  A non-resonant streaming instability driven by cosmic-ray currents, also
called Bell's instability, is proposed as a candidate for providing the
required magnetic turbulence of efficient diffusive shock accelerations. To
demonstrate the saturation level and mechanism of the non-resonant streaming
instability in a laboratory environment, we attempt to develop an experiment at
the Photo Injector Test Facility at DESY, Zeuthen site (PITZ). As an electron
beam is used to replace the proton beam to carry the cosmic-ray current in our
experiment, the polarization of the non-resonant streaming instability will be
modified from the left-handed (LH) mode to the right-handed (RH) mode. The
theoretical instability analysis shows that the growth rate of this RH
non-resonant mode may be smaller than it of the LH resonant mode. However the
LH resonant mode can be ignored in our experiment while the expected wavelength
is longer than the used plasma cell. The results of PIC simulations will also
support this contention and the occurrence of non-resonant streaming
instability in our experiment.
