An illuminating arrangement comprising a radiation-emitting diode for generating radiation, a first optical element for beam shaping, a second optical element for beam shaping and an optical axis running through the radiation emitting diode, wherein - the first optical element comprises a radiation entrance surface and a radiation exit surface, - the second optical element comprises a radiation entrance surface and a radiation exit surface, - the optical axis runs through the first optical element and the second optical element, - the first optical element is designed as a lens and the second optical element is designed as a lens, - the first optical element and/or the second optical element contains a plastic, - a gas-filled gap is formed between the radiation entrance surface of the second optical element and the radiation exit surface of the first optical element, - the medium bordering the first optical element on the radiation exit side has a lower refractive index than the material of the first optical element, - the medium bordering the second optical element on the radiation entrance side has a lower refractive index than the material of the second optical element, - the radiation exit surface of the first optical element purposely refracts away from the optical axis a radiation portion of radiation generated in the radiation-emitting diode before said radiation portion enters the second optical element and - the radiation exit surface of the second optical element purposely refracts said radiation portion away from the optical axis, characterized in that - the radiation exit surface of the first optical element has a concavely curved subregion and a convexly curved subregion, wherein the convexly curved subregion laterally surrounds the concavely curved subregion, - the radiation exit surface of the second optical element has a concavely curved subregion and a convexly curved subregion, wherein the convexly curved subregion laterally surrounds the concavely curved subregion. - the first optical element comprises a radiation entrance surface and a radiation exit surface, - the second optical element comprises a radiation entrance surface and a radiation exit surface, - the optical axis runs through the first optical element and the second optical element, - the first optical element is designed as a lens and the second optical element is designed as a lens, - the first optical element and/or the second optical element contains a plastic, - a gas-filled gap is formed between the radiation entrance surface of the second optical element and the radiation exit surface of the first optical element, - the medium bordering the first optical element on the radiation exit side has a lower refractive index than the material of the first optical element, - the medium bordering the second optical element on the radiation entrance side has a lower refractive index than the material of the second optical element, - the radiation exit surface of the first optical element purposely refracts away from the optical axis a radiation portion of radiation generated in the radiation-emitting diode before said radiation portion enters the second optical element and - the radiation exit surface of the second optical element purposely refracts said radiation portion away from the optical axis, characterized in that - the radiation exit surface of the first optical element has a concavely curved subregion and a convexly curved subregion, wherein the convexly curved subregion laterally surrounds the concavely curved subregion, - the radiation exit surface of the second optical element has a concavely curved subregion and a convexly curved subregion, wherein the convexly curved subregion laterally surrounds the concavely curved subregion.