A device for cooling locally, including a cooling member, a crystal having the capacity to cool via absorption of a near-infrared exciting light signal, an illuminating system intended to deliver an exciting light signal, the crystal having an elongate shape about a longitudinal axis between a near end and a far end and having a closed constant outside cross section and containing a central channel formed, from its far end, over at least some of its length, the cooling member including a rod embedded via a first end into the central channel of the crystal and including a protruding second end that forms a cooling finger.