The excitonic and photonic states in distributed feedback (DFB) microcaviti
es may strongly couple to form DFB cavity polaritons, provided that exciton
ic oscillator strength is large enough. In this paper we theoretically anal
yse the optical properties of DFB microcavities related to polariton effect
. A numerical method based on scattering matrix formalism has been develope
d to solve the Maxwell's equations for layered system with periodical patte
rning of layers. To incorporate polaritonic effect in our model we included
the exciton poles in dielectric susceptibility of one of the patterned lay
ers. Using this method we reproduce the characteristic features, demonstrat
ed in recent experiments [Fujita et al.: Phys. Rev. B 57 (1998) 12428], suc
h as anticrossing behavior of transmission dips in vicinity of the excitoni
c resonance and strong polarization dependence of their position and depth.