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Cascaded stimulated Brillouin scattering in high-finesse all-fibre ring resonators

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Abstract

One of the most dominant nonlinear effects in single-mode fibers is stimulated Brillouin scattering (SBS). The generation of SBS in a ring resonator can be considered as a lasing action, with the Stokes output downshifted in frequency by an amount equal to the Brillouin frequency. In the stationary case stimulated Brillouin scattering in a length of optical fiber can be described by the following partial differential equations for the slowly varying complex amplitudes of the pump wave Ep and the backscattered first order Stokes wave EB1, with the wave amplitudes Ei related to the intensities Ii by Ii = |Ei|2 (i=p,B1) [1]: (1) In a ring resonator geometry as depicted in Fig. 1 the wave amplitudes at the ports of the directional coupler obey the relations [2] (2) where Vk2 is the coupler intensity radiation loss, K is the field coupling coefficient, and T is the field transmission coefficient.

© 1992 Optical Society of America

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