This paper deals with electromagnetically induced transparency (EIT),
i.e., a significant suppression of absorption at a material transition
(in the form of a dip in an absorption spectrum), due to a strong las
er field, coupling the excited level with an auxiliary excited (unpopu
lated) level. A comprehensive theory of EIT is developed for the cases
of coherent and Markovian phase-and amplitude-phase-fluctuating coupl
ing fields. For a coherent coupling field, a shift of the absorption m
inimum from the two-photon resonance is revealed in the off-resonance
case. Two models of amplitude-phase fluctuating fields are considered:
the chaotic field and the uncorrelated-jump field. Closed analytical
expressions for EIT line shape are derived and exact Limits of differe
nt regimes of EIT an obtained, the emphasis being on the near-resonanc
e case, The main conclusion is that an amplitude-phase-fluctuating fie
ld can induce significant transparency, though reduced in comparison t
o a phase-fluctuating field of the same average intensity and bandwidt
h. EIT decreases with the increase of the bandwidth for all stochastic
models considered. EIT with a chaotic field is generally less pronoun
ced than EIT with an uncorrelated-jump field of the same intensity and
bandwidth, the difference increasing with the field intensity. The po
ssibility of experimental verification of the results obtained is disc
ussed.