As the two main ways to enhance nonlinearity in nano-structured materials, field localization and slow light effects could cooperate to exert influence on nonlinear effect enhancement together. By considering the co-influence of them, we can make use of a field averaging method to calculate the effective nonlinear refractive index coefficient ( n2 ) of Kerr photonic crystals (PhCs). In this paper, we treat the propagation of TE waves in Kerr PhCs in detail as a complementary to TM waves and calculate the effective n2 in the first band. Although TM waves and TE waves may cause different nonlinear effects in two-dimensional Kerr PhCs, it proves that our theoretical calculating method also works well for TE waves.
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