Optimization of the meso-wedge superconducting sample, for a diode effect in the Meissner regime

In the present work, we study the nonreciprocal superconducting diode effect in the mesosuperconducting regime, with dimensionality [Formula: see text] (space and time) in three real dimensions, with inclusion of external current [Formula: see text] laterally in presence of an external applied constant magnetic field [Formula: see text] for a superconducting Meso-wedge geometry. We carry out the variation of two polarities for the external current ([Formula: see text], [Formula: see text]), for which we study the first critical current [Formula: see text] as a function of the external magnetic field. Additionally, we study the variation of the slope of the Meso-wedge, describing the configuration that optimizes the efficiency of the diode effect. Finally, we study the Meissner current ([Formula: see text]), the order parameter [Formula: see text], and the total current in the presence of an external current, which allows us to describe the diode effect in this geometry phenomenologically.