To achieve smooth beam injection in operation of synchrotron radiation facilities, pulsed multipole magnet beam injectors are developed. It is found that the developed beam injector causes serious disturbance in the circulating storage beam in the Aichi synchrotron radiation center, and that such the unexpected disturbance of the storage beam may be caused by eddy current induced on thin titanium coating inside a beam duct. In this work, the induced eddy current on the titanium layer is evaluated quantitatively by numerical simulations and improvement for the developed beam injector is discussed based on the numerical simulation.