Precision Optics Optimization for GMp Experiment

The GMp experiment aims to improve the precision on the elastic e-p cross section measurement to 2{\%}; up to a factor of 5 better than previous measurements, with four-momentum transfer up to 14 $GeV^{2}$ using the High Resolution Spectrometers (HRS) of Hall A at Jefferson Lab. These measurements will be an important benchmark for many other cross section measurements in hadron physics. To reach this goal, it is necessary to improve the precision of many instrument systems. Knowledge of the magnetic optics of HRS is critically important for precision reconstruction of the momentum and coordinates of the scattered particles at the interaction vertex. In this talk, an improved optimization method for optics will be presented in detail and the results of a study based on recent commissioning data in 2014 will be discussed.