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We present a method to reconstruct the longitudinal profile of electrons inshowers using Cherenkov telescopes. We show how the Cherenkov light collectedby an array of telescopes can be transformed into the number of electrons as afunction of atmospheric depth. This method is validated using air shower andsimplified telescope simulations. The reconstruction of the depth in which theshower has the maximum number of electrons ($\mathrm{X_{max}}$) opens thepossibility of cosmic ray composition studies with Cherenkov telescopes in theenergy range from 10 to 100 TeV. A resolution of less than 16$\mathrm{g/cm^{2}}$ in the $\mathrm{X_{max}}$ reconstruction is obtained.

Cosmic-ray measurements with an array of Cherenkov telescopes using reconstruction of longitudinal profiles of air showers