volume | PIER Journals

Abstract

The Goos-Hanchen shift on the surface when an optical beam is obliquely incident from one isotropic right-handed material (RHM) into another biaxial anisotropic left-handed material (BALHM) is numerically studied with the finite difference time domain (FDTD) method based on the Drude dispersive models. The analytical expression of the Goos-Hanchen shift is firstly presented, moreo ver the condition for the existence and the sign of the Goos-Hanchen shift are also discussed. According to the theoretical analysis,sev eral sets of constitutive parameters of BA-LHM are considered. The simulated results are in agreement with theoretical results, which validate the theoretical analysis.

1. Veselago, V. G., "The electrodynamics of substances with simultaneously negative values of ε and μ," Sov. Phys. Usp., Vol. 10, 509-515, 1968.
doi:10.1070/PU1968v010n04ABEH003699 Google Scholar

2. Pendry, J. P., A. J. Holden, D. J. Robbins, and W. J. Stewart, "Low frequency plasmons in thin-wire structures," J. Phys. Condens. Matter., Vol. 10, 4785-4809, 1998.
doi:10.1088/0953-8984/10/22/007 Google Scholar

3. Pendry, J. P., A. J. Holden, D. J. Robbins, and W. J. Stewart, "Magnetism from conductors and enhanced nonlinear phenomena," IEEE Trans. Microwave Theory Tech., Vol. 47, 2075-2084, 1999.
doi:10.1109/22.798002 Google Scholar

4. Smith, D. R., W. J. Padilla, D. C. Vier, S. C. Nemat-Nassser, and S. Schultz, "Composite medium with simultaneously negative permeability and permittivity," Phys. Rev. Lett., Vol. 84, 4184-4187, 2000.
doi:10.1103/PhysRevLett.84.4184 Google Scholar

5. Shelby, R. A., D. R. Smith, and S. Schultz, "Experimental verification of a negative index of refraction," Science, Vol. 292, 77-79, 2001.
doi:10.1126/science.1058847 Google Scholar

6. Berman, P. R., "Goos-Hanchen shift in negatively refractive media," Phys. Rev. E, Vol. 66, 067603, 2002.
doi:10.1103/PhysRevE.66.067603 Google Scholar

7. Lakhtakia, A., "On planewave remittances and Goos-Hanchen shifts of planar slabs with negative real permittivity and permeability," Electromagnetics, Vol. 23, 71-76, 2003.
doi:10.1080/02726340390159432 Google Scholar

8. Lakhtakia, A., "Positive and negative Goos-Hanchen shifts and negative phase-velocity mediums (alias left-handed materials)," Int. J. Electron. Commun., Vol. 58, 229-231, 2004.
doi:10.1078/1434-8411-54100235 Google Scholar

9. Qing, D. K. and G. Chen, "Goos-Hanchen shifts at the interfaces between left- and right-handed media," Opt. Lett., Vol. 29, 872-874, 2004.
doi:10.1364/OL.29.000872 Google Scholar

10. 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, 133903, 2003.
doi:10.1103/PhysRevLett.91.133903 Google Scholar

11. 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, 2713-2715, 2003.
doi:10.1063/1.1615678 Google Scholar

12. Shadrivov, I. V., R. W. Ziolkowski, A. A. Zharov, and Y. S. Kivshar, "Excitation of guided waves in layered structures with negative refraction," Opt. Express, Vol. 13, 481-492, 2005.
doi:10.1364/OPEX.13.000481 Google Scholar

13. Wang, L. G. and S. Y. Zhu, "Large negative lateral shifts from the Kretschmann-Raether configuration with left-handed materials," Appl. Phys. Lett., Vol. 87, 221102, 2005.
doi:10.1063/1.2136225 Google Scholar

14. Hu, L. B. and S. T. Chui, "Characteristics of electromagnetic wave propagation in uniaxially anisotropic left-handed materials," Phys. Rev. B, Vol. 66, 085108: 1-7, 2002. Google Scholar

15. Ziolkowski, R. W. and E. Heyman, "Wave propagation in media having negative permittivity and permeability," Phys. Rev. E, Vol. 64, 056625, 2001.
doi:10.1103/PhysRevE.64.056625 Google Scholar

16. Ziolkowski, R. W., "Pulsed and CW Gaussian beam interactions with double negative metamaterial slabs," Opt. Express, Vol. 11, 662-681, 2003. Google Scholar

17. Artmann, K., "Berechnung der Seitenversetzung des totalreflektierten Stranles," Ann. Physik, Vol. 2, 87-102, 1948.
doi:10.1002/andp.19484370108 Google Scholar

18. Cummer, S. A., "Perfectly matched layer behavior in negative refractive index materials," IEEE Antennas and Wireless Propagation Letters, Vol. 3, 2004.
doi:10.1109/LAWP.2004.833710 Google Scholar

Dr. Wei Ding

Dr. Liang Chen

Professor Chang-Hong Liang