The thickness of the ozone layer is measured in units called Dobson. This unit is named after Gordon Dobson, a researcher who developed one of the first instruments to measure ozone levels in the Earth's atmosphere. The Dobson Unit (DU) is a measure of the total amount of ozone in a column of air stretching from the Earth's surface to the edge of space. In essence, 1 Dobson Unit represents a layer of ozone that would be 0.01 millimeters thick under standard temperature and pressure conditions. Therefore, among the provided options, the correct unit for measuring the thickness of the ozone layer is Dobson.