  We investigate the magnetic hysteresis of a superconducting microstrip
resonator with a high edge barrier. We measure the magnetic hysteresis while
either sweeping a magnetic field or tuning the edge barrier by high microwave
current. We show that the magnetic hysteresis of such a device is qualitatively
different from that of one without an edge barrier and can be understood based
on the generalized critical-state model. In particular, we propose and
demonstrate a simple and intuitive method that relies on a plot of the quality
factor versus the resonance frequency for revealing the physical processes
behind those hysteretic behaviors. Based on this, we find that the interplay
between the Meisser current and vortex pinning is essential for understanding
the magnetic hysteresis of such a device.
