Fiber bragg grating-based load sensor without temperature dependence

Limin Hu, Xinyong Dong, Shuqin Zhang, Shangzhong Jin, Yunpeng Wang, Chi Chiu Chan, Ping Shum
2012 Microwave and optical technology letters (Print)  
the two MOD methods and PLRC-FDTD method, and the IDFT of the analytic solution. All four solutions show a good agreement. CONCLUSIONS We have presented a general MOD formulation when using the FDTD technique for the transient solution of wave propagation in an arbitrary dispersive media. The time domain known and unknown coefficients for the material parameters and fields are approximated by a set of orthonormal associated Laguerre functions. Through the use of the associated Laguerre
more » ... , the time variable can be eliminated analytically from the solution procedure so that the computation methodology reduces to a simple finite difference procedure. In addition, we have successfully eliminated the explicit convolutions and the temporal derivatives analytically. We also presented a second alternate MOD formulation based on the Helmholtz wave equation. Numerical results are presented for various dispersive materials, i.e., Debye, Drude, and Lorentz models. The agreement between the solutions obtained using the two proposed MOD methods and the traditional FDTD method, and the IDFT of the frequency domain analytic solution is excellent as a function of both the spatial and the temporal variables. The proposed MOD methods can be extended to 2D and 3D formulations for dispersive media. ACKNOWLEDGMENTS
doi:10.1002/mop.26695 fatcat:4fvoqfyaazev7f2xsfx6w35wga