way of example the heat conducting elements 83 can consist of metal such as aluminum or steel of ceramic or of sapphire the heat conducting elements hold the transmitted light converter element 14 and are therefore in direct and also thermal contact therewith moreover as shown in fig9 the heat conducting elements 83 are guided out of the holder 82 and can emit heat to the surroundings and or be connected to a cooling body at their guided out regions 84 moreover the guided out regions 84 are suitable for attaching the converter apparatus 81 fig1 shows as a sectional illustration and in a side view a remote phosphor converter apparatus 91 in accordance with an eighth exemplary embodiment in this converter apparatus 91 there is no optical fiber for transmitting light from a semiconductor light source to the transmitted light converter element 14 rather a semiconductor light source here in the form of a laser 93 in particular a laser diode is inserted into the holder 92 and held by the latter the laser 93 radiates primary light onto an optical transmitted light element which is in the form of a lens 94 and held in the holder 92 the lens 94 focuses the primary light onto the transmitted light converter element 14 in accordance.