A transmission diffractive optical element formed of quartz for a wavelength of 0.8 μm band, wherein a refractive index of the quartz is n, a wavelength of light entering a diffraction grating is λ (nm), a pitch of the diffraction grating is p (nm), a depth of the diffraction grating is D (μm), and a duty ratio in which a width of the diffraction grating is divided by the pitch is α, wherein the pitch and the depth and the duty ratio of the diffraction grating satisfy a predetermined condition for acquiring high diffraction efficiency.