Skip to main content
SpringerLink
Log in

Metaheuristic algorithms for dispersion optimization of photonic crystal fibers

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

Abstract

In this paper, recent metaheuristic algorithms such as central force optimization (CFO) and particle swarm optimization (PSO) have been used for efficient calculation and optimization of the dispersion properties of photonic crystal fibers (PCFs), in an easy, efficient, and simple way. The suggested approach depends on the use of full vectorial finite difference method along with the optimization techniques for PCF dispersion optimization. The design of ultra-flattened zero dispersion PCF over a wide band of wavelengths from 1.25 to 1.6 µm is carried out in order to introduce the advantages of using these algorithms in conjunction with the numerical methods. Additionally, the CFO and PSO algorithms have a strong potential to be intriguing tools for the design and optimization of different photonic devices. Further, these algorithms prove to be powerful techniques for solving the inverse problems.

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

Similar content being viewed by others

References

  • Campbell, S., McPhedran, R.C., Martijnde Sterke, C., Botten, L.C.: Differential multipole method for microstructured optical fibers. J. Opt. Soc. Am. B 21, 1919–1928 (2004)

    Article  ADS  Google Scholar 

  • Cheng, H., Crutchfield, W.Y., Doery, M., Greengard, L.: Fast, accurate integral equation methods for the analysis of photonic crystal fibers I: theory. Opt. Express 12, 3791–3805 (2004)

    Article  ADS  Google Scholar 

  • Chew, W.C., Jin, J.M., Michielssen, E.: Complex coordinate stretching as a generalized absorbing boundary condition. Microw. Opt. Technol. Lett. 15(6), 363–369 (1997)

    Article  Google Scholar 

  • Cho, M.H., Cai, W., Her, T.H.: A boundary integral equation method for photonic crystal fibers. J. Sci. Comput. 28(2/3), 263–278 (2006)

    Article  MathSciNet  MATH  Google Scholar 

  • El-Mosalmy, D., Hameed, M.F.O., Areed, N.F.F., Obayya, S.S.A.: Novel neural network based optimization approach for photonic devices. Opt. Quantum Electron. 46, 439–453 (2014)

    Article  Google Scholar 

  • Fallahkhair, A.B., Li, K.S., Murphy, T.E.: Vector finite difference modesolver for anisotropic dielectric waveguides. J. Lightwave Technol. 26, 1423–1431 (2008)

    Article  ADS  Google Scholar 

  • Fini, J.M.: Analysis of microstructure optical fibers by radial scattering decomposition. Opt. Lett. 28(12), 992–994 (2003)

    Article  ADS  Google Scholar 

  • Formato, R.A.: Central force optimization: a new metaheuristic with application in applied electromagnetics. Prog Electromagn Res PIER 77, 425–491 (2007)

    Article  Google Scholar 

  • Formato, R.A.: Central force optimization: a new gradient-like metaheuristic for multidimensional search and optimization. Int. J. Bio Inspired Comput. 1, 217–238 (2009)

    Article  Google Scholar 

  • Formato, R.A.: Improved CFO algorithm for antenna optimization. Prog Electromagn Res B 19, 405–425 (2010)

    Article  Google Scholar 

  • Formato, R. A.: Central force optimization: a new nature inspired computational framework for multidimensional search and optimization. Stud. Comput. Intell. (SCI), 129, 221–238. Berlin: Springer (2008)

  • Hameed, M.F.O., Obayya, S.S.A.: Polarization splitter based on soft glass nematic liquid crystal photonic crystal fiber. IEEE Photonics J. 1, 265–276 (2009)

    Article  Google Scholar 

  • Hameed, M.F.O., Obayya, S.S.A., Al Begain, K., Nasr, A.M., Abo el Maaty, M.I.: Accurate radial basis Function based neural network approach for analysis of photonic crystal fibers. J. Opt. Quantum Electron. 40, 891–905 (2008)

    Article  Google Scholar 

  • Hameed, M.F.O., Obayya, S.S.A., Wiltshire, R.J.: Multiplexer–demultiplexer based on nematic liquid crystal photonic crystal fiber coupler. Opt. Quantum Electron. 41(4), 315–326 (2009)

    Article  Google Scholar 

  • Hameed, M.F.O., Obayya, S.S.A., El-Mikati, H.A.: Passive polarization converters based on photonic crystal fiber with L-shaped core region. IEEE J. Lightwave Technol. 30(3), 283–289 (2012)

