Combinatorial Deposition of La$_{2-x}$Ba$_x$CuO$_4$ Thin Films Across the x=1/8 Anomaly

La$_{2-x}$Ba$_x$CuO$_4$ (LBCO) has an unusual phase diagram that includes a charge stripe phase in proximity to suppressed superconductivity near x=1/8 doping. We will present recent improvements to LBCO thin films grown by pulsed laser deposition from high-quality metalorganic-synthesized ceramics. Using a combination of Ba-poor and Ba-rich deposition sources and a combinatorial pulsed laser deposition technique, we are able to tune doping of LBCO and measure the superconducting transition temperature as a function of doping. We correlate the spatial offset between deposition plume and substrate with the resultant sample's dopant distribution. Characterization of these films by a high-throughput resistance technique and use of the samples in ongoing experiments will be discussed.