A 3.9-meter-long elliptically polarizing undulator recently has been design
ed, constructed, and installed in the storage ring at Synchrotron Radiation
Research Center (SRRC) to provide an ultra-brilliant polarizing light sour
ce in the soft X-ray range. This undulator is the longest such polarizing d
evice ever constructed, accounting for why its backing beams withstand an e
normous magnetic force. Conventional deflection compensation scheme cannot
be applied to improve the spectral performance owing to dependence of the m
agnetic loading on the device's operating modes. This study systematically
studies how magnetic loading affects the magnetic field errors of this elli
ptically polarizing undulator, including numerical calculations and experim
ental measurements. Ultimately improving the spectral performance of an ell
iptically polarizing undulator depends on effectively minimizing the deflec
tion sensitivity of the backing beams from the backlash of movable magnetic
arrays.