Skip to main content
SpringerLink
Log in

Photonic metamaterial planar optical waveguide structures with all Kerr-type nonlinear guiding films

  • Published:
Optical and Quantum Electronics Aims and scope Submit manuscript

Abstract

In this paper, an analytical method that can be used to analyze of the photonic metamaterial optical waveguide structures with all Kerr-type nonlinear guiding films was proposed. Some degenerated examples were introduced to prove the accuracy of the proposed method. The similar process can also be used to analyze TM waves propagating in the multilayer metamaterial waveguide structure with all Kerr-type nonlinear metamaterial guiding films. The method can also be degenerated to analyze the linear photonic metamaterial planar optical waveguide structures.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6

Similar content being viewed by others

References

  • Alaee, R., Menzel, C., Rockstuhl, C., et al.: Perfect absorbers on curved surfaces and their potential applications. Opt. Express 20, 18370–18376 (2012)

    Article  ADS  Google Scholar 

  • Al-Naib, I.A.I., Jansen, C., Koch, M.: Single metal layer CPW metamaterial band-pass flter. Prog. Electromagn. Res. Lett. 17, 153–161 (2010)

    Article  Google Scholar 

  • Awad, M., Nagel, M., Kurz, H.: Negative-index metamaterial with polymer-embedded wire-pair structures at terahertz frequencies. Opt. Lett. 33, 2683–2685 (2008)

    Article  ADS  Google Scholar 

  • Capecchi, W.J., Behdad, N., Volpe, F.A.: Reverse chromatic aberration and its numerical optimization in a metamaterial lens. Opt. Express 20, 8761–8769 (2012)

    Article  ADS  Google Scholar 

  • Castaldi, G., Gallina, I., Galdi, V., Alú, A., Engheta, N.: Cloak/anti-cloak interactions. Opt. Express 17, 3101–3114 (2009)

    Article  ADS  Google Scholar 

  • Chen, H.T., Padilla, W.J., Cich, M.J., Azad, A.K., Averitt, R.D., Taylor, A.J.: A metamaterial solid-state terahertz phase modulator. Nat. Photon. 3, 148–151 (2009). https://doi.org/10.1038/nphoton.2009.3

  • Darmanyan, S.A., Nevière, M., Zakhidov, A.A.: Nonlinear surface waves at the interfaces of left-handed electromagnetic media. Phys. Rev. E 72, 036615 (2005)

  • Doer, C.R., Kogelnik, H.: Dielectric waveguide theory. J. Lightwave Technol. 26, 1176–1187 (2008)

    Article  ADS  Google Scholar 

  • Dolling, G., Wegener, M., Soukoulis, C.M., Linden, S.: Negative-index metamaterial at 780 nm wavelength. Opt. Lett. 32, 53–55 (2007)

    Article  ADS  Google Scholar 

  • Duan, Z.Y., Wu, B.I., Xi, S., Chen, H., Chen, M.: Research progress in reversed Cherenkov radiation in double-negative metamaterials. Prog. Electromagn. Res. 90, 75–87 (2009)

    Article  Google Scholar 

  • Gong, Y., Wang, G.: Superficial tumor hyperthermia with flat left-handed metamaterial lens. Prog. Electromagn. Res. 98, 389–405 (2009)

    Article  Google Scholar 

  • Guenneau, S., Petiteau, D., Zerrad, M., Amra, C.: Bicephalous transformed media concentrator versus and cloak versus superscatterer. Opt. Express 22, 23614–23619 (2014)

    Article  ADS  Google Scholar 

  • He, J., He, Y., Hong, Z.: Backward coupling o modes in a left-handed met material tapered waveguide. IEEE Microw. Wireless Compon. Lett. 20, 378–380 (2010). https://doi.org/10.1109/LMWC.2010.2049429

  • Huang, M.D., Tan, S.Y.: Efficient electrically small prolate spheroidal antennas coated with a shell of double-negative metamaterials. Prog. Electromagn. Res. 82, 241–255 (2008)

    Article  Google Scholar 

  • Hwang, R.-B., Liu, H.-W., Chin, C.-Y.: A metamaterial-based E-plane horn antenna. Prog. Electromagn. Res. 93, 275–289 (2009)

    Article  Google Scholar 

  • Islam, S.S., Faruque, M.R.I., Islam, M.T.: A near zero refractive index metamaterial for electromagnetic invisibility cloaking operation. Materials (2015)

