In 1987, L’Huillier started to pump output from infrared lasers into noble gases (gases that are chemically inert). If you hold down the halfway point on a sitar string, you create two overtones, which are exact divisions of the tone you get from the open string. The mathematics of electromagnetic overtones is similar to that of musical overtones. The infrared light split into overtones – that is, into separate waves that were sub-multiples of the laser’s wavelength.
This happened because the laser imparted a kick of extra energy to electrons in the gas, and those electrons subsequently released the extra energy as flashes. (This light is not necessarily visible.) The energy in light is related to the wavelength of the light. The shorter the wavelength, the higher the energy. The overtones are some sub-multiple of the laser’s wavelength, and hence, shorter wavelength, and therefore, higher energy.