Nonlinear Schrödinger Equation-Based Adjoint Sensitivity Analysis

Authors

  • Mahmoud M. T. Maghrabi Department of Electrical and Computer Engineering McMaster University, Hamilton, Ontario L8S 4K1, Canada
  • Mohamed H. Bakr Department of Electrical and Computer Engineering McMaster University, Hamilton, Ontario L8S 4K1, Canada
  • Shiva Kumar Department of Electrical and Computer Engineering McMaster University, Hamilton, Ontario L8S 4K1, Canada

Keywords:

adjoint sensitivity analysis (ASA)

Abstract

A general nonlinear adjoint sensitivity analysis (ASA) approach for the time-dependent nonlinear Schrödinger equation (NLSE) is presented. The proposed algorithm estimates the sensitivities of a desired objective function with respect to all design parameters using only one extra adjoint system simulation. The approach efficiency is shown here through a numerical example.

References

S. Kumar and M. J. Deen. Fiber Optic Communications: Fundamentals and Applications. John Wiley & Sons, May 2014.

M. M. T. Maghrabi, S. Kumar, and M. H. Bakr, “Nonlinear neural network equalizer for metro optical fiber communication systems,” The Applied Computational Electromagnetics Society (ACES) Journal, vol. 33, no. 10, pp. 1159-1160, Oct. 2018.

M. Bakr, A. Elsherbeni, and Veysel Demir. Adjoint Sensitivity Analysis of High Frequency Structures with Matlab. The Institution of Engineering and Technology (IET), 2017.

L. S. Kalantari and M. H. Bakr, “Optical cloak design exploiting efficient anisotropic adjoint sensitivity analysis,” The Applied Computational Electromagnetics Society (ACES) Journal, vol. 32, no. 5, pp. 1159-1160, May 2017.

M. A. Ayad, S. S. A. Obayya, and M. A. Swillam, “Modelling of quantum confinement in optical nanostructures,” Journal of Optics, vol. 18, no. 1, p. 015201, Nov. 2015.

M. M. T. Maghrabi, M. H. Bakr, and S. Kumar, “Linear adjoint sensitivity analysis of the timedependent Schrödinger equation,” In 2019 International Applied Computational Electromagnetics Society Symposium (ACES), pp. 1-2, Miami, Florida, USA, Apr. 2019.

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Published

2020-11-07

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Articles