Fiber Bragg gratings as transient thermal gradient sensors
We experimentally subject a fiber Bragg grating to an unknown, variable temperature gradient. We use the full-spectral response of the grating to determine the magnitude of the gradient over the length of the grating via the full width at quarter maximum bandwidth. The experimental bandwidth and spe...
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          | Published in | Optical engineering Vol. 55; no. 11; p. 114102 | 
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| Main Authors | , , , , | 
| Format | Journal Article | 
| Language | English | 
| Published | 
            Society of Photo-Optical Instrumentation Engineers
    
        01.11.2016
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| Subjects | |
| Online Access | Get full text | 
| ISSN | 0091-3286 1560-2303  | 
| DOI | 10.1117/1.OE.55.11.114102 | 
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| Abstract | We experimentally subject a fiber Bragg grating to an unknown, variable temperature gradient. We use the full-spectral response of the grating to determine the magnitude of the gradient over the length of the grating via the full width at quarter maximum bandwidth. The experimental bandwidth and spectrum deformation were compared with a numerical model consisting of an analytical heat transfer model, a finite element analysis model, and the transfer matrix (T-matrix) method. The numerical model showed excellent agreement with the experimental results when the T-matrix method was modified to include the slope of the gradient in addition to the magnitude of the gradient. | 
    
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| AbstractList | We experimentally subject a fiber Bragg grating to an unknown, variable temperature gradient. We use the full-spectral response of the grating to determine the magnitude of the gradient over the length of the grating via the full width at quarter maximum bandwidth. The experimental bandwidth and spectrum deformation were compared with a numerical model consisting of an analytical heat transfer model, a finite element analysis model, and the transfer matrix (T-matrix) method. The numerical model showed excellent agreement with the experimental results when the T-matrix method was modified to include the slope of the gradient in addition to the magnitude of the gradient. | 
    
| Author | Costa, Joannes M Hackney, Drew A Moslehi, Behzad Black, Richard J Peters, Kara J  | 
    
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| Cites_doi | 10.1364/OL.19.002027 10.1063/1.124085 10.1117/12.2057942 10.1088/0964-1726/10/2/321 10.1177/1099636207064457 10.1109/68.769730 10.1117/12.862227 10.1117/1.1382642 10.1117/12.672853 10.1364/AO.26.003474 10.1177/1045389X11414220 10.1109/JLT.2004.833281 10.1016/S0266-3538(01)00037-9  | 
    
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| Keywords | temperature gradient transfer matrix method fiber Bragg grating full spectrum  | 
    
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| References | Leviton, D. B.; Frey, J. F. 2006; 6273 Rogers, J. A. 1999; 74 Kuang, K. S. C. 2001; 10 Kuang, K. S. C. 2001; 61 Yamada, M.; Sakuda, K. 1987; 26 Minakuchi, S.; Okabe, Y.; Takeda, N. 2007; 9 Prabhugoud, M.; Peters, K. 2004; 22 Black, R. J.; Moslehi, B. 2010; 7817 Eggleton, B. J. 1999; 11 Hill, P. C.; Eggleton, B. J. 1994; 11 Hackney, D.; Peters, K. 2011; 22 Chen, Z. 2001; 40 Black, R. J. 2014; 9062 Black, R. J. 2016; 55 Lauzon, J. 1994; 19 r2 r3 r4 r5 r6 r7 r8 Touloukian (r17) 1977 Little (r9) 2013 Hackney (r15) 2015 r20 r12 r11 Costa (r10) 2012 r14 Bejan (r16) 1993 r13 r18 r19 r1  | 
    
