A method and arrangement for transmitting radiation emitted by LEDs operated in pulsed operation via at least one optical waveguide, wherein a first optical waveguide having first and second coupling surfaces is assigned to each LED, the first optical waveguides are in each case aligned, by their first coupling surfaces, with an assigned stationary LED, the second coupling surfaces are arranged on a closed path and a coupling surface of a second optical waveguide is assigned to the second coupling surfaces. In order that a high light power can be coupled into the second optical waveguide by means of the LEDs, it is provided that the second optical waveguide, in accordance with the clocking of the switched-on LEDs, can be aligned with the second coupling surface of a first optical waveguide from at least one switched-on LED.
