With proper structure, one-dimensional ~1D! binary nonperiodic dielectric multilayers can own compact strucuture and provide widely extended stop band from visible to infrared which is insensitive to the angle of incidence. The striking phenomenon attributes to the combining effect of Bragg reflection and light localization induced by disorder. The characteristic parameters to describe 1D binary nonperiodic dielectric multilayers are well defined. Material parameters of MgF2 and GaP are used to model 1D realistic device. Optimal design is suggested by comparison to binary 10/4 stack reflectors with the same optical length, number of layers and degree of disorder.