Skip to main content

Advertisement

Log in

Optimal Selective Arbitrary-Spaced Filters Optimization Using GA Synthesis in One-Dimensional Silicon Photonic Crystal

  • Original Paper
  • Published:
Silicon Aims and scope Submit manuscript

Abstract

The optimization process is a necessary step in the design of optimal optical devices with high performances. In this paper, optimization of unidirectional photonic crystal selective arbitrary-spaced filters based on silicon Material Si with large refractive index (n = 3.5) are achieved based on the genetic algorithm technique. The photonic crystal transmission synthesis is obtained by acting on the layer widths. Genetic algorithm is employed in order to reduce the quadratic error between the desired Gaussian function defined in advance and the synthesized power transmission spectra to obtain a desired curve and get the optimal filter layer thickness. As a result, eight filters have been synthesized around respectively the wavelengths: 1.1, 1.2, 1.3, 1.4, 1.55, 1.65, 1.75 and 1.95 μm with excellent selectivity and rejection less than 18% with a transmitted bandwidth of about 0.05 μm where a transmission of about 95% is recorded at the desired wavelengths.

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

Access this article

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

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Badaoui H, Feham M, Abri M (2012) Double bends and y-shaped splitter design for integrated optics. Prog Electromagn Res Lett 28:129–138

    Article  Google Scholar 

  2. Baldycheva A, Tolmachev VA, Perova TS, Zharova YA, Astrova EV, Berwick K (2011) Silicon photonic crystal filter with ultrawide passband characteristics. Opt Lett 36(10):1854–1856

    Article  CAS  PubMed  Google Scholar 

  3. Ghosh R, Ghosh KK, Chakraborty R (2013) Narrow band filter using 1D periodic structure with defects for DWDM systems. Opt Commun 289:75–80

    Article  CAS  Google Scholar 

  4. Yablonovitch E (1987) Inlibited Spontancous emission in solid-state physics and electronics. Phys Rev Lett 58:2059–2062

    Article  CAS  PubMed  Google Scholar 

  5. John S (1987) Strong localization of photos in certain disorded dielectric superlattices. Phys Rev Lett 58:2486–2489

    Article  CAS  PubMed  Google Scholar 

  6. Jin W, Ju J, Ho HL, Hoo YL, Zhang A (2013) Photonic crystal fibers, devices, and applications. Front Optoelectron 6(1):3–24

    Article  Google Scholar 

  7. Kim D (2017) Handbook of photonics for biomedical engineering. Springer edition

  8. Zhang Y-N, Zhaoa Y, Lv R-Q (2015) A review for optical sensors based on photonic crystal cavities. Sens Actuators A Phys 233:374–389

    Article  CAS  Google Scholar 

  9. Aly AH, Elsayed HA, El-Naggar SA (2017) Tuning the flow of light in two-dimensional metallic photonic crystals based on Faraday effect. J Mod Opt 64(1):74–80

    Article  CAS  Google Scholar 

  10. Aly AH, ElSayed HA (2017) Tunability of defective one-dimensional photonic crystals based on Faraday effect. J Mod Opt 64(8):871–877

    Article  Google Scholar 

  11. Aly AH, Sabra W, Elsayed HA (2017) Cutoff frequency in metamaterials photonic crystals within Terahertz frequencies. Int J Mod Phys B 31:1750123

    Article  Google Scholar 

  12. Aly AH, El-Naggar SA, Elsayed HA (2015) Tunability of two dimensional n-doped semiconductor photonic crystals based on the Faraday effect. Opt Express 23(11):15038–15046

    Article  CAS  PubMed  Google Scholar 

  13. Aly AH, Mohamed D, Elsayed HA, Mehaney A (2015) Fano resonance by means of the one-dimensional superconductor photonic crystals. J Supercond Nov Magn 1–7

