PIER
 
Progress In Electromagnetics Research
ISSN: 1070-4698, E-ISSN: 1559-8985
Home | Search | Notification | Authors | Submission | PIERS Home | EM Academy
Home > Vol. 110 > pp. 163-178

ANALYZING THE MULTILAYER OPTICAL PLANAR WAVEGUIDES WITH DOUBLE-NEGATIVE METAMATERIAL

By C.-W. Kuo, S.-Y. Chen, Y.-D. Wu, and M.-H. Chen

Full Article PDF (467 KB)

Abstract:
In this study, a general method for analyzing the multilayer optical planar waveguides with photonic metamaterial is presented. The propagation characteristics of TE waves guided by the film with both the permittivity and permeability less than zero are investigated theoretically. The formulae for the electric fields of TE modes in this structure have been proposed. Typical numerical results for dispersion characteristics are shown. The analytical and numerical results show excellent agreement.

Citation:
C.-W. Kuo, S.-Y. Chen, Y.-D. Wu, and M.-H. Chen, "Analyzing the Multilayer Optical Planar Waveguides with Double-Negative Metamaterial," Progress In Electromagnetics Research, Vol. 110, 163-178, 2010.
doi:10.2528/PIER10101405
http://www.jpier.org/PIER/pier.php?paper=10101405

References:
1. Castaldi, G., I. Gallina, V. Galdi, A. Alù, and N. Engheta, "Cloak/anti-cloak interactions," Opt. Express, Vol. 17, 3101-3114, 2009.
doi:10.1364/OE.17.003101

2. Awad, M., M. Nagel, and H. Kurz, "Negative-index metamaterial with polymer-embedded wire-pair structures at terahertz frequencies," Opt. Lett., Vol. 33, 2683-2685, 2008.
doi:10.1364/OL.33.002683

3. Duan, Z.-Y., B.-I. Wu, S. Xi, H. Chen, and M. Chen, "Research progress in reversed Cherenkov radiation in double-negative metamaterials," Progress In Electromagnetics Research, Vol. 90, 75-87, 2009.
doi:10.2528/PIER08121604

4. Xi, S., H. Chen, B.-I. Wu, and J. A. Kong, "Experimental confirmation of guidance properties using planar anisotropic left-handed metamaterial slabs based on s-ring resonators," Progress In Electromagnetics Research, Vol. 84, 279-287, 2008.
doi:10.2528/PIER08062105

5. Wu, W. Y., A. Lai, C. W. Kuo, K. M. K. H. Leong, and T. Itoh, "Efficient FDTD method for analysis of mushroom-structure based left-handed materials," IET Microwaves, Antennas & Propagation, Vol. 1, 100-107, 2007.
doi:10.1049/iet-map:20050230

6. Dolling, G., M. Wegener, C. M. Soukoulis, and S. Linden, "Negative-index metamaterial at 780nm wavelength," Opt. Lett., Vol. 32, 53-55, 2007.
doi:10.1364/OL.32.000053

7. Yu, G. X., T.-J. Cui, W. X. Jiang, X. M. Yang, Q. Cheng, and Y. Hao, "Transformation of different kinds of electromagnetic waves using metamaterials," Journal of Electromagnetic Waves and Applications, Vol. 23, No. 5-6, 583-592, 2009.
doi:10.1163/156939309788019723

8. Zhou, H., Z. Pei, S. Qu, S. Zhang, J. Wang, Q. Li, and Z. Xu, "A planar zero-index metamaterial for directive emission," Journal of Electromagnetic Waves and Applications, Vol. 23, 953-962, 2009.
doi:10.1163/156939309788355289

9. Gong, Y. and G. Wang, "Superficial tumor hyperthermia with flat left-handed metamaterial lens," Progress In Electromagnetics Research, Vol. 98, 389-405, 2009.
doi:10.2528/PIER09091401

10. Wang, M.-Y., J. Xu, J.Wu, B.Wei, H.-L. Li, T. Xu, and D.-B. Ge, "FDTD study on wave propagation in layered structures with biaxial anisotropic metamaterials," Progress In Electromagnetics Research, Vol. 81, 253-265, 2008.
doi:10.2528/PIER07122602