    Article  ADS  Google Scholar 

  • Hameed, M.F.O., Abdelrazzak, M., Obayya, S.S.A.: Novel design of ultra-compact triangular lattice silica photonic crystal polarization converter. IEEE J. Lightwave Technol. 31(1), 81–86 (2013)

    Article  ADS  Google Scholar 

  • Hameed, M.F.O., Heikal, A.M., Younis, B.M., Abdelrazzak, M., Obayya, S.S.A.: Ultra-high tunable liquid crystal-plasmonic photonic crystal fiber polarization filter. Opt. Express 23(6), 7007–7020 (2015)

    Article  ADS  Google Scholar 

  • Haxha, S., Ademgil, H.: Novel design of photonic crystal fibres with low confinement losses, nearly zero ultra-flatted chromatic dispersion, negative chromatic dispersion and improved effective mode area. Opt. Commun. 281, 278–286 (2008)

    Article  ADS  Google Scholar 

  • Huang, W.P., Xu, C.L.: Simulation of three-dimensional optical waveguides by a full-vector beam propagation method. IEEE J. Quantum Electron. 29(10), 2639–2649 (1993)

    Article  ADS  Google Scholar 

  • Kennedy, J., Eberhart, R.: Particle swarm optimization. Proc. IEEE Conf. Neural Netw. 4, 1942–1948 (1995)

    Article  Google Scholar 

  • Kerrinckx, E., Bigot, L., Douay, M., Quiquempois, Y.: Photonic crystal fiber design by means of a genetic algorithm. Opt. Express 12, 1990–1995 (2004)

    Article  ADS  Google Scholar 

  • Mahmoud, K.R.: Central force optimization: Nelder-Mead hybrid Algorithm for rectangular microstrip antenna design. Electromagnetics 31, 578–592 (2011)

    Article  Google Scholar 

  • Mahmoud, K.R., Hamad, S.: Parallel implementation of hybrid GSA-NM algorithm for adaptive beam-forming applications. Prog. Electromagn. Res. B 58, 47–57 (2014)

    Article  Google Scholar 

  • Obayya, S.S.A., Azizur Rahman, B.M., Grattan, K.T.V., El-Mikati, H.A.: Full vectorial finite-element-based imaginary distance beam propagation solution of complex modes in optical waveguides. J. Lightwave Technol. 20, 1054–1060 (2002)

    Article  ADS  Google Scholar 

  • Russell, P.S.J.: Photonic crystal fibers. Science 299, 358–362 (2003)

    Article  ADS  Google Scholar 

  • Saitoh, K., Sato, Y., Koshiba, M.: Coupling characteristics of dual-core photonic crystal fiber couplers. Opt. Express 11, 3188–3195 (2003)

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Centre for Photonics and Smart Materials, Zewail City of Science and Technology, Sheikh Zayed District, 6th of October City, Giza, Egypt

    Mohamed Farhat O. Hameed, K. R. Mahmoud & S. S. A. Obayya

  2. Mathematics and Engineering Physics Department, Faculty of Engineering, Mansoura University, Mansoura, Egypt

    Mohamed Farhat O. Hameed

  3. Electronics, Communications and Computers Department, Faculty of Engineering, Helwan University, Cairo, Egypt

    K. R. Mahmoud

Authors
  1. Mohamed Farhat O. Hameed
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. K. R. Mahmoud
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. S. S. A. Obayya
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to S. S. A. Obayya.

Ethics declarations

Conflict of interest

Authors would like to clarify that there is no sources of funding, and no potential conflicts of interest (financial or non-financial).

Ethical standard

The authors would like to ensure the objectivity and transparency in the submitted research paper. Additionally, the authors would like to ensure that accepted principles of ethical and professional conduct have been followed through the preparation of the proposed paper.

Human and animal rights statement

Moreover, the submitter research does not involve human participants, or animals.

Additional information

This article is part of the Topical Collection on Optical Wave & Waveguide Theory and Numerical Modelling, OWTNM’ 15.

Guest edited by Arti Agrawal, B. M. A. Rahman, Tong Sun, Gregory Wurtz, Anibal Fernandez and James R. Taylor.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Hameed, M.F.O., Mahmoud, K.R. & Obayya, S.S.A. Metaheuristic algorithms for dispersion optimization of photonic crystal fibers. Opt Quant Electron 48, 127 (2016). https://doi.org/10.1007/s11082-016-0418-0

Download citation

  • Received:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1007/s11082-016-0418-0

Keywords

Search

Navigation