FLANN-SM analysis of a \(\varOmega\) unit cell

  • Sambhudutta NandaEmail author
  • Prasanna Kumar Sahu
  • Rabindra Kishore Mishra


A new technique for the calculation of the permeability of an Omega unit cell is presented. In the proposed method, neuro-space mapping is used to transform the Omega unit cell structure to a split-ring resonator (SRR) structure using a functional link artificial neural network (FLANN), taking the dimensions of the Omega unit cell as the inputs and giving the dimensions of the equivalent SRR as the output. The permeability of the Omega-shaped SRR is then calculated using a formula derived by the Lorentz method with these mapped dimensions. The functional linked artificial neural network-space mapping technique is then used to find an SRR equivalent to the Omega unit cell. In the SM part, the FLANN is used as the coarse model and the CST engine as the fine model. The permeability of the Omega unit cell and the SRR match well over the range of 3.5 GHz to 6 GHz when using a learning rate of 0.002 and a tolerance value < 0.05.


FLANN LHM Metamaterial \(\varOmega\) unit cell Space mapping SRR 



The authors would like to acknowledge the college authority of the National Institute of Technology, Rourkela, India for various types of financial support during this research work.


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© Springer Science+Business Media, LLC, part of Springer Nature 2019

Authors and Affiliations

  1. 1.Department of Electrical EngineeringNIT RourkelaRourkelaIndia
  2. 2.Department of Electronic ScienceBerhampur UniversityBerhampurIndia

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