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Chin. Opt. Lett.
 Home  List of Issues    Issue 06 , Vol. 16 , 2018    10.3788/COL201816.061602

Goos–H?nchen shifts in reflective phase-gradient-produced metasurfaces
Junxian Shi, Jingshan Qi, Linyong Qian, Caiqin Han, and Changchun Yan
Jiangsu Key Laboratory of Advanced Laser Materials and Devices, School of Physics and Electronic Engineering, [Jiangsu Normal University], Xuzhou 221116, China

Chin. Opt. Lett., 2018, 16(06): pp.061602

Keywords(OCIS Code): 160.3918  260.6970  260.5430  

We studied Goos–H?nchen (GH) shifts on a reflective phase-gradient-produced metasurface. Their analytical solutions were achieved for both TE and TM polarizations utilizing the generalized Snell’s law. The calculated results show that the GH shifts are evidently affected by phase gradients and incident angles, which means that a certain range of GH shifts can be realized as long as an incident angle, phase gradient, and frequency are properly chosen. This offers an effective method for the control of GH shifts.

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Posted online:2018/5/30

Get Citation: Junxian Shi, Jingshan Qi, Linyong Qian, Caiqin Han, and Changchun Yan, "Goos–H?nchen shifts in reflective phase-gradient-produced metasurfaces," Chin. Opt. Lett. 16(06), 061602(2018)

Note: This work was supported by the National Natural Science Foundation of China (Nos. 11674132, 61771227, 61575087, and 11704162), the Natural Science Foundation (No. BK20151164), and the Priority Academic Program Development of Jiangsu Higher Education Institutions (PAPD) of Jiangsu Province.


1. F. Goos, and H. H?nchen, Ann. Phys. 436, 333 (1947).

2. F. Goos, and H. H?nchen, Ann. Phys. 440, 251 (1949).

3. H. Kogelnik, and H. P. Weber, J. Opt. Soc. Am. 64, 174 (1974).

4. D. K. Qing, and G. Chen, Opt. Lett. 29, 872 (2004).

5. X. L. Hu, Y. D. Huang, W. Zhang, D. K. Qing, and J. D. Peng, Opt. Lett. 30, 899 (2005).

6. P. R. Berman, Phys. Rev. E 66, 067603 (2002).

7. H. C. Zhou, C. F. Li, and X. Chen, Chin. Opt. Lett. 6, 446 (2008).

8. X. Yin, L. Hesselink, Z. Liu, N. Fang, and X. Zhang, Appl. Phys. Lett. 85, 372 (2004).

9. J. Soni, S. Mansha, S. D. Gupta, A. Banerjee, and N. Ghosh, Opt. Lett. 39, 4100 (2014).

10. L. Lambrechts, V. Ginis, J. Danckaert, and P. Tassin, Phys. Rev. B 95, 035427 (2017).

11. N. F. Yu, P. Genevet, M. A. Kats, F. Aieta, J. P. Tetienne, F. Capasso, and Z. Gaburro, Science 334, 333 (2011).

12. L. L. Huang, X. Z. Chen, H. Mühlenbernd, H. Zhang, S. M. Chen, B. F. Bai, Q. F. Tan, G. F. Jin, K. W. Cheah, C. W. Qiu, J. Li, T. Zentgraf, and S. Zhang, Nat. Commun. 4, 2808 (2013).

13. D. D. Wen, F. Y. Yue, G. X. Li, G. X. Zheng, K. L. Chan, S. M. Chen, M. Chen, K. F. Li, P. W. H. Wong, K. W. Cheah, E. Y. B. Pun, S. Zhang, and X. Z. Chen, Nat. Commun. 6, 8241 (2015).

14. J. Lin, J. P. Balthasar Mueller, Q. Wang, G. H. Yuan, N. Antoniou, X. C. Yuan, and F. Capasso, Science 340, 331 (2013).

15. P. Biagioni, M. Savoini, J. S. Huang, L. Duò, M. Finazzi, and B. Hecht, Phys. Rev. B 80, 153409 (2009).

16. M. Khorasaninejad, W. T. Chen, R. C. Devlin, J. Oh, A. Y. Zhu, and F. Capasso, Science 352, 1190 (2016).

17. N. F. Yu, and F. Capasso, Nat. Mater. 13, 139 (2014).

18. Q. Sun, S. M. Wang, H. Liu, and S. N. Zhu, Chin. Opt. Lett. 14, 051101 (2016).

19. V. J. Yallapragada, A. P. Ravishankar, G. L. Mulay, G. S. Agarwal, and V. G. Achanta, Sci. Rep. 6, 1 (2016).

20. A. Farmani, M. Miri, and M. H. Sheikhi, Opt. Commun. 391, 68 (2017).

21. A. Farmani, M. Miri, and M. H. Sheikhi, J. Opt. Soc. Am. B 34, 1097 (2017).

22. S. Sun, K. Yang, C. Wang, T. Juan, W. T. Chen, C. Y. Liao, Q. He, S. Xiao, W. Kung, G. Guo, L. Zhou, and D. P. Tsai, Nano.?Lett. 12, 6223 (2012).

23. E. D. Palik, Handbook of Optical Constants of Solids (Academic Press, 1985).

24. A. Puri, and J. L. Birman, J. Opt. Soc. Am. A 3, 543 (1986).

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