Photonic structures are considered with the emphasis on dispersive mat
erials and on one-dimensionally periodic structures. The electromagnet
ic frequency bands and the corresponding field distributions are deter
mined for a GaAs/AlAs one-dimensional photonic structure and the field
quantization is established. The interaction is considered between th
e electromagnetic fields and an oscillating electric dipole located de
ep within the layers. This involves coupling to the polariton modes of
this inhomogeneous medium, with each type of mode providing a dipole
relaxation channel. Relaxation processes due to emission into the pola
riton channels are analyzed. The results are displayed in terms of the
emission rate Gamma versus the dipole position Z(0) for a fixed dipol
e frequency omega(0) and against omega(0) for a fixed Z(0). These resu
lts strongly indicate the existence of band-edge effects associated wi
th the dispersive response of the materials comprising the layered sys
tem.