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Despite several theoretical approaches describing multiple Andreevreflections (MAR) effect in superconductor-normal metal-superconductor (SNS)junction are elaborated, the problem of comprehensive and adequate descriptionof MAR is highly actual. In particular, a broadening parameter $\Gamma$ isstill unaccounted at all, whereas a ballistic condition (the mean free path forinelastic scattering $l$ to the barrier width $d$ ratio) is considered only inthe framework of K\"{u}mmel, Gunsenheimer, and Nikolsky (KGN), as well asGunsenheimer-Zaikin approaches, for an isotropic case and fully-transparentconstriction. Nonetheless, an influence of $l/d$ ratio to the dynamicconductance spectrum ($dI/dV$) features remains disregarded, thus being one ofthe aims of the current work. Our numerical calculations in the framework of anextended KGN approach develop the $l/d$ variation to determine both the numberof the Andreev features and their amplitudes in the $dI/dV$ spectrum. We show,in the spectrum of a diffusive SNS junction ($l/d \rightarrow 1$) a suppressionof the Andreev excess current, dramatic change in the current voltage$I(V)$-curve slope at low bias, with only the main harmonic at $eV=2\Delta$bias voltage remains well-distinguished in the $dI/dV$-spectrum. Additionally,we attempt to make a first-ever comparison between experimental data for thehigh-transparency SNS junctions (more than $ 85~\%$) and theoreticalpredictions. As a result, we calculate the temperature dependences ofamplitudes and areas of Andreev features within the extended KGN approach,which qualitatively agrees with our experimental data obtained using a"break-junction" technique.

Amplitudes of minima in dynamic conductance spectra of the SNS Andreev contact