We analyze the infrared reflectivity of La1.85Sr0.15CuO4 single crysta
ls with E parallel to the c-axis. The plasma edge at around 6 meV (50
cm(-1)), which occurs only for T < T-c, is due to Cooper-pair tunnelin
g. This low value of the plasma edge is shown to be consistent with th
e c-axis plasma frequency obtained from LDA band structure calculation
s (> 0.1 eV) if we take into account that the single-particle charge t
ransport along the c-axis is strongly incoherent in the normal state,
and remains so in the superconducting state. From a comparison of the
optical conductivity with model calculations based on s- and d-wave we
ak-coupling theory in the dirty limit, we find no evidence for a reduc
tion of the c-axis quasi-particle scattering rate below T-c. The c-axi
s scattering rate, the normal-state c-axis plasma frequency, and T-c o
bey h gamma > h nu(p) >> 3.5k(B)T(c), which is exactly opposite to the
clean limit.