11. Wang, Z. L., H. T. Jiang, Y. H. Li, and H. Chen, "Enhancement of self-collimated fields in photonic crystals consisting of two kinds of single-negation materials," Opt. Express, Vol. 18, 14311-14318, 2010.
doi:10.1364/OE.18.014311

12. Mocella, V., S. Cabrini, A. S. P. Chang, P. Dardano, L. Moretti, I. Rendina, D. Olynick, B. Harteneck, and S. Dhuey, "Self-collimation of light over millimeter-scale distance in a quasi-zero-average-index metamaterial," Phys. Rev. Lett., Vol. 102, 133902, 2009.
doi:10.1103/PhysRevLett.102.133902

13. Al-Naib, I. A. I., C. Jansen, and M. Koch, "Single metal layer CPW metamaterial band-pass filter," Progress In Electromagnetics Research Letters, Vol. 17, 153-161, 2010.
doi:10.2528/PIERL10081103

14. Manapati, M. B. and R. S. Kshetrimayum, "SAR reduction in human head from mobile phone radiation using single negative metamaterials," Journal of Electromagnetic Waves and Applications, Vol. 23, No. 10, 1385-1395, 2009.
doi:10.1163/156939309789108606

15. Hwang, R.-B., H.-W. Liu, and C.-Y. Chin, "A metamaterial-based E-plane horn antenna," Progress In Electromagnetics Research, Vol. 93, 275-289, 2009.
doi:10.2528/PIER09050606

16. Huang, M. D. and S. Y. Tan, "Efficient electrically small prolate spheroidal antennas coated with a shell of double-negative metamaterials," Progress In Electromagnetics Research, Vol. 82, 241-255, 2008.
doi:10.2528/PIER08031604

17. Si, L.-M. and X. Lv, "CPW-FED multi-band omni-directional planar microstrip antenna using composite metamaterial resonators for wireless communications," Progress In Electromagnetics Research, Vol. 83, 133-146, 2008.
doi:10.2528/PIER08050404

18. 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

19. Milonni, P. W. and G. J. Maclay, "Quantized-field description of light negative-index media," Opt. Commun., Vol. 228, 161-165, 2003.
doi:10.1016/j.optcom.2003.09.080

20. Mirza, I. O., J. N. Sabas, S. Shi, and D. W. Prather, "Experimental demonstration of metamaterial based phase modulation," Progress In Electromagnetics Research, Vol. 93, 1-12, 2009.
doi:10.2528/PIER09050412

21. Sabah, C. and S. Uckun, "Multilayer system of Lorentz/drude type metamaterials with dielectric slabs and its application to electromagnetic filters," Progress In Electromagnetics Research, Vol. 91, 349-364, 2009.
doi:10.2528/PIER09031306

22. Jose, J., "Controlled coupling of planar waveguides using a negative-refractive-index medium," J. Phys. B: At. Mol. Opt. Phys., Vol. 40, 497-505, 2007.
doi:10.1088/0953-4075/40/3/005

23. Lomakin, V., Y. Fainman, Y. Urzhumov, and G. Shvets, "Doubly negative metamaterials in the near infrared and visible regimes based on thin film nanocomposites," Opt. Express, Vol. 14, 11164-11177, 2006.
doi:10.1364/OE.14.011164

24. Shadrivov, I. V., A. A. Sukhorukov, and Y. S. Kivshar, "Guided modes in negative-refractive-index waveguides," Phys. Rev. E, Vol. 67, 057602, 2003.
doi:10.1103/PhysRevE.67.057602

25. He, Y., Z. Cao, and Q. Shen, "Guided optical modes in asymmetric left-hand waveguides," Opt. Commun., Vol. 245, 125-135, 2005.
doi:10.1016/j.optcom.2004.09.067

26. Wu, Y. D., M. L. Huang, M. H. Chen, and R. Z. Tasy, "All-optical switch based on the local nonlinear Mach-Zehnder interferometer," Opt. Express, Vol. 15, 9883-9892, 2007.
doi:10.1364/OE.15.009883

27. Wu, Y. D., T. T. Shih, and M. H. Chen, "New all-optical logic gates based on the local nonlinear Mach-Zehnder interferometer," Opt. Express, Vol. 16, 248-257, 2008.
doi:10.1364/OE.16.000248