  • Jang, Y.S., Yoo, M.Y., Lim, S.J.: Conformal metamaterial absorber for curved surface. Opt. Express 21, 24163–24170 (2013)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  • Kuo, C.W., Chen, S.Y., Wu, Y.D., Chen, M.H.: Analyzing the multilayer optical planar waveguides with double-negative metamaterial. Prog. Electricmagn. Res. 110, 163–178 (2010b)

    Article  Google Scholar 

  • Landy, N.I., Sajuyigbe, S., Mock, J.J., et al.: Perfect metamaterial absorber. Phys. Rev. Lett. 100, 207402 (2008)

  • Larouche, S., Tsai, Y.J., Tyler, T., Jokerst, N.M., Smith, D.R.: Infrared metamaterial phase holograms. Nat. Mater. 11, 450–454 (2012)

    Article  ADS  Google Scholar 

  • Lipworth, G., Nicholas, W.C., Stéphane, L., Smith, D.R.: Phase and magnitude constrained metasurface holography at W-band frequencies. Opt. Express 24, 19372–19387 (2016)

  • Liu, N., Mesch, M., Weiss, T., Hentschel, M., Giessen, H.: Infrared perfect absorber and its application as plasmonic sensor. Nano Lett. 10, 2342–2348 (2010)

    Article  ADS  Google Scholar 

  • Manapati, M.B., Kshetrimayum, R.S.: SAR reduction in human head from mobile phone radiation using single negative metamaterials. J. Electromagn. Waves Appl. 23(10), 1385–1395 (2009)

    Article  Google Scholar 

  • Milonni, P.W., Maclay, G.J.: Quantized-field description of light negative-index media. Opt. Commun. 228, 161–165 (2003)

    Article  ADS  Google Scholar 

  • Mirza, I.O., Sabas, J.N., Shi, S., Prather, D.W.: Experimental demonstration of metamaterial based phase modulation. Prog. Electromagn. Res. 93, 1–12 (2009)

    Article  Google Scholar 

  • Orazbayev, B., Pacheco-Peña, V., Beruete, M., Navarro-Cía, M.: Exploiting the dispersion of the double-negativeindex index fishnet material to creat a broadband low-profile metallic lens. Opt. Express 23, 8555–8564 (2015)

    Article  ADS  Google Scholar 

  • Pollock, J.G., Iyer, A.K.: Below-cutoff propagation in metamaterial-lined circular waveguides. IEEE Trans. Microw. Theory Technol. 61, 3169–3178 (2013). https://doi.org/10.1109/TMTT.2013.2274780

  • Sabah, C., Uckun, S.: Multilayer system of Lorentz/drude type metamaterials with dielectric slabs and its application to electromagnetic lters. Prog. Electromagn. Res. 91, 349–364 (2009)

    Article  Google Scholar 

  • Segovia, P., Marino, G., Krasavin, A.V., Olivier, N., Wurtz, G.A., Belov, P.A., Ginzburg, P., Zayats, A.V.: Hyperbolic metamaterial antenna for secondharmonic harmonic generation tomography. Opt. Express 23, 30730–30738 (2015)

    Article  ADS  Google Scholar 

  • Shadrivov, I.V., Sukhorukov, A.A., Kivshar, Yu.S.: Guided modes in negative-refractive-index waveguides. Phys. Rev. E 67, 057602 (2003)

  • Shadrivov, I.V., Sukhorukov, A.A., Kivshar, Y.S., Zharov, A.A., Boardman, A.D., Egan, P.: Nonlinear surface waves in left-handed materials. Phys. Rev. E 69, 016617 (2004)

  • Shelby, R.A., Smith, D.R., Schultz, S.: Experimental verification of a negative index of refraction. Science 292(5514), 77–79 (2001)

    Article  ADS  Google Scholar 

  • Shen, M., Ruan, L., Chen X.: Guided modes near the Dirac point in negative-zero-positive index metamaterial waveguide. Opt. Express 18, 12779–12787 (2010). https://doi.org/10.1364/OE.18.012779

  • Si, L.-M., Lv, X.: CPW-FED multi-band omni-directional planar microstrip antenna using composite metamaterial resonators for wireless communications. Prog. Electromagn. Res. 83, 133–146 (2008)

    Article  Google Scholar 

  • Taya, S.A., Shabat, M.M., Khalil, H.M.: Enhancement of sensitivity in optical waveguide sensors using left-handed materials. Optik 120, 504–508 (2009)

  • Taya, S.A., El-Farram, E.J., El-Agez, T.M.: Goos–Hanchen shift as a probe in evanescent slab waveguide sensors. Int. J. Electron. Commun. 66, 204–210 (2012)

