Newton–Krylov Subspace Method to Study Structure Parameter Optimization in Rib Waveguide Communication

  • Sucharita BhattacharyyaEmail author
  • Anup Kumar Thander
Conference paper
Part of the Lecture Notes in Networks and Systems book series (LNNS, volume 11)


In this paper, we accomplish a comprehensive study of optical waveguide modeling incorporating modal index concept in refractive index profile for two specific rib waveguide structures using fourth-order finite difference method in combination with Newton–Krylov subspace algorithm. The numerical results verify the behavior of this higher order compact (HOC) approximations for stability and convergence with least computational time. Obtained results for normalized indices and modal indices are compared with other methods to verify the accuracy and efficiency of the simple scheme used. Also variations of these indices with waveguide structure parameters help to identify their optimized values for efficient wave propagation which are found to be material dependent.


Optical waveguide Finite difference method Newton–Krylov subspace algorithm Higher order compact Structure parameter optimization 



The authors are very grateful to University Grants Commission (Grant No. F.PSW-180/13-14(ERO)), Govt. of India for providing the necessary research fund to carry out this research work and to the JIS Group Educational Initiatives to provide the necessary infrastructure.


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© Springer Nature Singapore Pte Ltd. 2018

Authors and Affiliations

  1. 1.Department of Applied Science and HumanitiesGuru Nanak Institute of TechnologyKolkataIndia

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