  14. Hassan A-KSO, Mohamed ASA, Maghrabi MMT, Rafat NH (2015) Optimal design of one-dimensional photonic crystal filters using minimax optimization approach. Appl Opt 54(6):1399–1409

  15. Barvestani J (2015) Omnidirectional narrow bandpass filters based on one-dimensional superconductor dielectric photonic crystal heterostructors. Physica B 457:218

    Article  CAS  Google Scholar 

  16. Badaoui HA, Abri M (2014) New design of integrated 2D photonic crystal narrow band filters using the FDTD-2D method. Frequenz 168(11–12):511–518

    Google Scholar 

  17. Badaoui HA, Abri M (2015) Optimized 1 × 8 compact splitter based on photonic crystal using the two-dimensional finite-difference time-domain technique. Opt Eng 54(6):067104

    Article  Google Scholar 

  18. Badaoui H, Feham M, Abri M (2011) Photonic-crystal band-pass resonant filters design using the two-dimensional FDTD method. Int J Comput Sci Issues 7(3):127–132

  19. Fedaouche A, Badaoui HA, Abri M (2018) An ultra-compact 1 × 5 and 1 × 10 beam-splitters in photonic crystal slab. Optik-Int J Light Electron Opt 157:1300–1305

    Article  CAS  Google Scholar 

  20. Amal F, Badaoui HA, Mehadji A (2016) Ultra highly efficient 1×3 and 1×6 splitters for terahertz communication applications. IEEE Photon Technol Lett 28(13):1434–1437

    Article  Google Scholar 

  21. Farah L, Hadjira AB, Mehadji A (2016) A novel 1.31 um narrow-band TE-mode filter design based on PBG shift in 2D photonic crystal slab. Photon Lett Poland 8(3):82–84

    Google Scholar 

  22. Fabre C, Sandoghdar V, Cugliandolo LF, Treps N (2013) Quantum optics and nanophotonics. Oxford University Press, Oxford

    Google Scholar 

  23. Jiang L, Li H, Jia W, Li X, Shen Z (2009) Genetic optimization of photonic crystal waveguide termination for both on-axis and off-axis highly efficient directional emission. Optics Express 17(12):10126–10135

    Article  CAS  PubMed  Google Scholar 

  24. Preble S, Lipson M, Lipson H (2005) Two-dimensional photonic crystals designed by evolutionary algorithms. Appl Phys Lett 86:061111

    Article  CAS  Google Scholar 

  25. Sukhoivanov IA, Gurye IV (2009) Photonic crystals: physics and practical modeling. Springer Series in Optical Sciences edition

  26. Abri Badaoui H, Abri M (2013) One-dimensional photonic crystal selective filters design using simulated annealing optimization technique. Prog Electromagn Res B 53:107–125

    Article  Google Scholar 

  27. Habgood K, Arel I (2012) A condensation-based application of Cramers rule for solving large-scale linear systems. J Discrete Algorithms 10:98–109

    Article  Google Scholar 

  28. Johnson M, Yahia-Samii R (1996) Genetic algorithm optimisation for aerospace electromagnetic design and analysis. In: Proceedings of the IEEE conference on aerospace application, pp 87–102

  29. Boag AL, Boag AM, Michielssen E, Mittra R (1996) Design of electrically loaded wire antennas using genetic algorithms. IEEE Antennas Propag Mag 44(5):687–695

    Article  Google Scholar 

  30. Abri M, Boukli-Hacene N, Bendimerad FT (2008) Synthesis of ring printed antennas arrays: optimization by the genetic algorithm. Int J Model Simul 28(2):174–181

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Hadjira Badaoui.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Badaoui, H., Abri, M. & Chaker, H. Optimal Selective Arbitrary-Spaced Filters Optimization Using GA Synthesis in One-Dimensional Silicon Photonic Crystal. Silicon 11, 789–795 (2019). https://doi.org/10.1007/s12633-018-9883-3

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s12633-018-9883-3

Keywords

Navigation