## Abstract

The direct problem of light scattering for a fiber optic Bragg grating is considered. The formulation and solution of the problem based on the transfer-matrix method are discussed. A modification of the method is proposed which reduces it to a computationally convenient universal recursive algorithm similar to the Thomas algorithm. Using the finite volume method in the coupled-mode approximation, the elements of transfer matrices were calculated with local third-order accuracy in coordinate on a nonuniform computational grid. Numerical calculations for the direct scattering problem for a Bragg grating with apodization and nonlinear chirp were performed using the recursive algorithm. Numerical simulations confirmed the significant increase in the accuracy of calculations when solving the scattering problem on a nonuniform grid.

Original language | English |
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Pages (from-to) | 32-40 |

Number of pages | 9 |

Journal | Optoelectronics, Instrumentation and Data Processing |

Volume | 55 |

Issue number | 1 |

DOIs | |

Publication status | Published - 1 Jan 2019 |

## Keywords

- fiber Bragg grating
- nonuniform grid
- recursive algorithm
- scattering problem
- transfer-matrix method