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2009-11-26
Tunable Lateral Shift through Nonlinear Composites of Nonspherical Particles
By
Progress In Electromagnetics Research, Vol. 99, 273-287, 2009
Abstract
The Goos-Hanchen (GH) shift of the reflected waves from nonlinear nanocomposites of interleaved nonspherical metal and dielectric particles are investigated both theoretically and numerically. First, based on spectral representation theory and effective medium approximation, we derive the field-dependent effective permittivity of the nonlinear composites. Then the stationary phase method is adopted to study the GH shifts from nonlinear composites. It is found that for a given volume fraction, there exist two critical polarization factors Lc1 and Lc2, and bistable GH shifts appear only when L < Lc1 or L < Lc2. Moreover, both giant negative and positive GH shifts accompanied with large reflectivity are found, hence they can be easily observed in experiments. The reversal of the GH shift may be controlled by adjusting both the incident angle and the applied field. Numerical simulations for Gaussian-type incident beam are performed, and good agreement between simulated data and theoretical ones is found especially for large waist width.
Citation
Dongliang Gao Lei Gao , "Tunable Lateral Shift through Nonlinear Composites of Nonspherical Particles," Progress In Electromagnetics Research, Vol. 99, 273-287, 2009.
doi:10.2528/PIER09102404
http://www.jpier.org/PIER/pier.php?paper=09102404
References

1. Goos, F. and H. Hanchen, "Ein neuer und fundamentaler versuch zur totalreflexion," Ann. Phys., Vol. 436, 333-346, 1947.
doi:10.1002/andp.19474360704

2. Goos, F. and H. Hanchen, "Neumessung des strahlversetzungseffektes bei totalreflexion," Ann. Phys., Vol. 440, 251-252, 1949.
doi:10.1002/andp.19494400312

3. Sakata, T., H. Togo, and F. Shimokawa, "Reflection-type 2 x 2 optical waveguide switch using the Goos-Hanchen shift effect," Appl. Phys. Lett., Vol. 76, 2841-2843, 2000.
doi:10.1063/1.126491

4. Chen, C. W., W. C. Lin, L. S. Liao, Z. H. Lin, H. P. Chiang, P. T. Leung, E. Sijercic, and W. S. Tse, "Optical temperature sensing based on the Goos-Hanchen effect," Appl. Opt., Vol. 46, 5347-5351, 2007.
doi:10.1364/AO.46.005347

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

6. Bretenaker, F., A. L. Floch, and L. Dutriaux, "Direct measurement of the optical Goos-Hanchen effect in lasers," Phys. Rev. Lett., Vol. 68, 931-933, 1992.
doi:10.1103/PhysRevLett.68.931

7. 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, 1511-1513, 1995.
doi:10.1103/PhysRevLett.75.1511

8. Wild, W. J. and C. L. Giles, "Goos-Hanchen shifts from absorbing media," Phys. Rev. A, Vol. 25, 2099-2101, 1982.
doi:10.1103/PhysRevA.25.2099

9. Lai, H. M. and S. W. Chan, "Large and negative Goos-Hanchen shift near the brewster dip on reflection from weakly absorbing media," Opt. Lett., Vol. 27, 680-682, 2002.
doi:10.1364/OL.27.000680

10. Lai, H. M., S. W. Chan, and W. H. Wong, "Nonspecular effects on reflection from absorbing media at and around Brewster's dip," J. Opt. Soc. Am. A, Vol. 23, 3208-3216, 2006.
doi:10.1364/JOSAA.23.003208

11. Wang, L. G. and S. Y. Zhu, "Giant lateral shift of a light beam at the defect mode in one-dimensional photonic crystals," Opt. Lett., Vol. 31, 101-103, 2006.
doi:10.1364/OL.31.000101

12. 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

13. Leung, P. T., C. W. Chen, and H. P. Chiang, "Large negative Goos-Hanchen shift at metal surfaces," Opt. Commun., Vol. 276, 206-208, 2007.
doi:10.1016/j.optcom.2007.04.019

14. Merano, M., A. Aiello, G. W. Hooft, M. P. Van Exter, E. R. Eliel, and J. P. Woerdman, "Observation of Goos-Hanchen shifts in metallic reflection," Opt. Express, Vol. 15, 15928-15934, 2007.
doi:10.1364/OE.15.015928

15. Depine, R. A. and N. E. Bonomo, "Goos-Hanchen lateral shift for Gaussian beams reflected at achiral-chiral interfaces," Optik, Vol. 103, 37-41, 1996.

16. Wang, F. and A. Lakhtakia, "Lateral shifts of optical beams on reflection by slanted chiral sculptured thin films," Opt. Commun., Vol. 235, 107-132, 2004.
doi:10.1016/j.optcom.2004.02.050

17. Dong, W. T., L. Gao, and C. W. Qiu, "Goos-Hanchen shift at the surface of chiral negative refractive media," Progress In Electromagnetics Research, Vol. 104, 255-268, 2009.
doi:10.2528/PIER08122002

18. 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

19. Felbacq, D. and R. Smaali, "Bloch modes dressed by evanescent waves and the generalized Goos-Hanchen effect in photonic crystals," Phys. Rev. Lett., Vol. 92, 193902, 2004.
doi:10.1103/PhysRevLett.92.193902

20. Wang, L. G. and S. Y. Zhu, "Giant lateral shift of a light beam at the defect mode in one-dimensional photonic crystals," Opt. Lett., Vol. 31, 101-103, 2006.
doi:10.1364/OL.31.000101

