PIER
 
Progress In Electromagnetics Research
ISSN: 1070-4698, E-ISSN: 1559-8985
Home | Search | Notification | Authors | Submission | PIERS Home | EM Academy
Home > Vol. 90 > pp. 255-268

GOOS-HÄNCHEN SHIFT AT THE SURFACE OF CHIRAL NEGATIVE REFRACTIVE MEDIA

By W. Dong, L. Gao, and C.-W. Qiu

Full Article PDF (281 KB)

Abstract:
The Goos-Hachen (GH) shift at the surface of chiral negative refractive media is analyzed theoretically. GH shifts are observed for both perpendicular and parallel components of the reflected field near the respective critical angles. It is found that positive and negative shifts can be attained when the incident angle is larger than the first critical angle, whereas if the angle of incidence exceeds the second critical angle, only positive shifts can be observed. In addition, a Gaussian beam is further adopted to illustrate the effect of the GH shifts.

Citation:
W. Dong, L. Gao, and C.-W. Qiu, "Goos-hÄnchen shift at the surface of chiral negative refractive media," Progress In Electromagnetics Research, Vol. 90, 255-268, 2009.
doi:10.2528/PIER08122002
http://www.jpier.org/pier/pier.php?paper=08122002

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

3. 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

4. Emile, O., T. Galstyan, A. Le Floch, and F. Bretenaker, "Measurement of the nonlinear Goos-Hanchen effect for Gaussian optical beams," Phys. Rev. Lett., Vol. 75, No. 8, 1511-1513, 1995.
doi:10.1103/PhysRevLett.75.1511

5. Wang, Y., Z. Q. Cao, H. G. Li, J. Hao, T. Y. Yu, and Q. S. Shen, "Electric control of spatial beam position based on Goos-Hanchen effect," Appl. Phys. Lett., Vol. 93, No. 9, 091103, 2008.
doi:10.1063/1.2977873

6. Hashimoto, T. and T. Yoshino, "Optical heterodyne sensor using the Goos-Hanchen shift," Opt. Lett., Vol. 14, No. 17, 913-915, 1989.
doi:10.1364/OL.14.000913

7. Kogelnik, H., H. P. Weber, and T. Yoshino, "Rays, stored energy, and power flow in dielectric waveguides," J. Opt. Soc. Am., Vol. 64, 174-185, 1974.
doi:10.1364/JOSA.64.000174

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

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. Jost, B. M., A.-A. R. Al-Rashed, and B. E. A. Saleh, "Observation of the Goos-Hanchen effect in a phase-conjugate mirror," Phys. Rev. Lett., Vol. 81, No. 11, 2233-2235, 1998.
doi:10.1103/PhysRevLett.81.2233

11. 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.
doi:10.1364/JOSA.61.001397

12. 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

13. 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

14. Lakhtakia, A., "On planewave remittances and Goos-Hanchen shifts of planar slabs with negative real permittivity and permeability," Electromagnetics, Vol. 23, No. 1, 71-75, 2003.
doi:10.1080/02726340390159432

15. Qing, D. K. and G. Chen, "Goos-Hanchen shifts at the interfaces between left-and right-handed media," Opt. Lett., Vol. 29, No. 8, 872-874, 2004.
doi:10.1364/OL.29.000872

16. Hu, X. L., Y. D. Huang, W. Zhang, D. K. Qing, and J. D. Peng, "Opposite Goos-Hanchen shifts for transverse-electric and transverse-magnetic beams at the interface associated with single-negative materials," Opt. Lett., Vol. 30, No. 8, 899-901, 2005.
doi:10.1364/OL.30.000899

17. Shadrivov, I. V., A. A. Zharov, and Y. S. Kivshar, "Giant Goos-Hanchen effect at the reflection from left-handed metamaterials," Appl. Phys. Lett., Vol. 83, No. 13, 2713-2715, 2003.
doi:10.1063/1.1615678

18. Kong, J. A., B. L. 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, 2084-2086, 2002.
doi:10.1063/1.1462865

19. Grzegorczyk, T. M., X. Chen, J. Pacheco Jr., J. Chen, B. I. Wu, and J. A. Kong, "Reflection coefficients and Goos-Hanchen shifts in anisotropic and bianisotropic left-handed metamaterials," Progress In Electromagnetics Research, PIER 51, 83-113, 2005.

20. Kong, J. A., B. L. Wu, and H. Huang, "Lateral displacement of an electromagnetic beam reflected from a grounded indefinite uniaxial slab," Progress In Electromagnetics Research, PIER 82, 351-366, 2008.

21. Qiu, C. W., H. Y. Yao, L. W. Li, S. Zouhdi, and T. S. Yeo, "Routes to left-handed materials by magnetoelectric couplings," Phys. Rev. B, Vol. 75, No. 24, 245214, 2007.
doi:10.1103/PhysRevB.75.245214

22. Dong, W. T. and L. Gao, "Negative refraction in chiral composite materials," J. Appl. Phys., Vol. 104, No. 2, 023537, 2008.
doi:10.1063/1.2963696

23. Jin, Y. and S. He, "Focusing by a slab of chiral medium," Opt. Express, Vol. 13, No. 13, 4974-4979, 2005.
doi:10.1364/OPEX.13.004974

24. Lindman, K. F., "Uber eine durch ein isotropes System von Spiralformigen Resonatoren erzeugte Rotationspolarisation der elektromagnetischen Wellen," Ann. Phys. (Leipzig), Vol. 63, 621-644, 1920.

25. Pendry, D. R., "A chiral route to negative refraction," Science, Vol. 306, No. 5700, 1353-1355, 2004.
doi:10.1126/science.1104467

26. Wongkasem, N., A. Akyurtlu, K. A. Marx, Q. Dong, J. Li, and W. D. Goodhue, "Development of chiral negative refractive index metamaterials for the terahertz frequency regime," IEEE Trans. antennas and propag., Vol. 55, No. 11, 3052-3062, 2007.
doi:10.1109/TAP.2007.909419

27., Tretyakov, S., I. Nefedov, A. Sihvola, S. Maslovski, and C. Simovski, "Waves and energy in chiral nihility," Journal of Electromagnetic Waves and Applications, Vol. 17, No. 5, 695-706, 2003.
doi:10.1163/156939303322226356

28. Lindell, I. V., A. H. Sihvola, S. A. Tretyakov, and A. J. Viitanen, Electromagnetic Waves in Chiral and Bi-isotropic Media, Artech House, Boston, 1994.

29. Bassiri, S., C. H. Papas, and N. Engheta, "Electromagnetic wave propagation through a dielectric-chiral interface and through a chiral slab," J. Opt. Soc. Am. A, Vol. 5, No. 9, 1450-1459, 1988.
doi:10.1364/JOSAA.5.001450

30. Liu, B. and J. F. Dong, "Reflection and transmission at the surface of a chiral negative refractive medium," Optoelectron. Lett., Vol. 3, 0462, 2007.
doi:10.1007/s11801-007-7083-2

31. 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.
doi:10.1364/JOSAA.3.000550

32. Hoppe, D. J. and Y. Rahmat-Samii, "Gaussian beam reflection at a dielectric-chiral interface," Journal of Electromagnetic Waves and Applications, Vol. 6, No. 5/6, 603-624, 1992.
doi:10.1163/156939392X00878

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, 066617, 2004.
doi:10.1103/PhysRevE.69.066617

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


© Copyright 2014 EMW Publishing. All Rights Reserved