O.J. Kwon^a, Chil-Min Kim^b, Eok-Kyun Lee^c,Hoyun Lee^d

^a Department of Science Education, Kongju National University of Education, Kongju, Chungnam 314-060, Korea
^b Department of Physics, Pai-Chai University, Taejon 302-735, Korea
^c Department of Chemistry, Korea Advanced Institute of Science Technology, Taejon 305-701, Korea
^d Department of Physics, Chungnam National University, Taejon 305-764, Korea

We study the effect of the reinjection probability distribution (RPD) on the scaling property of intermittency via renormalization group approach. When the lower bound of reinjection is below the tangent point, the critical exponent has the well known form of (z-1)/z independent of the RPD. On the other hand, when the lower bound of reinjection is at the tangent point, the critical exponent is (z+ gamma -2)/z if the RPD is of an algebraic form with exponent gamma and is (z-1)/z if the RPD is fixed at the tangent point. The results are confirmed by numerical simulations.