, "Polarization singularities in 2D and 3D speckle fields," Phys. Rev. Lett. 100, 203902 (2008).   DOI
7 E. J. Galvez, B. L. Rojec, and K. Beach, "Mapping of all polarization-singularity C-point morphologies," Proc. SPIE 8999, 89990I (2014).
8 V. Kumar and N. K. Viswanathan, "Polarization singularities and fiber modal decomposition," Proc. SPIE 8637, 86371A (2013).
9 I. Freund and D. A. Kessler, “Singularities in speckled speckle,” Opt. Lett. 33, 479-481 (2008).   DOI
10 P. Kurzynowski, W. A. Woźniak, M. Zdunek, and M. Borwińska, “Singularities of interference of three waves with different polarization states,” Opt. Express 20, 26755-26765 (2012).   DOI
11 F. Flossmann, U. T. Schwarz, M. Maier, and M. R. Dennis, "Polarization singularities from unfolding an optical vortex through a birefringent crystal," Phys. Rev. Lett. 95, 253901 (2005).   DOI
12 S. Zhang, B. Hu, Y. Lockerman, P. Sebbah, and A. Z. Genack, “Observation of singularities in multiply scattered mircrowave fields,” J. Opt. Soc. Am. A 24, A33-A38 (2007).   DOI
13 R. Yu, Y. Xin, S. Zhao, and Y. Chen, “Calibration of measurement of multiple polarization singularities,” J. Opt. Soc. Korea 19, 397-402 (2015).   DOI
14 M. R. Dennis, “Polarization singularity anisotropy: determining monstardom,” Opt. Lett. 33, 2572-2574 (2008).   DOI
15 R. M. A. Azzam and N. M. Bashara, Ellipsometry and Polarized Light (North-Holland Publishing Company, 1987).
16 M. V. Berry, “Index formulae for singular lines of polarization,” J. Opt. A: Pure Appl. Opt. 6, 675-678 (2004).   DOI
17 M. V. Berry and M. R. Dennis, “Polarization singularities in isotropic random vector waves,” Proc. R. Soc. Lond. A 457, 141-155 (2001).   DOI