This work focuses on the study and implementation of a new technique of deceleration of a supersonic beam of paramagnetic particles using a co-moving progressive wave of magnetic field. This technique relies on a method of slowing based on Stern-Gerlach forces acting on a paramagnetic system in motion in the presence of a co-propagating magnetic field. This highly innovative approach has the advantage of being applicable to a wide range of species and opens up new opportunities. A suitable theoretical approach is followed, that allows for a direct link between theory, programming of experimental parameters, and experimental results in a systematic, rational and predictive manner.This thesis is composed of three parts. The first concerns the calculation of the various Stern Gerlach forces used in our experiments to decelerate the paramagnetic particles. Formulas established in this section are essential for the interpretation of experimental results. The second part is devoted to the experimental device: the creation of the cooled supersonic beam, interaction zone and detection. A separate chapter is devoted to the detailed description of the different setups of coils used to create the magnetic fields necessary to guide and to decelerate the particles of the beam.The third part is devoted to the experimental results and their direct interpretation using the equations of motion in Stern Gerlach forces. Simulations are presented to embody the interpretations. We present results about the deceleration of metastable argon and neon atoms. These results validate the significance of the addition of a uniform magnetic field defining a global adiabatic quantization axis for all the particles in the beam. This realizes the decoupling between the precession of the magnetic moments and Stern Gerlach forces. The results demonstrate the polarization effect of the beam that depends on the direction of the added uniform magnetic field relative to the progressive wave of the magnetic field.Finally, the understanding and control of the dynamics of trapping at a given speed, acceleration and deceleration require decoupling between the transverse and longitudinal effects of the wave. These effects are clearly visible when the added uniform magnetic field limits the transverse effects of the progressive wave of magnetic field. The outlooks for the new Zeeman Stern Gerlach decelerator are numerous. A first result of trapping di-nitrogen metastable at 560m/s is presented and the road is open to decelerate paramagnetic molecules in pulsed supersonic jet. Deceleration free radicals and neutrons are also possible.
