A fully concatenated thermo-optical model is presented to predict the thermo-optical behavior of an intrinsically heated polymer fiber Bragg grating (PFBG). Coupled-mode theory and heat-conduction theory are first used to determine the axial heat generation and temperature distribution of a PFBG and the transfer matrix method (TMM) is subsequently employed to predict its thermo-optical behavior. The validity of the TMM is corroborated experimentally using an externally heated glass fiber Bragg grating (FBG) with an axially decaying temperature field. The verified model is utilized to investigate the thermo-optical behavior of a poly(methyl methacrylate) (PMMA) FBG. The counteracting thermally driven changes in the refractive index and the grating pitch, respectively, are found to be of comparable magnitude and to result in very modest net shifts in the Bragg wavelengths despite the considerable temperature changes induced by the absorption of the incident light.
© 2007 Optical Society of America
Diffraction and Gratings
Original Manuscript: September 6, 2006
Revised Manuscript: February 4, 2007
Manuscript Accepted: February 13, 2007
Published: June 20, 2007
Kyoung Joon Kim, Avram Bar-Cohen, and Bongtae Han, "Thermo-optical modeling of an intrinsically heated polymer fiber Bragg grating," Appl. Opt. 46, 4357-4370 (2007)