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Distributions of Amplitude and Phase Around C-points: Lemon, Mon-Star, and Star
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 Title & Authors
Distributions of Amplitude and Phase Around C-points: Lemon, Mon-Star, and Star
Yu, Renlong; Ye, Dong; Xin, Yu; Chen, Yanru; Zhao, Qi;
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 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;
 Language
Korean
 Cited by
1.
Numerical generation of a polarization singularity array with modulated amplitude and phase, Journal of the Optical Society of America A, 2016, 33, 9, 1705  crossref(new windwow)
 References
1.
J. F. Nye, “Lines of circular polarization in electromagnetic wave fields,” Proc. R. Soc. Lond. A 389, 279-290 (1983). crossref(new window)

2.
J. F. Nye, Natural Focusing and Fine Structure of Light: Caustics and Wave Dislocations (IOP Publishing, 1999).

3.
I. Freund, “Optical Möbius strips in three-dimensional ellipse fields: I. Lines of circular polarization,” Opt. Commun. 283, 1-15 (2010). crossref(new window)

4.
I. Freund, “O Möbius strips in three-dimensional ellipse fields: II. Lines of linear polarization,” Opt. Compticalmun. 283, 16-28 (2010). crossref(new window)

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). crossref(new window)

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). crossref(new window)

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). crossref(new window)

10.
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). crossref(new window)

11.
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). crossref(new window)

12.
R. Yu, Y. Xin, S. Zhao, and Y. Chen, “Calibration of measurement of multiple polarization singularities,” J. Opt. Soc. Korea 19, 397-402 (2015). crossref(new window)

13.
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). crossref(new window)

14.
R. M. A. Azzam and N. M. Bashara, Ellipsometry and Polarized Light (North-Holland Publishing Company, 1987).

15.
M. V. Berry, “Index formulae for singular lines of polarization,” J. Opt. A: Pure Appl. Opt. 6, 675-678 (2004). crossref(new window)

16.
M. V. Berry and M. R. Dennis, “Polarization singularities in isotropic random vector waves,” Proc. R. Soc. Lond. A 457, 141-155 (2001). crossref(new window)

17.
M. R. Dennis, “Polarization singularity anisotropy: determining monstardom,” Opt. Lett. 33, 2572-2574 (2008). crossref(new window)