Modified transfer matrix model for Bragg grating strain sensors

Mohanraj Prabhugoud; Apninder Gill; Kara Peters

doi:10.1117/12.539789

27 July 2004 Modified transfer matrix model for Bragg grating strain sensors

Mohanraj Prabhugoud, Apninder Gill, Kara Peters

Proceedings Volume 5384, Smart Structures and Materials 2004: Smart Sensor Technology and Measurement Systems; (2004) https://doi.org/10.1117/12.539789
Event: Smart Structures and Materials, 2004, San Diego, CA, United States

Abstract

Optical fiber Bragg gratings are unique among strain sensors due to their potential to measure strain distributions over gage lengths of a few centimeters with a spatial resolution of a few nanometers. The application of these sensors requires modeling of the grating output spectrum due to an applied axial strain profile. The most computationally efficient method for this calculation is the transfer-matrix model (T-matrix) derived originally for chirped gratings. This approach models a grating with varying properties as a series of smaller grating segments with constant parameters. Huang and colleagues first applied the T-matrix approach to model the inverse problem of a grating subjected to non-uniform strain by varying the period of each segment. The current work shows that, in the presence of strain gradients, this approach does not converge to the numerical solution of the grating coupled mode equations in the limit of a large number of segments. A modified T-matrix representation is then derived for the sensor problem and is shown to approach the coupled mode solutions for a large number of segments. Finally, the application of the modified T-matrix model to Bragg grating sensors is outlined, including inversion of the grating spectrum via a genetic algorithm.

Citation Download Citation

Mohanraj Prabhugoud, Apninder Gill, and Kara Peters "Modified transfer matrix model for Bragg grating strain sensors", Proc. SPIE 5384, Smart Structures and Materials 2004: Smart Sensor Technology and Measurement Systems, (27 July 2004); https://doi.org/10.1117/12.539789

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