27 August 2003 Transfer-matrix-based simulation of fiber Bragg gratings for ITU DWDM optical networks
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Abstract
With the need for high capacity optical wavelength division multiplexing systems growing, the importance of filters to rout the signals is huge. Fiber Bragg gratings play a huge part in the filtering of signals, such as in add-drop multiplexers. In order to design communication networks, there must exist an accurate simulation package to solve the complex differential equations that govern light propagation within the fiber. Using the transfer matrix method, where the matrices for individual sections are defined using methods proposed after analysis of the grating as a periodic crystal structure gives a close approximation to the solutions of these equations. Transfer matrices must be defined for a variety of different sections in both uniform and non-uniform gratings and the overall result obtained by cascading a large number of such sections. Problems exist with the inclusion of such features as chirp and apodization, which vary upon penetration into and out of the grating. Obtaining key values from the solutions, such as reflectivity and bandwidth of the spectrum of a grating in a simulation environment will lead to a faster and better design for DWDM filters. Since no environment is perfect research into strain and temperature effects of gratings is included.
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Fionan Mc Grath, Fionan Mc Grath, Ronan F. O'Dowd, Ronan F. O'Dowd, "Transfer-matrix-based simulation of fiber Bragg gratings for ITU DWDM optical networks", Proc. SPIE 4876, Opto-Ireland 2002: Optics and Photonics Technologies and Applications, (27 August 2003); doi: 10.1117/12.464200; https://doi.org/10.1117/12.464200
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