Applied Optics, Vol. 51, No. 6, Pages 726-734, 20 February 2012

Thermal–Structural Modelling of Polymer Bragg Grating Wave-guides Illuminated by a Light Emitting Diode

Kyoung Joon Kim1,*,Avram Bar-Cohen2, Bongtae Han2

1 Department of Mechanical and Automotive Engineering, Pukyong National University, Busan, 608-739, South Korea
2 Department of Mechanical Engineering, University of Maryland, College Park, Maryland 20742, USA
* Corresponding author:


This study reports both analytical and numerical thermal–structural models of polymer Bragg grating (PBG) wave-guides illuminated by a light emitting diode (LED). A polymethyl methacrylate (PMMA) Bragg grating (BG) wave-guide is chosen as an analysis vehicle to explore parametric effects of incident optical powers and substrate materials on the thermal–structural behaviour of the BG. Analytical models are verified by comparing analytically predicted average excess temperatures, and thermally induced axial strains and stresses with numerical predictions. A parametric study demonstrates that the PMMA substrate induces more adverse effects, such as higher excess temperatures, complex axial temperature profiles, and greater and more complicated thermally induced strains in the BG compared with the Si substrate.

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