Skip to main content

Study About a Filter Using a Resonator Defect in a One-Dimensional Photonic Comb Containing a Left-Hand Material

  • Conference paper
  • First Online:

Part of the book series: Lecture Notes in Electrical Engineering ((LNEE,volume 519))

Abstract

This article describes a theoretical study of new filters using a cavity in a one-dimensional photonic comb containing left handed materials. This photonic comb is constituted by infinity of segments grafted in each site by a finite number of lateral branches (play the role of the resonators), which consists of a left hand material (LHM). Numerical results exhibit the existence of discrete modes (structure modes) in transmission spectrum. These discrete modes are corresponding to transmission bands which separated by large gaps (forbidden bands). These gaps originate not only from the periodicity of the system but also from the resonance states of the grafted lateral branches. The presence of defect lateral branches in the structure can give rise to localized states (defect modes) inside the gaps. We show that these states are very sensitive to the defect length, the number of sites, the position of defect, and the number of defective grafted lateral branches. The maximum transmission shows that there is an interaction between the defect modes and the discrete modes giving rise to a lifting of degeneration.

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

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   169.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   219.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD   219.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

References

  1. Zhu W, Xiao F, Kang M, Sikdar D, Premaratne M (2014) Tunable terahertz left-handed metamaterial based on multi-layer graphene-dielectric composite. Appl Phys Lett 104:051902–051907

    Article  Google Scholar 

  2. Huang L, Chen H (2011) Multi-band ans polarization insensitive metamaterial absorber. Prog Electromagnet Res 113:103–110

    Article  Google Scholar 

  3. Dockrey JA, Horsley SA, Hooper R, Sambles JR, Hibbins AP (2016) Direct observation of negativeindex microwave surface waves. Sci Rep 6:1–6

    Article  Google Scholar 

  4. Bria D, Djafari-Rouhani B, Akjouj A, Dobrzynski L, Vigneron JP, El Boudouti EH, Nougaoui A (2004) Band structure and omnidirectional photonic band gap in lamellar structures with left-handed materials. Phys Rev E 69:66613–66622

    Article  Google Scholar 

  5. Bria D, Essadqui A, Djafari-Rouhani B, Azizi M, Daoudi A, Nougaoui A (2008) Confinement of light in periodic structures with negative phase velocity. Int At Energy Agency 57:1–16

    Google Scholar 

  6. Dincer F, Sabah C, Karaaslan M, Unal E, Bakir M, Erdiven U (2013) Asymmetric transmission of linerarly polarized waves and dynamically wave rotation using chiral metamaterial. Prog Electromagnet Res 140:227–239

    Article  Google Scholar 

  7. Rahimi M, Zarrabi FB, Ahmadian R, Mansouri Z, Keshtkar A (2014) Miniaturization of antenna for wireless application with difference metamaterial structures. Prog Electromagnet Res 145:19–29

    Article  Google Scholar 

  8. Abadla MM, Taya SA, Shabat MM (2011) Four-layer slab waveguide sensors supported with left handed materials. Sens Lett 9:1–7

    Article  Google Scholar 

  9. Sabah C, Tastan HT, Dincer F, Delihacioglu K, Karaaslan M, Unal E (2013) Transmission tunneling through the multilayer double-negative and double-positive slabs. Prog Electromagnet Res 138:293–306

    Article  Google Scholar 

  10. Lin YS, Qian Y, Ma F, Liu Z, Kropelnicki P, Lee C (2013) Development of stress-induced curved actuators for a tunable THz filter based on double split-ring resonators. Appl Phys Lett 102:111908–111913

    Article  Google Scholar 

  11. Hu L, Mouraux A, Hu Y, Iannetti GD (2010) A novel approach for enhancing the signal-to-noise ratio and detecting automatically event-related potentials (ERPs) in single trials. NeuroImage 50:99–111

    Article  Google Scholar 

  12. McFarland DJ, McCane LM, David SV, Wolpaw JR (1997) Spatial filter selection for EEG-based communication. Electroencephalogr Clin Neurophysiol 103:386–394

    Article  Google Scholar 

  13. Han X, Xu E, Yao J (2016) Tunable single bandpass microwave photonic filter with an improved dynamic range. IEEE Phtinics Technol Lett 28:11–14

    Article  Google Scholar 

  14. Parag BD, Kogos LC, Bulu I, Loncar M (2013) Photonic crystal nanobeam cavities for tunable filter and router applications. IEEE J Sel Top Quantum Electron 19:3600210–3600219

