Axial strain sensitivity analysis of long period fiber grating by new transfer matrix method

Abstract

The axial strain sensitivity of long period fiber grating (LPFG) is analyzed by new transfer matrix method. The new transfer matrix method can be used to analyze the modes coupling between the core mode and multiple cladding modes. Compared with the previous method used, such as solving the coupled mode equation by the fourth order adaptive step size Runge-Kutta algorithm, the new transfer matrix method (TMM) has a faster calculation speed. Theoretical results are excellent agreement with the method of solving the coupled mode equation (SCME).

Keywords

axial strain sensitivity / long period fiber grating (LPFG) / new transfer matrix method (TMM)

References

[1] Andermahr N, Fallnich C. Optically induced long-period fiber gratings for guided mode conversion in few-mode fibers. Optics Express, 2010, 18(5): 4411-4416

[2] Chen K, Sheng Q Q, Dong X Y. Band-rejection and band pass filters based on mechanically induced long-period fibergratings. Microwave and Optical Technology Letters, 2004, 42(1): 15-17

[3] Ni N, Chan C C, Tan K M, Tjin S C, Dong X Y. Broad-band EDFA gain flattening by using an embedded long-period fiber grating filter. Optics Communications, 2007, 271(2): 377-381

[4] Kang J, Dong X Y, Zhao C L, Qian W W, Li M C. Simultaneous measurement of strain and temperature with a long period fiber grating inscribed Sagnac interferometer. Optics Communications, 2011, 284(8): 2145-2148

[5] Venugopalan T, Sun T, Grattan K T V. Temperature characterization of long period gratings written in three different types of optical fiber for potential high temperature measurements. Sensors and Actuators A, Physical, 2010, 160(1-2): 29-34

[6] Martinez-Rios A, Monzon-Hernandez D, Torres-Gomez I. Highly sensitive cladding-etched arc-induced long period fiber gratings for refractive index sensing. Optics Communications, 2010, 283(6): 958-962

[7] Harhira A, Guay F, Daigle M, Lapointe J, Kashyap R. Long-period fiber gratings fabricated with a CO₂ laser beam and phase mask. Optics Communications, 2010, 283(23): 4633-4638

[8] Eggen C L, Lin Y S, Wei T, Xiao H. Detection of lipid bilayer membranes formed on silica by double-long period fiber grating laser refractometry. Sensors and Actuators B, Chemical, 2010, 150(2): 734-741

[9] Nam S H, Lee J, Yin S Z. Control of resonant peak depths of tunable long-period fiber gratings using over coupling. Optics Communications, 2011, 284(4): 961-964

[10] Jiang M S, Feng D J, Sui Q M. Characteristic research on mechanically induced long-period fiber gratings. Chinese Optics Letters, 2009, 7(2): 112-114

[11] Wang G D, Xie B B. Improving the performance of chirped fiber grating with cladding being etched sinusoidal function. Optik(Stuttgart), 2011, 122(6): 557-559

[12] Dong X W, Feng S C, Xu O, Lu S H, Pei L. Add/drop channel filter based on two parallel long-period fiber gratings coupler. Optik (Stuttgart), 2009, 120(16): 855-859

[13] Shao L Y, Laronche A, Smietana M, Mikulic P, Bock W J, Albert J. Highly sensitive bend sensor with hybrid long period and tilted fiber Bragg grating. Optics Communications, 2010, 283(13): 2690-2694

[14] Erdogan T. Cladding-mode resonances in short- and long-period fiber grating filters. Journal of the Optical Society of America A,1997, 14(8): 1760-1773

[15] Erdogan T. Fiber grating spectra. Journal of Lightwave Technology, 1997, 15(8): 1277-1294

Acknowledgements

This work was supported by the National Natural Science Foundation of China (Grant No. 61040016), the Open Foundation from Henan Provincial Open laboratory of Control Engineering Key Disciplines China (No. KG2009-16) and the Doctor Foundation from Henan Polytechnic University China (No. 648393).

RIGHTS & PERMISSIONS

2014 Higher Education Press and Springer-Verlag Berlin Heidelberg