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Please take a look at slide 11 of this presentation [1]. Stopping power and Bragg peak (slide 30) are also relevant concepts. What you are describing applies to photons and neutrons, but not to charged particles.

1. https://indico.cern.ch/event/975141/contributions/4137563/at...

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Well then, please read what those slides say. Then read what I wrote.

The Bragg peak is about energy deposition, not the number of particles arriving at some point. When the energy of a particle changes going through the medium, the absorption changes. Still an exponential curve, just piece-wise exponential. Look at slide 11, that cutoff. Look at the logistic formula for it and its limit going right: still an exponential.

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