In the augmented reality technology, what a viewer sees needs to be augmented by 3D information in accordance with the real object. Thus, we have previously proposed a retinal projection type super multi-view HMD which provides a viewer with natural 3D images. However, the proposed HMD has two problems. One is whether the blurred retinal image of the real 3D object is equal to the superimposed parallax images of the virtual 3D image. The other one is the restricted depth range of 3D images. When the parallax difference is large and corresponding pixels of parallax images do not overlap each other, we cannot use the superimposed parallax images instead of the blurred image. In this paper, we theoretically consider above problems and verify the effectiveness of the super multi-view HMD. By simulation the light intensity distributions of retinal images, we confirmed that the superimposed parallax images was equal to the blurred image. Moreover, from the range of the suitable parallax difference, we verified the depth range of the 3D image by the proposed HMD was more than 113 mm in front of the pupil.