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A method to accurately measure the density of Rb vapor is described. We planon using this method for the Advanced Wakefield (AWAKE)~\cite{bib:awake}project at CERN , which will be the world's first proton driven plasmawakefield experiment. The method is similar to the hook~\cite{bib:Hook} methodand has been described in great detail in the work by W. Tendell Hill et.al.~\cite{bib:densitymeter}. In this method a cosine fit is applied to theinterferogram to obtain a relative accuracy on the order of $1\%$ for the vapordensity-length product. A single-mode, fiber-based, Mach-Zenhder interferometerwill be built and used near the ends of the 10 meter-long AWAKE plasma sourceto be able to make accurate relative density measurement between these twolocations. This can then be used to infer the vapor density gradient along theAWAKE plasma source and also change it to the value desired for the plasmawakefield experiment. Here we describe the plan in detail and show preliminaryresults obtained using a prototype 8 cm long novel Rb vapor cell.

An accurate Rb density measurement method for a plasma wakefield accelerator experiment using a novel Rb reservoir