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Enhanced Bragg Reflection in Non-Bravais Superlattice Formed by a Dislocated Teeth-Shaped Plasmonic Waveguide

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Abstract

A periodically teeth-shaped surface plasmonic waveguide with dislocation is theoretically investigated. We propose an equivalent solvable model, a four-section non-Bravais lattice with infinite length to describe the dislocated structure. Based on the Bloch theorem, the band gap and Bragg condition of non-Bravais lattice are both derived, and the effect of dislocation on Bragg reflection is discussed. The analysis indicates that the dislocation has a remarkable effect on the distribution of band gaps and gap width and can cause an enhancement of odd-order or even-order Bragg reflection at different filling factors. In addition, the Bragg wavelength can be linearly adjusted by the dislocation. The transmission spectra of a finite-period plasmonic waveguide are studied via both transfer matrix method and numerical simulation at last. The calculation results present two cases for the enhancement of the first-order and the second-order Bragg reflections with different geometric parameters, respectively. The simulation results verify the enhanced Bragg reflection with the increase of dislocation and are well matched with our theoretical analysis.

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References

  1. Oulton RF, Sorger VJ, Genov DA et al (2008) A hybrid plasmonic waveguide for subwavelength confinement and long-range propagation. Nat Photonics 2:496–500

    Article  CAS  Google Scholar 

  2. Mu JW, Huang WP (2009) A low-loss surface plasmonic Bragg grating. J Lightwave Technol 27:436–439

    Article  Google Scholar 

  3. Hosseini A, Nejati H, Massoud Y (2007) Design of a maximally flat optical low pass filter using plasmonic nanostrip waveguides. Opt Express 15:15280

    Article  Google Scholar 

  4. Davoyan AR, Shadrivov IV, Kivshar YS (2008) Nonlinear plasmonic slot waveguides. Opt Express 16:21210

    Google Scholar 

  5. Maier SA, Kik PG, Atwater HA et al (2003) Local detection of electromagnetic energy transport below the diffraction limit in metal nanoparticle plasmon waveguides. Nat Mater 2:229–232

    Article  CAS  Google Scholar 

  6. Maier SA (2007) Plasmonics: fundamentals and applications. Springer, Berlin

    Google Scholar 

  7. Bozhevolnyi SI, Erland J, Leosson K et al (2001) Waveguiding in surface plasmon polariton band gap structures. Phys Rev Lett 86:3008

    Article  CAS  Google Scholar 

  8. Wang B, Wang GP (2005) Plasmon Bragg reflector and nanocavities on flat metallic surfaces. Appl Phys Lett 87:013107

    Article  Google Scholar 

  9. Dionne JA, Sweatlock LA, Atwater HA (2006) Plasmon slot waveguides: towards chip-scale propagation with subwavelength-scale localization. Phys Rev B 73:035407

    Article  Google Scholar 

  10. Lu H, Liu X, Gong Y, Mao D, Wang L (2011) Optical bistability in metal–insulator–metal plasmonic Bragg waveguides with Kerr nonlinear defects. App Opt 50:1307

    Article  CAS  Google Scholar 

  11. Wang G, Lu H, Liu X, Gong Y, Wang L (2011) Optical bistability in metal-insulator-metal plasmonic waveguide with nanodisk resonator containing Kerr nonlinear medium. App Opt 50:5287

    Article  CAS  Google Scholar 

  12. Liu J, Wang L, He M, Huang W, Wang D, Zou BS, Wen S (2008) A wide bandgap plasmonic Bragg reflector. Opt Express 15:4889

    Google Scholar 

  13. Tao J, Huang XG, Lin X (2010) Systematical research on characteristics of double-sided teeth-shaped nanoplasmonic waveguide filters. JOSA B 27:323–327

    Article  CAS  Google Scholar 

  14. Liu Y, Liu Y, Kim J (2010) Characteristics of plasmonic Bragg reflectors with insulator width modulated in sawtooth profiles. Opt Express 18:11589–11598

    Article  CAS  Google Scholar 

  15. Randhawa S, González MU, Renger J (2010) Design and properties of dielectric surface plasmon Bragg mirrors. Opt Express 18:14496–14510

    Article  CAS  Google Scholar 

  16. Tao J, Huang X, Lin X, Zhang Q, Jin X (2009) A narrow-band subwavelength plasmonic waveguide filter with asymmetrical multipleteeth-shaped structure. Opt Express 17:13989–13994

    Article  CAS  Google Scholar 

  17. Zhong ZJ, Xu Y, Lan S, Dai QF, Wu LJ (2010) Sharp and asymmetric transmission response in metal-dielectric-metal plasmonic waveguides containing Kerr nonlinear media. Opt Express 18:79–86

    Article  CAS  Google Scholar 

  18. Chen C, Chen J, Wu Q, Ren F, Xu J (2007) Controllable electromagnetic transmission based on dual-metallic grating structures composed of subwavelength slits. Appl Phys Lett 91:111111

    Article  Google Scholar 

  19. Fong KY, Hui PM (2006) Coupling of waveguide and surface modes in enhanced transmission through stacking gratings. Appl Phys Lett 89:091101

    Article  Google Scholar 

  20. Liu T, Shen Y, Shin W, Zhu Q, Fan S, Jin C (2014) Dislocated double-layer metal gratings: an efficient unidirectional coupler. Nano Lett 14:3848–3854

    Article  CAS  Google Scholar 

  21. Chan HB, Marcet Z, Woo K, Tanner DB, Carr DW, Bower JE, Taylor JA (2006) Optical transmission through double-layer metallic subwavelength slit arrays. Opt Lett 31:516

    Article  CAS  Google Scholar 

  22. Liu S, Zhang P, Gan XX, Xiao F, Zhao J (2010) Visualization of the Bragg reflection in complex photonic lattices by employing Brillouin zone spectroscopy. Appl Phys B 99:727

    Article  CAS  Google Scholar 

  23. Liu NH, Zhu S, Chen YH, Wu X (2002) Superluminal pulse propagation through one-dimensional photonic crystals with a dispersive defect. Phys Rev E 65(4):046607

    Article  Google Scholar 

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Acknowledgments

The authors acknowledge the financial support from the Chinese National Key Basic Research Special Fund (2010CB923201), the National Natural Science foundation of China (11374376, 11174374), the Key project of DEGP (No. 2012CXZD0001), and Innovative Talents Training Program for Doctoral Students of Sun Yat-sen University.

Compliance with Ethical Standards

This research does not involve any human participants and animals.

Conflict of Interest

No potential conflict of interest exists in the submission of this manuscript, and the manuscript is approved by all authors for publication.

Research Involving Human Participants and/or Animals

This research does not involve any human participants and animals.

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Authors and Affiliations

  1. State Key Laboratory of Optoelectronic Materials and Technologies, School of Physics and Engineering, Sun Yat-sen University, Guangzhou, 510275, China

    Wanguo Liu, Yang Shen & Chongjun Jin

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  1. Wanguo Liu
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  2. Yang Shen
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  3. Chongjun Jin
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Correspondence to Chongjun Jin.

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Liu, W., Shen, Y. & Jin, C. Enhanced Bragg Reflection in Non-Bravais Superlattice Formed by a Dislocated Teeth-Shaped Plasmonic Waveguide. Plasmonics 10, 1417–1426 (2015). https://doi.org/10.1007/s11468-015-9949-7

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  • DOI: https://doi.org/10.1007/s11468-015-9949-7

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