The resonant spectra of light reflected and transmitted by a heterostr
ucture with a finite system of equidistant quantum wells have been cal
culated. Recurrence relations have been derived connecting the amplitu
de reflection coefficients from N and N - 2 quantum wells, and analyti
cal properties of the reflection coefficient as a function of the comp
lex frequency omega have been established. A method has been proposed
which allows one to find complex frequencies of coupled exciton-photon
nonstationary modes, or exciton-polaritons. It has been shown that th
e resonant Bragg structures represent a particular case where among N
eigenmodes only one is radiative.