    Article  Google Scholar 

  15. Tarkoma S, Rothenberg CE, Lagerspetz E (2012) Theory and practice of bloom filters for distributed systems. IEEE Commun Serv Tutor 14:131–155

    Article  Google Scholar 

  16. Zhan Y, Li J, Qin W, Chen JX (2015) Low-loss differential bandpass filter using TE01δ-mode dielectric resonators. Electron Lett 51:1001–1003

    Article  Google Scholar 

  17. Vasseur JO, Deymier PA, Dolorzynski L, Djafari-Rouhani B, Akjouj A (1997) Absolute band gaps and electromagnetic transmission in quasi-one-dimensional comb structures. Phys Rev B 55:10434–10442

    Article  Google Scholar 

  18. Dolorzynski L, Akjouj A, Djafari-Rouhani B, Vasseur JO, Zemmouri J (1998) Giant gaps in photonic band structures. Phys Rev B 57:9388–9391

    Article  Google Scholar 

  19. Vasseur JO, Deymier PA, Dolorzynski L, Djafari-Rouhani B, Akjouj A (1999) Defect modes in one-dimensional comblike photonic waveguides. Phys Rev B 59:13446–13452

    Article  Google Scholar 

  20. Djafari-Rouhani B, Vasseur JO, Akjouj A, Dolorzynski L, Kushwaha MS, Deymier PA, Zemmouri J (1998) Giant stop bands and defect mode in one-dimensional waveguide. Prog Surf Sci 59:255–264

    Article  Google Scholar 

  21. Cocoletzi GH, Dobrzynski L, Djafari-Rouhani B, Al-Wahsh H, Bria D (2006) Electromagnetic wave propagation in quasi-one-dimensional comb-like structures made up of dissipative negative-phase-velocity materials. Condens Matter 18:3683–3690

    Article  Google Scholar 

  22. Yin CP, Wang HZ (2009) Narrow transmission bands of quasi-1D comb-like photonic waveguides containing negative index materials. Phys Lett A 373:1093–1096

    Article  Google Scholar 

  23. Liu CC, Wu CJ (2014) Analysis of defect mode in a dielectric photonic crystal containing ITO defect. Optik 125:7140–7142

    Article  Google Scholar 

  24. Liu YJ, Xie X, Xie L, Yang ZK, Yang HW (2016) Dual-band absorption characteristics of one-dimensional photonic crystal with graphene-based defect. Optik 127:3945–3948

    Article  Google Scholar 

  25. Ouchani N, Bria D, Djafari-Rouhani B, Nougaoui A (2009) Defect modes in one-dimensional anisotropic photonic crystal. Condens Matter 21:485401–485411

    Article  Google Scholar 

  26. Ben-Ali Y, Tahri Z, Bouzidi A, Bria D, Khettabi A, Nougaoui A (2017) Propagation of electromagnetic waves in a one-dimensional photonic crystal containing two defects. J Mater Environ Sci 8:870–876

    Google Scholar 

  27. Singh BK, Tiwari S, Chaudhari MK, Pandey PC (2016) Tunable photonic defect modes in one-dimensional photonic crystals containing exponentially and linearly graded index defect. Optik 127:6452–6462

    Article  Google Scholar 

  28. Gunyakov VA, Krakhalev MN, Zyryanov Y, Shabanov VF, Loiko VA (2016) Modulation of defect modes intensity by controlled light scattering in photonic crystal with liquid crystal domain structure. Quant Spectrosc Radiat Transf 178:152–157

    Article  Google Scholar 

  29. Essadqui A, Ben-Ali J, Bria D, Djafari-Rouhani B (2010) Photonic band structure of 1D periodic composite system with left handed and right handed materials by green function approach. Prog Electromagnet Res B 23:229–249

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Y. Ben-Ali .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2019 Springer Nature Singapore Pte Ltd.

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Ben-Ali, Y., Tahri, Z., Falyouni, F., Bria, D. (2019). Study About a Filter Using a Resonator Defect in a One-Dimensional Photonic Comb Containing a Left-Hand Material. In: Hajji, B., Tina, G.M., Ghoumid, K., Rabhi, A., Mellit, A. (eds) Proceedings of the 1st International Conference on Electronic Engineering and Renewable Energy. ICEERE 2018. Lecture Notes in Electrical Engineering, vol 519. Springer, Singapore. https://doi.org/10.1007/978-981-13-1405-6_19

Download citation

  • DOI: https://doi.org/10.1007/978-981-13-1405-6_19

  • Published:

  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-13-1404-9

  • Online ISBN: 978-981-13-1405-6

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics