The SBS threshold of a fiber with Brillouin frequency shift distributi
on along its length is investigated theoretically and experimentally.
We obtain a simple equation for estimating the SBS threshold from the
effective gain coefficient, which is calculated by using the Brillouin
frequency distribution along its length. The dopant concentration dep
endence of the Brillouin frequency shift are measured for fibers with
an F and GeO2 codoped silica core. The evaluated frequency shift per u
nit of dopant concentration is 277 MHz/wt% and 45 MHz/wt% for F and Ge
O2, respectively, at 1.55 mu m. The SBS threshold of a fiber with a no
nuniform Brillouin frequency shift distribution prepared by the VAD me
thod is investigated experimentally, The fiber exhibits 7 dB improveme
nt in its SBS threshold. This value is in good agreement with one esti
mated by calculating the effective gain coefficient. This simple equat
ion will be useful for estimating the SBS threshold of various fibers.