A 21 layer AlAs/Al0.4Ga0.6As multilayer structure, designed as a Bragg reflector centered at 670 nm, has been grown by chemical beam epitaxy. The growth was monitored in real time by dynamic optical reflectivity (DOR) using a 670 nm semiconductor diode laser. The resultant DOR trace was compared to a computer simulation for the growth structure and good agreement is obtained using layer thicknesses measured by transmission electron microscopy. The wavelength dependent reflectivity of the Bragg reflector was measured using a grating spectrometer and good agreement is obtained to a computer simulation once the dispersive complex refractive index is taken into account.