  • Veselago, V.G.: The electrodynamics of substances with simultaneously negative values of ε and µ. Sov. Phys. Usp. 10(4), 509–514 (1968)

    Article  ADS  Google Scholar 

  • Vrba, J., Vrba, D.: A Microwave Metamaterial Inspired Sensor for Non-Invasive Blood Glucose Monitoring. Radioengineering 24(4), 877–884 (2015)

    Article  Google Scholar 

  • Wang, M.-Y., Xu, J., Wu, J., Wei, B., Li, H.-L., Xu, T., Ge, D.-B.: FDTD study on wave propagation in layered structures with biaxial anisotropic metamaterials. Prog. Electromagn. Res. 81, 253–265 (2008)

    Article  Google Scholar 

  • Wu, Y.D.: A general method for analyzing arbitrary planar negative-refractive-index multilayer slab optical waveguide structures. Sci. Rep. 10, 14964 (2020)

    Article  Google Scholar 

  • Wu, W.-Y., Lai, A., Kuo, C.W., Leong, K.M.K.H., Itoh, T.: Efficient FDTD method for analysis of mushroom-structure based left-handed materials. IET Microwaves Antennas Propag. 1, 100–107 (2007a)

    Article  Google Scholar 

  • Wu, Y.D., Huang, M.L., Chen, M.H., Tasy, R.Z.: All-optical switch based on the local nonlinear Mach-Zehnder interferometer. Opt. Express 15, 9883–9892 (2007b)

    Article  ADS  Google Scholar 

  • Wu, Y.D., Shih, T.T., Chen, M.H.: New all-optical logic gates based on the local nonlinear Mach-Zehnder interferometer. Opt. Express 16, 248–257 (2008)

    Article  ADS  Google Scholar 

  • Xi, S., Chen, H., Wu, B.I., Kong, J.A.: Experimental confirmation of guidance properties using planar anisotropic left-handed metamaterial slabs based on S-ring resonators. Prog. Electromagn. Res. 84, 279–287 (2008)

    Article  Google Scholar 

  • Yan, R., Sensale-Rodriguez, B., Liu, L., Jena, D., Xing, H.G.: A new class of electrically tunable metamaterial terahertz modulators. Opt. Express 20(27), 28664–28671 (2012)

  • Yi, C.H., Yoo, Y.J., Kim, Y.J., Kim, K.W., Lee, Y.P., Rhee, J.Y.: Analysis of a systematic error appearing as a periodic in the frequency-domain absorption spectra of metamaterial absorbers. Opt. Express 25, 13296–13304 (2017)

    Article  ADS  Google Scholar 

  • Yoo, I., Imani, M.F., Sleasman, T., Smith, D.R.: Efficient complementary metamaterial element for waveguide fed metasurface antennas. Opt. Express 25, 28686–28692 (2016)

    Article  ADS  Google Scholar 

  • Yu, G.X., Cui, T.-J., Jiang, W.X., Yang, X.M., Cheng, Q., Hao, Y.: Transformation of different kinds of electromagnetic waves using metamaterials. J. Electromagn. Waves Appl. 23(5–6), 583–592 (2009)

    Article  Google Scholar 

  • Zhou, H., Pei, Z., Qu, S., Zhang, S., Wang, J., Li, Q., Xu, Z.: A planar zero-index metamaterial for directive emission. J. Electromagn. Waves Appl. 23, 953–962 (2009)

    Article  Google Scholar 

  • Ziolkowski, R.W., Heyman, E.: Wave propagation in media having negative permittivity and permeability. Phys. Rev. E. 64, 056625 (2001)

  • Ziolkowski, R.W., Heyman, E.: Wave propagation in media having negative permittivity and permeability. Phys. Rev. E 64, 056625 (2001)

Download references

Author information

Authors and Affiliations

  1. Department of Electronic Engineering, National Kaohsiung University of Science and Technology, Kaohsiung 807, Kaohsiung, Taiwan, R.O.C.

    Yaw-Dong Wu & Ming-Hsiung Cheng

Authors
  1. Yaw-Dong Wu
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Ming-Hsiung Cheng
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Yaw-Dong Wu.

Additional information

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Wu, YD., Cheng, MH. Photonic metamaterial planar optical waveguide structures with all Kerr-type nonlinear guiding films. Opt Quant Electron 53, 690 (2021). https://doi.org/10.1007/s11082-021-03314-y

Download citation

  • Received:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1007/s11082-021-03314-y

Keywords

Search

Navigation