A mode hop-free tunable laser including a gain medium, a microfabricated blazed grating, defining an external cavity of a given length, the blazed grating lying in a general plane and including a plurality of elongate beams carrying mutually parallel respective reflection surfaces spaced apart from one another with a predefined pitch, and actuating elements designed so as to allow displacements of the assembly with respect to a grating support within a plane substantially parallel to the grating general plane, and including actuation elements designed so as to apply a stretching and a displacement of the assembly in a direction transverse to said reflection surfaces, the blazed grating being arranged relative to an incident light beam provided by the gain medium so that the incident light beam impinges on the reflection surfaces with a substantially normal incident angle.