Calculation of Light Scattering on a Bragg Grating by Recursion of Transfer Matrices on a Nonuniform Grid

Research output: Contribution to journalArticlepeer-review

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 languageEnglish
Pages (from-to)32-40
Number of pages9
JournalOptoelectronics, Instrumentation and Data Processing
Volume55
Issue number1
DOIs
Publication statusPublished - 1 Jan 2019

Keywords

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

Fingerprint Dive into the research topics of 'Calculation of Light Scattering on a Bragg Grating by Recursion of Transfer Matrices on a Nonuniform Grid'. Together they form a unique fingerprint.

Cite this