An optical element for controlling light propagation including: transparent material; and inorganic fine particles dispersed in the transparent material, wherein the transparent material and the inorganic fine particles meet at least one of following a) and b): a) a rate of change of a refractive index of the transparent material with temperature and a rate of change of a refractive index of the inorganic fine particles with temperature are opposite in sign; b) a thermal expansion coefficient of the transparent material and a thermal expansion coefficient of the inorganic fine particles are opposite in sign.