Abstract
In strong-coupling superconductors with a short electron mean free path the self-energy effects in the superconducting order parameter play a major role in the phonon manifestation of the point-contact spectra at the above-gap energies. We derive asymptotic expressions for the nonlinear conductivity of tunnel, ballistic, and diffusive point contacts in the case $\mathrm{eV}\ensuremath{\gg}\ensuremath{\Delta},$ and show that these expressions not only qualitatively, but also semiquantitatively correspond to the measurements of the phonon structure in the point-contact spectra for the $\ensuremath{\pi}$ band of ${\mathrm{MgB}}_{2}$ thin films.
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