28. Kaman, V., X. Zheng, S. Yuan, J. Klingshirn, C. Pusarla, R. J. Helkey, O. Jerphagnon, and J. E. Bowers, "A 32 × 10 Gb/s DWDM metropolitan network demonstration using wavelength-selective photonic cross-connects and narrow-band EDFAs," IEEE Photonics Technol. Lett., Vol. 17, 1977-1979, 2005.
doi:10.1109/LPT.2005.853262

29. Ttrutschel, U., F. Lederer, and M. Golz, "Nonlinear guided waves in multilayer systems," IEEE J. Quantum Electron., Vol. 25, 194-200, 1989.
doi:10.1109/3.16262

30. Radic, S., N. George, and G. P. Agrawal, "Theory of low-threshold optical switching in nonlinear phase-shifted periodic structures," J. Opt. Soc. Am. B, Vol. 12, 671-680, 1995.
doi:10.1364/JOSAB.12.000671

31. Radic, S., N. George, and G. P. Agrawal, "Analysis of nonuniform nonlinear distributed feedback structures: Generalized transfer matrix method," IEEE J. Quantum Electron., Vol. 31, 1326-1336, 1995.
doi:10.1109/3.391098

32. She, S. and S. Zhang, "Analysis of nonlinear TE waves in a periodic refractive index waveguide with nonlinear caldding," Opt. Commun., Vol. 161, 141-148, 1999.
doi:10.1016/S0030-4018(99)00004-8

33. Jovanoski, Z., I. N. Towers, N. A. Ansari, and R. A. Sammut, "Approximate analysis of circular bends in nonlinear planar waveguides," Opt. Commun., Vol. 244, 399-409, 2005.
doi:10.1016/j.optcom.2004.09.036

34. Nguyen, T. G. and A. Mitchell, "Analysis of optical waveguides with multilayer dielectric coatings using plane wave expansion," J. Lightwave Technol., Vol. 24, 635-642, 2006.
doi:10.1109/JLT.2005.860158

35. Lecamp, G., J. P. Hugonin, and P. Lalanne, "Theoretical and computational concepts for periodic optical waveguides," Opt. Express, Vol. 15, 11042-11060, 2007.
doi:10.1364/OE.15.011042

36. Sidorov, A. I., "Radiation modulation via violation of total internal reflection with excitation of a waveguide mode," Tech. Phys., Vol. 53, 732-736, 2008.
doi:10.1134/S1063784208060108

37. Wu, Y. D., M. H. Chen, C. K. Kuo, S. Y. Chen, and C. F. Chang, "The study of multilayer planar optical waveguide structure with nonlinear cladding," Opt. Quantum Electron., Vol. 40, 495-512, 2008.
doi:10.1007/s11082-008-9235-4

38. Wu, Y. D., M. H. Chen, and H. J. Tasi, "Analyzing multilayer optical waveguides with nonlinear cladding and substrates," J. Opt. Soc. Am. B, Vol. 19, 1737-1745, 2002.
doi:10.1364/JOSAB.19.001737

39. Wu, Y. D., "Analyzing multilayer optical waveguides with a localized arbitrary nonlinear guiding film," IEEE J. Quantum Electron., Vol. 40, 529-540, 2004.

40. Wu, Y. D. and M. H. Chen, "Method for analyzing multilayer nonlinear optical waveguide," Opt. Express, Vol. 13, 7982-7995, 2005.
doi:10.1364/OPEX.13.007982

41. Kuo, C. W., S. Y. Chen, M. H. Chen, C. F. Chang, and Y. D. Wu, "Analyzing multilayer optical waveguide with all nonlinear layers," Opt. Express, Vol. 15, 2499-2516, 2007.
doi:10.1364/OE.15.002499

42. Kuo, C. W., S. Y. Chen, Y. D. Wu, M. H. Chen, and C. F. Chang, "Analysis and calculations of forbidden regions for transverse-electric-guided waves in the three-layer planar waveguide with photonic metamaterial," Fiber Integrated Opt., Vol. 29, 305-314, 2010.

43. Doer, C. R. and H. Kogelnik, "Dielectric waveguide theory," J. Lightwave Technol., Vol. 26, 1176-1187, 2008.
doi:10.1109/JLT.2008.923632


© Copyright 2014 EMW Publishing. All Rights Reserved