A target for a radiation source of invasive electromagnetic radiation has at least one target element, which is configured to generate invasive electromagnetic radiation when irradiated with particles and is coupled to a substrate arrangement for dissipating heat out of the target element, wherein: the target element has a peripheral surface which forms a first part of the outer surface of the target element; the outer surface of the target element is also formed by a side surface of the target element; an extension of the side surface defines a thickness (D) of the target element; a peripheral line of the side surface forms a borderline of the peripheral surface; the target has an end face, as part whereof the side surface of the target element is exposed for irradiation with particles; and the substrate arrangement is in contact with the peripheral surface.