Pioneering Raman Transition Techniques in Collinear Laser Spectroscopy for High-Precision Experiments

This work provides new calculations and simulations on driving Raman transitions with two different lasers on a fast ion beam in collinear/anticollinear geometry. Simulations include ion energy distributions and spatial intensity distributions. First experimental results in the $mathrm{S}_{1/2}$-$mathrm{P}_{3/2}$-$mathrm{D}_{3/2}$ and $mathrm{S}_{1/2}$-$mathrm{P}_{3/2}$-$mathrm{D}_{5/2}$ $Lambda$-schemes of $^{88}$Sr$^+$ are presented. A newly developed Doppler-free double Raman scheme is used to measure the $mathrm{D}_{3/2}rightarrowmathrm{D}_{5/2}$ transition. The measurements performed in this work investigate the systematic uncertainties of this method as well as its experimental limitations and will demonstrate the feasibility and the advances of this approach.