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

22. Lakhtakia, A., "On planewave remittances and Goos-Hanchen shifts of planar slabs with negative real permittivity and permeability," Electromagnetics, Vol. 23, 71-75, 2003.
doi:10.1080/02726340390159432

23. 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

24. Lima, F., T. Dumelow, E. L. Albuquerque, and J. A. P. Da Costa, "Power flow associated with the Goos-Hanchen shift of a normally incident electromagnetic beam reflected off an antiferromagnet," Phys. Rev. B, Vol. 79, 155124, 2009.
doi:10.1103/PhysRevB.79.155124

25. Peccianti, M., A. Dyadyusha, M. Kaczmarek, and G. Assanto, "Tunable refraction and reflection of self-confined light beams," Nat. Phys., Vol. 2, 737-742, 2006.
doi:10.1038/nphys427

26. Hou, P., Y. Y. Chen, X. Chen, J. L. Shi, and Q. Wang, "Giant bistable shifts for one-dimensional nonlinear photonic crystals," Phys. Rev. A, Vol. 75, 045802, 2007.
doi:10.1103/PhysRevA.75.045802

27. Zhou, H. C., X. Chen, P. Hou, and C. F. Li, "Giant bistable lateral shift owing to surface-plasmon excitation in kretschmann configuration with a Kerr nonlinear dielectric," Opt. Lett., Vol. 33, 1249-1251, 2008.
doi:10.1364/OL.33.001249

28. Wang, L. G., M. Ikram, and M. S. Zubairy, "Control of the Goos-Hanchen shift of a light beam via a coherent driving field," Phys. Rev. A, Vol. 77, 023811, 2008.
doi:10.1103/PhysRevA.77.023811

29. 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 the Goos-Hanchen effect," Appl. Phys. Lett., Vol. 93, 091103, 2008.
doi:10.1063/1.2977873

30. Chen, X., M. Shen, Z. F. Zhang, and C. F. Li, "Tunable lateral shift and polarization beam splitting of the transmitted light beam through electro-optic crystals," J. Appl. Phys., Vol. 104, 123101, 2008.
doi:10.1063/1.3041423

31. Shi, L. H., L. Gao, S. L. He, and B. W. Li, "Superlens from metal-dielectric composites of nonspherical particles," Phys. Rev. B, Vol. 76, 045116, 2007.
doi:10.1103/PhysRevB.76.045116

32. Shi, L. H. and L. Gao, "Subwavelength imaging from a multilayered structure containing interleaved nonspherical metal-dielectric composites," Phys. Rev. B, Vol. 77, 195121, 2008.
doi:10.1103/PhysRevB.77.195121

33. Bergman, D. J., "The dielectric constant of a composite material --- A problem in classical physics," Phys. Rev. B, Vol. 43, 377-407, 1978.

34. Ma, H. R., R. F. Xiao, and P. Sheng, "Third-order optical nonlinearity enhancement through composite microstructures," J. Opt. Soc. Am. B, Vol. 15, 1022-1029, 1998.
doi:10.1364/JOSAB.15.001022

35. Gao, L., L. P. Gu, and Z. Y. Li, "Optical bistability and tristability in nonlinear metal/dielectric composite media of nonspherical particles," Phys. Rev. E, Vol. 68, 066601, 2003.
doi:10.1103/PhysRevE.68.066601

36. Bruggman, D. A. G., "Berechnung verschiedener physikalischer Konstanten von heterogenen substanzen, I. Dielektrizitatskonstanten und leitfahigkeiten der mischkorper aus isotropen substanzen," Ann. Phys., Vol. 416, 636-664, 1935.
doi:10.1002/andp.19354160705

37. Agarwal, G. S. and S. Dutta Gupta, "T-matrix approach to the nonlinear susceptibilities of heterogeneous media," Phys. Rev. A, Vol. 38, 5678-5687, 1988.
doi:10.1103/PhysRevA.38.5678

38. Day, A. R. and M. F. Thorpe, "The spectral function of random resistor networks," J. Phys.: Condens. Matter, Vol. 8, 4389-4409, 1996.
doi:10.1088/0953-8984/8/24/008

39. Russell, J. G. and W. B. Robert, "Optical properties of nanostructured optical materials," Chem. Mater., Vol. 8, 1807-1819, 1996.

40. Uchida, K., S. Kaneko, S. Omi, C. Hata, H. Tanji, Y. Asahara, and A. J. Ikushima, "Optical nonlinearities of a high concentration of small metal particles dispersed in glass: Copper and silver particles," J. Opt. Soc. Am. B, Vol. 11, 1236-2143, 1994.
doi:10.1364/JOSAB.11.001236

41. Hou, P., Y. Chen, J. Shi, M. Shen, X. Chen, and Q. Wang, "Anomalous bistable shift for a one-dimensional photonic crystal doped with a subwavelength layer and a nonlinear layer," Europhys. Lett., Vol. 81, 64003, 2008.
doi:10.1209/0295-5075/81/64003

42. Yin, X. B., L. Hesselink, Z. W. Liu, N. Fang, and X. Zhang, "Large positive and negative lateral optical beam displacements due to surface plasmon resonance," Appl. Phys. Lett., Vol. 85, 372-374, 2004.
doi:10.1063/1.1775294

43. Wang, L. G. and S. Y. Zhu, "Large positive and negative Goos-Hanchen shifts from a weakly absorbing left-handed slab," J. Appl. Phys., Vol. 98, 043522, 2005.
doi:10.1063/1.2034084