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2008-04-09
Lateral Displacement of an Electromagnetic Beam Reflected from a Grounded Indefinite Uniaxial Slab
By
Progress In Electromagnetics Research, Vol. 82, 351-366, 2008
Abstract
A theoretical analysis of the lateral shift for an electromagnetic beam reflected from an uniaxial anisotropic slab coated with perfect conductor is presented. The analytic expression for the lateral shift is derived by using the stationary-phase approach, and the conditions for negative and positive lateral shifts are discussed. It is shown that the lateral shift depends not only on the slabthic kness and the incident angle, but also on the constitutive parameters of the uniaxial medium. Enhancement and suppression of lateral shift are observed and are attributed to the interference between the reflected waves from the two interfaces of the slab. By tuning the thickness of the slaband material parameters, large negative and positive shifts can be attained. In particular, when total reflection occurs at the upper interface, the lateral shift will saturate with increasing slabthic kness.
Citation
Fanmin Kong, Bae-Ian Wu, Hui Huang, Jiangtao Huangfu, Sheng Xi, and Jin Au Kong, "Lateral Displacement of an Electromagnetic Beam Reflected from a Grounded Indefinite Uniaxial Slab," Progress In Electromagnetics Research, Vol. 82, 351-366, 2008.
doi:10.2528/PIER08032102
References

1. Goos, F. and H. Hanchen, "Ein neuer und fundamentaler versuch zur totalreflexion," Ann. der Phys., Vol. 436, No. 7, 333-346, 1947.
doi:10.1002/andp.19474360704

2. Goos, F. and H. Hanchen, "Neumessung des strahlversetzungseffektes bei totalreflexion," Ann. der Phys., Vol. 440, No. 3, 251-–252, 1949.
doi:10.1002/andp.19494400312

3. Renard, R. H., "Total reflection: A new evaluation of the Goos-Hanchen shift," J. Opt. Soc. Am., Vol. 54, No. 10, 1190-1197, 1964.

4. Horowitz, B. R. and T. Tamir, "Lateral displacement of a light beam at a dielectric interface," J. Opt. Soc. Am., Vol. 61, No. 5, 586-594, 1971.

5. Lai, H. M., F. C. Cheng, and W. K. Tang, "Goos-Hanchen effect around and off the critical angle," J. Opt. Soc. Am. A, Vol. 3, No. 4, 550-557, 1986.

6. Imbert, C., "Calculation and experimental proof of the transverse shift Induced by total internal reflection of a circularly polarized light beam ," Phys. Rev. D, Vol. 5, No. 4, 787-796, 1972.
doi:10.1103/PhysRevD.5.787

7. Rhodes, D. J. and C. K. Carniglia, "Measurement of the Goos-Hanchen shift at grazing incidence using Lloyd's mirror," J. Opt. Soc. Am., Vol. 67, 679-683, 1977.

8. Bretenaker, F., A. Le Floch, and L. Dutriaux, "Direct measurement of the optical Goos-Hanchen effect in lasers," Phys. Rev. Lett., Vol. 68, No. 7, 931-933, 1992.
doi:10.1103/PhysRevLett.68.931

9. Pfleghaar, E., A. Marseille, and A. Weis, "Quantitative investigation of the effect of resonant absorbers on the Goos-Hanchen shift," Phys. Rev. Lett., Vol. 70, No. 15, 2281-2284, 1993.
doi:10.1103/PhysRevLett.70.2281

10. Wild, W. J. and C. L. Giles, "Goos-Hanchen shifts from absorbing media," Phys. Rev. A, Vol. 25, No. 4, 2099-2101, 1982.
doi:10.1103/PhysRevA.25.2099

11. Haibel, A., G. Nimtz, and A. A. Stahlhofen, "Frustrated total reflection: The double-prism revisited," Phy. Rev. E, Vol. 63, No. 4, 47601, 2001.
doi:10.1103/PhysRevE.63.047601

12. Tamir, T., "Nonspecular phenomena in beam fields reflected by multilayered media," J. Opt. Soc. Am. A, Vol. 3, No. 4, 558-565, 1986.

13. Balcou, P. and L. Dutriaux, "Dual optical tunneling times in frustrated total internal reflection," Phys. Rev. Lett., Vol. 78, No. 5, 851-854, 1997.
doi:10.1103/PhysRevLett.78.851

14. Wang, L. G., H. Chen, N. H. Liu, et al. "Negative and positive lateral shift of a light beam reflected from a grounded slab," Opt. Lett., Vol. 31, No. 8, 1124-1126, 2006.
doi:10.1364/OL.31.001124

15. Li, C. F., "Negative lateral shift of a light beam transmitted through a dielectric slaband interaction of boundary effects," Phy. Rev. Lett., Vol. 91, No. 13, 133903, 2003.
doi:10.1103/PhysRevLett.91.133903

16. Yan, Y., X. Chen, and C. F. Li, "Large and negative lateral displacement in an active dielectric slabconfiguration," Phys. Lett. A, Vol. 361, No. 1-2, 178-181, 2007.
doi:10.1016/j.physleta.2006.09.023

17. Huang, H., Y. Fan, F. M. Kong, et al. "Influence of external magnetic field on a symmetrical gyrotropic slabin terms of Goos-Hanchen shifts," Progress In Electromagnetics Research, Vol. 82, 137-150, 2008.

18. Merano, M., A. Aiello, G. W.'t Hooft, et al. "Observation of Goos-Hanchen shifts in metallic reflection," Am. J. Phys., Vol. 40, 1847-1851, 1972.

