An optical device and a display apparatus of the present invention are constructed so as to improve display characteristics of output light intensity, display contrast, and reduction of scattered light due to external light, and also to provide a large-screen. The optical device has a first stacked body and a plurality of second stacked bodies. The first stacked body includes a light guide, a first electrode, and an optical control layer. The second stacked body includes a plurality of second electrodes, the reflection film and a substrate. At least one of said first electrode and said second electrode has a periodic structure for inducing a fine periodic structure for light diffraction in said optical control layer.