The Frequency Selective Surface is the key component in the Quasi-Optic instru- ment for feeding large reflector antennas, because of that beams from horns in different frequency band can be combined on a sharing feeding aperture. The aberration to the transmitted beam through FSS is an important problem in fabricating a multi-band QO feed, and must be evaluated in the design stage. Recently, an efficient anticipation method was reported, which can be used to predict the tangential beam shift caused by the FSS and one FSS design is considered. In this paper, we will further discuss the longitude transmitted beam shift anticipation, and consider another FSS structure to show that method can be universal to different FSS structural types.