  Localized states in one-dimensional open disordered systems and their
connection to the internal structure of random samples have been studied. It is
shown that the localization of energy and anomalously high transmission
associated with these states are due to the existence inside the sample of a
transparent (for a given resonant frequency) segment with the minimal size of
order of the localization length. A mapping of the stochastic scattering
problem in hand onto a deterministic quantum problem is developed. It is shown
that there is no one-to-one correspondence between the localization and high
transparency: only small part of localized modes provides the transmission
coefficient close to one. The maximal transmission is provided by the modes
that are localized in the center, while the highest energy concentration takes
place in cavities shifted towards the input. An algorithm is proposed to
estimate the position of an effective resonant cavity and its pumping rate by
measuring the resonant transmission coefficient. The validity of the analytical
results have been checked by extensive numerical simulations and wavelet
analysis.
