Advances in the Vacuum Magnetic Birefringence measurement using a pulsed Foil Coil

In this paper, in the framework of the {\it Biréfringence Magnétique du Vide} (BMV) experiment, we present our current apparatus in detail and we discuss its critical points. We also report the results obtained using specially designed pulsed coils called Foil Coils. Our novel measurement of the vacuum linear magnetic birefringence constant is $K_{VMB}<1.7\cdot {10}^{-21}{\text{T}}^{-2}$ at a confidence level of 68$\mathrm{\%}$, which is an improvement with respect to our previous 2014 measurement.