2017-02-09
The Two-Slit Interference of Vector Optical Fields with Both Radially and Azimuthally Variant States of Polarization
By
Progress In Electromagnetics Research M, Vol. 54, 75-82, 2017
Abstract
The interference behaviors of a vector optical field with both radially and azimuthally variant states of polarization (SoP) through the Young's two-slits are theoretically studied. The optical field distribution with periodic stripes in the far field results from the interference of the vector optical field through the Young's two-slits with different initial SoP distributions. It is found that the far-field distribution can be manipulated by the incident vector optical field with the initial phase and SoP distributions. Particularly, the distribution of radially-variant SoP in the cross-section of the incident optical field provides an additional freedom to control the interference patterns of the x-component, y-component and total intensity distribution in far field. This approach provides a new method to further expand the functionality of an optical system by considering the distribution of SoP in field cross-section.
Citation
Tengyue Gao, Chaoyang Qian, Xiaoyu Zhang, and Rui Pin Chen, "The Two-Slit Interference of Vector Optical Fields with Both Radially and Azimuthally Variant States of Polarization," Progress In Electromagnetics Research M, Vol. 54, 75-82, 2017.
doi:10.2528/PIERM16111702
References

1. Litchinitser, N. M., "Structured light meets structured matter," Science, Vol. 337, 1054-1055, 2012.
doi:10.1126/science.1226204        Google Scholar

2. Chen, R. P., Z. Chen, K. H. Chew, P. G. Li, Z. Yu, J. Ding, and S. He, "Structured caustic vector vortex optical field: Manipulating optical angular momentum flux and polarization rotation," Scientific Reports, Vol. 5, 10628, 2015.
doi:10.1038/srep10628        Google Scholar

3. Waller, E. H. and G. Freymann, "Independent spatial intensity, phase and polarization distribution," Optics Express, Vol. 21, 28167-28174, 2013.
doi:10.1364/OE.21.028167        Google Scholar

4. Chen, R. P., K. H. Chew, B. Gu, and G. Zhou, "Effect of a spiral phase on a vector beam with hybrid polarization states," Journal of Optics, Vol. 17, 065605, 2015.
doi:10.1088/2040-8978/17/6/065605        Google Scholar

5. Bomzon, Z., V. Kleiner, and E. Hasman, "Computer-generated space-variant polarization elements with subwavelength metal stripes," Optics Letters, Vol. 26, 33-35, 2001.
doi:10.1364/OL.26.000033        Google Scholar

6. Chen, R., K. Agarwal, J. R. Colin, Sheppard, and X. D. Chen, "Imaging using cylindrical vector beams in a high numerical-aperture microscopy system," Optics Letters, Vol. 38, 3111-3114, 2013.
doi:10.1364/OL.38.003111        Google Scholar

7. Visser, J., E. R. Elier, and G. Nierhuis, "Polarization entanglement in a crystal with three fold symmetry," Physical Review A, Vol. 66, 033814, 2002.
doi:10.1103/PhysRevA.66.033814        Google Scholar

8. Dorn, R., S. Quabis, and G. Leuchs, "Sharper focus for a radially polarized beam," Physical Review Letters, Vol. 91, 233901, 2003.
doi:10.1103/PhysRevLett.91.233901        Google Scholar

9. Tian, B. and J. Pu, "Tight focusing of a double-ring-shaped azimuthally polarized beam," Optics Letters, Vol. 36, 2014-2016, 2011.
doi:10.1364/OL.36.002014        Google Scholar

10. Gu, B., Y. Pan, L. J. Wu, and Y. P. Cui, "Tight focusing properties of spatial-variant linearly-polarized vector beams," Journal of Optics, Vol. 43, 18-27, 2013.
doi:10.1007/s12596-013-0154-9        Google Scholar

11. Hu, K. L., Z. Y. Chen, and J. X. Pu, "Tight focusing properties of hybridly polarized vector beams," Journal of Optical Society of America A, Vol. 29, 1099-1101, 2012.
doi:10.1364/JOSAA.29.001099        Google Scholar

12. Deng, D., Q. Guo, L. Wu, and X. Yang, "Propagation of radially polarized elegant light beams," Journal of Optical Society of America B, Vol. 24, 636-643, 2007.
doi:10.1364/JOSAB.24.000636        Google Scholar