19. Leung, P. T., C. W. Chen, and H. P. Chiang, "Large negative Goos-Hanchen shift at metal surfaces," Opt. Comm., Vol. 276, No. 2, 206-208, 2007.
doi:10.1016/j.optcom.2007.04.019

20. Merano, M., A. Aiello, G. W.'t Hooft, et al. "Observation of Goos-Hanchen shifts in metallic reflection," Opt. Exp., Vol. 15, No. 24, 15928-15934, 2007.
doi:10.1364/OE.15.015928

21. Hoppe, D. J. and Y. Rahmat-Samii, "Gaussian beam reflection at a dielectric-chiral interface," Journal of Electromagnetic Waves and Applications, Vol. 6, 603-624, 1992.
doi:10.1163/156939392X00878

22. Tamir, T. and H. L. Bertoni, "Lateral displacement of optical beams at multilayered and periodic structures," J. Opt. Soc. Am, Vol. 61, 1397-1413, 1971.

23. Bonnet, C., D. Chauvat, O. Emile, et al. "Measurement of positive and negative Goos-Hanchen effects for metallic gratings near Wood anomalies," Opt. Lett., Vol. 26, No. 10, 666-668, 2001.
doi:10.1364/OL.26.000666

24. Felbacq, D., A. Moreau, and R. Smai, "Goos-Hanchen effect in the gaps of photonic crystals," Opt. Lett., Vol. 28, No. 18, 1633-1635, 2003.
doi:10.1364/OL.28.001633

25. Smith, D. R. and N. Kroll, "Negative refractiveindex in left-handed materials," Phys. Rev. Lett., Vol. 85, No. 14, 2933-2936, 2000.
doi:10.1103/PhysRevLett.85.2933

26. Chen, L., W. Ding, X.-J. Dang, et al. "Counter-propagating energy-flows in nonlinear left-handed metamaterials," Progress In Electromagnetics Research, Vol. 70, 257-267, 2007.
doi:10.2528/PIER07012502

27. Chen, H., B. I. Wu, and J. A. Kong, "Review of electromagnetic theory in left-handed materials," Journal of Electromagnetic Waves and Applications, Vol. 20, 2137-2151, 2006.
doi:10.1163/156939306779322585

28. Lu, J., B. I. Wu, J. A. Kong, et al. "Guided modes with a linearly varying transverse field inside a left-handed dielectric slab," Journal of Electromagnetic Waves and Applications, Vol. 20, 689-697, 2006.
doi:10.1163/156939306776137728

29. Ran, L., J. HuangFu, H. Chen, et al. "Experimental study on several left-handed matamaterials," Progress In Electromagnetics Research, Vol. 51, 249-279, 2005.
doi:10.2528/PIER04040502

30. Yao, M., C.-H. Liang, X.-W. Dai, et al. "A new structure for localizing electromagnetic energy using two semi-Infinite left-handed-medium slabs," Progress In Electromagnetics Research, Vol. 75, 295-302, 2007.
doi:10.2528/PIER07053101

31. Ding, W., L. Chen, and C.-H. Liang, "Characteristics of electromagnetic wave propagation in biaxial anisotropic left-handed materials," Progress In Electromagnetics Research, Vol. 70, 37-52, 2007.
doi:10.2528/PIER07011001

32. Wongkasem, N., A. Akyurtlu, J. Li, et al. "Novel broadband Terahertz negative refractive index metamaterials: Analysis and experiment," Progress In Electromagnetics Research, Vol. 64, 205-218, 2006.
doi:10.2528/PIER06071104

33. Chen, X. and C. F. Li, "Lateral shift of the transmitted light beam through a left-handed slab," Phys. Rev. E, Vol. 69, No. 6, 66617, 2004.
doi:10.1103/PhysRevE.69.066617

34. Chen, J. J., T. M. Grzegorczyk, B. I. Wu, et al. "Role of evanescent waves in the positive and negative Goos-Hanchen shifts with left-handed material slabs," J. Appl. Phys., Vol. 98, 094905, 2005.
doi:10.1063/1.2128698

35. Kong, J. A., B.-I. Wu, and Y. Zhang, "Lateral displacement of a Gaussian beam reflected from a grounded slab with negative permittivity and permeability ," Appl. Phys. Lett., Vol. 80, No. 12, 2084, 2002.
doi:10.1063/1.1462865

36. Berman, P. R., "Goos-Hanchen shift in negatively refractive media," Phys. Rev. E, Vol. 66, No. 6, 67603, 2002.
doi:10.1103/PhysRevE.66.067603

37. Grzegorczyk, T. M., X. Chen, J. Pacheco, et al. "Reflection coefficients and Goos-Hanchen shifts in anisotropic and bianisotropic left-handed metamaterials," Progress In Electromagnetics Research, Vol. 51, 83, 2005.
doi:10.2528/PIER04040901

38. Xiang, Y., X. Dai, and S. Wen, "Negative and positive Goos-Hanchen shifts of a light beam transmitted from an indefinite medium slab ," Appl. Phys. A, Vol. 87, 285-290, 2007.
doi:10.1007/s00339-006-3826-3

39. Kong, J. A., Electromagnetic Wave Theory, EMW Publishing, 2005.

40. Artmann, K., "Berechnung der seitenversetzung des totalreflektierten strahles," Ann. der Phys., Vol. 437, No. 1, 87-102, 1948.
doi:10.1002/andp.19484370108

41. Smith, D. R. and D. Schurig, "Electromagnetic wave propagation in media with indefinite permittivity and permeability tensors," Phys. Rev. Lett., Vol. 90, No. 7, 77405, 2003.
doi:10.1103/PhysRevLett.90.077405

42. Ding, W., L. Chen, and C.-H. Liang, "Lateral displacement of an electromagnetic beam reflected from a grounded indefinite uniaxial slab," Progress In Electromagnetics Research B, Vol. 2, 151-164, 2008.
doi:10.2528/PIERB07111403