  We theoretically study the local density of states in superconducting
proximity structure where two superconducting terminals are attached to a side
surface of a normal-metal wire. Using the quasiclassical Green's function
method, the energy spectrum is obtained for both of spin-singlet $s$-wave and
spin-triplet $p$-wave junctions. In both of the cases, the decay length of the
proximity effect at the zero temperature is limited by a depairing effect due
to inelastic scatterings. In addition to the depairing effect, in $p$-wave
junctions, the decay length depends sensitively on the transparency at the
junction interfaces, which is a unique property to odd-parity superconductors
where the anomalous proximity effect occurs.