13. Wang, X. L., J. P. Ding, W. J. Ni, C. S. Guo, and H. T. Wang, "Generation of arbitrary vector beams with a spatial light modulator and a common path interferometric arrangement," Optics Letters, Vol. 32, 3549-3551, 2007.
doi:10.1364/OL.32.003549        Google Scholar

14. Wang, X. L., Y. N. Li, J. Chen, C. S. Guo, J. P. Ding, and H. T. Wang, "A new type of vector fields with hybrid states of polarization," Optics Express, Vol. 18, 10786-10795, 2010.
doi:10.1364/OE.18.010786        Google Scholar

15. Chen, H., J. J. Hao, B. F. Zhang, J. Xu, J. P. Ding, and H. T. Wang, "Generation of vector beam with space-variant distribution of both polarization and phase," Optics Letters, Vol. 36, 3179-3181, 2011.
doi:10.1364/OL.36.003179        Google Scholar

16. Han, W., Y. F. Yang, W. Cheng, and Q. W. Zhan, "Vectorial optical field generator for the creation of arbitrarily complex fields," Optics Express, Vol. 21, 20692-20793, 2013.
doi:10.1364/OE.21.020692        Google Scholar

17. Lerman, G. M., L. Stern, and U. Levy, "Generation and tight focusing of hybridly polarized vector beams," Optics Express, Vol. 18, 27650-27657, 2010.
doi:10.1364/OE.18.027650        Google Scholar

18. Li, S. M., Y. Li, X. L. Wang, L. J. Kong, K. Lou, C. Tu, Y. Tian, and H. T. Wang, "Taming the collapse of optical fields," Scientific Reports, Vol. 2, 1007, 2012.
doi:10.1038/srep01007        Google Scholar

19. Chen, R. P., L. X. Zhong, K. H. Chew, T. Y. Zhao, and X. Zhang, "Collapse dynamics of a vector vortex optical field with inhomogeneous states of polarization," Laser Physics, Vol. 25, 075401, 2015.
doi:10.1088/1054-660X/25/7/075401        Google Scholar

20. Chen, R. P. and G. Li, "The evanescent wavefield part of a cylindrical vector beam," Optics Express, Vol. 21, 22246-22254, 2013.
doi:10.1364/OE.21.022246        Google Scholar

21. Setala, T., J. Tervo, and A. T. Frberg, "Stokes parameters and polarization contrasts in Young's interference experiment," Optics Letters, Vol. 31, 208-210, 2006.
doi:10.1364/OL.31.000208        Google Scholar

22. Li, Y. N., X. L. Wang, H. Zhao, L. J. Kong, K. Lou, B. Gu, C. G. Tu, and H. T. Wang, "Young's two-slit interference of vector light fields," Optics Letters, Vol. 37, 1790-1792, 2012.
doi:10.1364/OL.37.001790        Google Scholar

23. Wootters, W. W. and W. H. Zurek, "Complementarity in the double-slit experiment: Quantum nonseparability and quantitative statement of Bohr's principle," Phys. Rev. D, Vol. 19, 473-484, 1979.
doi:10.1103/PhysRevD.19.473        Google Scholar

24. Svensson, B. E. Y., "Pedagogical review of quantum measurement theory with an emphasis on weak measurements," Quanta, Vol. 2, 18-49, Quanta.
doi:10.12743/quanta.v2i1.12        Google Scholar

25. Cai, F., J. Yu, and S. He, "Vectorial electric field Monte Caro simulations for focused laser beams (800 nm–2220 nm) in a biological sample," Progress In Electromagnetics Research, Vol. 142, 667-681, 2013.
doi:10.2528/PIER13080705        Google Scholar

26. Imran, A. and Q. A. Naqvi, "Diffraction of plane wave by two parallel slits in an infinitely long impedance plane using the method of Kobayashi potential," Progress In Electromagnetics Research, Vol. 63, 107-123, 2006.
doi:10.2528/PIER06042601        Google Scholar

27. Born, M. and E. Wolf, Principles of Optics, 7th Ed., Cambridge U. Press, 1999.
doi:10.1017/CBO9781139644181