Newton–Krylov Subspace Method to Study Structure Parameter Optimization in Rib Waveguide Communication
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.
KeywordsOptical 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.
- 1.Thander, A.K., Bhattacharyya, S.: Study of optical wave guide using HOC scheme. Appl. Math. Sci. 8(79), 3931–3938 (2014)Google Scholar
- 2.Bhattacharyya, S., Thander, A.K.: Optical wave guide analysis using higher order compact FDM in combination with Newton Krylov Subspace methods. In: 2015 IEEE International Conference on Research in Computational Intelligence and Communication Networks, pp. 66–71 (2015)Google Scholar
- 3.Thander, A.K., Bhattacharyya, S.: Rib wave guide propagation through modal index study using higher order compact (HOC) finite difference method (FDM). In: 2015 6th International Conferences on Computers and Devices for Communications (CODEC-2015) (2015)Google Scholar
- 4.Thander, A.K., Bhattacharyya, S.: Optical confinement study of different semi conductor rib wave guides using higher order compact finite difference method. Optik 127, 2116–2120 (2016)Google Scholar
- 5.Stern, M.S.: Semivectorial polarised finite difference method for optical waveguides with arbitrary index profiles. IEE Proceedings-Optoelectron 135(1), 56–63 (1988)Google Scholar
- 6.Soref, R.A., Schmidtchen, J., Petermann, K.: Large single-mode rib waveguides in GeSi-Si and Si-on-Sio2. IEEE J. Quantum Electron. 27(8) (1991)Google Scholar
- 7.Robertson, M.J., Ritchie, S., Dayan, P.: Semiconductor waveguides: analysis of optical propagation in single rib structures and directional couplers. IEE Proc. J. 132, 336–342 (1985)Google Scholar
- 9.Rahman, B.M.A.: Finite element analysis of optical waveguides. In: Prog. Electromagnet. Res. PIER 10, 187–216 (1995)Google Scholar