| References_xml | – volume: 19 start-page: 2027 issn: 0146-9592 year: 1994 end-page: 2029 article-title: Implementation and characterization of fiber Bragg gratings linearly chirped by temperature gradient publication-title: Opt. Lett. doi: 10.1364/OL.19.002027 – volume: 74 start-page: 3131 issn: 0003-6951 year: 1999 end-page: 3133 article-title: Distributed on-fiber thin film heaters for Bragg gratings with adjustable chirp publication-title: Appl. Phys. Lett. doi: 10.1063/1.124085 – volume: 9062 start-page: 906204 year: 2014 article-title: Fiber optic temperature profiling for thermal protection heat shields publication-title: Proc. SPIE doi: 10.1117/12.2057942 – volume: 10 start-page: 338 issn: 0964-1726 year: 2001 end-page: 346 article-title: Residual strain measurement and impact response of optical fiber Bragg grating sensors in fibre metal laminates publication-title: Smart Mater. Struct. doi: 10.1088/0964-1726/10/2/321 – volume: 9 start-page: 9 year: 2007 end-page: 33 article-title: Real-time detection of debonding between honeycomb core and facesheet using a small diameter FBG sensor embedded in adhesive layer publication-title: J. Sandwich Struct. Mater. doi: 10.1177/1099636207064457 – volume: 11 start-page: 854 issn: 1041-1135 year: 1999 end-page: 856 article-title: Electrically tunable power efficient dispersion compensating fiber Bragg grating publication-title: IEEE Photonics Technol. Lett. doi: 10.1109/68.769730 – volume: 55 start-page: 114101 issue: 11 year: 2016 article-title: Fiber optic temperature profiling for TPS heat shields publication-title: Opt. Eng. doi: 10.1117/12.2057942 – volume: 7817 start-page: 78170L year: 2010 article-title: Advanced end-to-end fiber optic sensing systems for demanding environments publication-title: Proc. SPIE doi: 10.1117/12.862227 – volume: 40 start-page: 1156 year: 2001 end-page: 1157 article-title: Tunable chirped fiber Bragg gratings by a distributed heater publication-title: Opt. Eng. doi: 10.1117/1.1382642 – volume: 11 start-page: 854 issn: 1041-1135 year: 1994 end-page: 856 article-title: Electrically tunable power efficient dispersion compensating fiber Bragg grating publication-title: IEEE Photonics Technol. Lett. doi: 10.1109/68.769730 – volume: 6273 start-page: 62732K issn: 0277-786X year: 2006 article-title: Temperature-dependent absolute refractive index measurements of synthetic fused silica publication-title: Proc. SPIE doi: 10.1117/12.672853 – volume: 26 start-page: 3474 issn: 0003-6935 year: 1987 end-page: 3478 article-title: Analysis of almost-periodic distributed feedback slab waveguides via a fundamental matrix approach publication-title: Appl. Opt. doi: 10.1364/AO.26.003474 – volume: 22 start-page: 1305 issn: 1045-389X year: 2011 end-page: 1316 article-title: Damage identification after impact in sandwich composites through embedded fiber Bragg sensors publication-title: J. Intell. Mater. Syst. Struct. doi: 10.1177/1045389X11414220 – volume: 22 start-page: 2302 issn: 0733-8724 year: 2004 end-page: 2309 article-title: Modified transfer matrix formulation for Bragg grating strain sensors publication-title: J. Lightwave Technol. doi: 10.1109/JLT.2004.833281 – volume: 61 start-page: 1379 issn: 0266-3538 year: 2001 end-page: 1387 article-title: Embedded fibre Bragg grating sensors in advanced composite materials publication-title: Compos. Sci. Technol. doi: 10.1016/S0266-3538(01)00037-9 – ident: r4 doi: 10.1177/1099636207064457 – ident: r5 doi: 10.1177/1045389X11414220 – ident: r14 doi: 10.1063/1.124085 – ident: r2 doi: 10.1088/0964-1726/10/2/321 – ident: r20 doi: 10.1117/12.672853 – ident: r7 doi: 10.1117/12.2057942 – ident: r12 doi: 10.1117/1.1382642 – ident: r3 doi: 10.1016/S0266-3538(01)00037-9 – year: 2015 ident: r15 article-title: Characterization of fiber Bragg gratings as thermal sensors in complex environments – year: 1977 ident: r17 – ident: r18 doi: 10.1364/AO.26.003474 – ident: r19 doi: 10.1109/JLT.2004.833281 – ident: r11 doi: 10.1364/OL.19.002027 – ident: r6 doi: 10.1117/12.862227 – ident: r8 doi: 10.1117/12.2057942 – year: 2012 ident: r10 article-title: Advances in high temperature fiber optic sensors for turbine engine applications – ident: r13 doi: 10.1109/68.769730 – year: 1993 ident: r16 – ident: r1 doi: 10.1109/68.769730 – year: 2013 ident: r9 article-title: The Mars Science Laboratory (MSL) entry, descent and landing instrumentation (MEDLI): hardware performance and data reconstruction  | 
    
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| Title | Fiber Bragg gratings as transient thermal gradient sensors | 
    
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