Journal of the European Optical Society - Rapid publications, Vol 8 (2013)

Method of lines solution to the transient SBS equations for nanosecond Stokes pulses

F. S. Gökhan, G. W. Griffiths, W. E. Schiesser


The spectral and temporal evolution of distributed sensing based on stimulated Brillouin scattering (SBS) in optical fibers for severalnanosecondStokes pulses is demonstrated by using the method of lines (MOL) solution of the transient SBS equations. A superbee fluxlimiter is utilized to avoid numerical damping and dispersion that would otherwise be brought on by the approximation of spatial derivativesassociated with the partial differential equations (PDEs). In order to increase computational efficiency, an approach is adopted wherebythe sparse PDE Jacobian matrix integrator option of the ODE solver(s) is employed. Simulation examples of SBS-based sensing for fiberscontaining sections with different Brillouin frequencies are presented. To the best of our knowledge, this MOL solution is proposed for thefirst time for modeling of the transient SBS equations for nanosecond Stokes pulses with different waveforms in a SBS based fiber opticsensor.

© The Authors. All rights reserved. [DOI: 10.2971/jeos.2013.13049]

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