Depth of Image Space

Depth of Image Space 

the greatest distance, measured along the optical axis, between points in space that are depicted with adequate sharpness by an optical system (see Figure 1).

Figure 1. Image produced by a lens L of the points in space lying in planes located at various distances from the lens: Q is the sighting plane, and Q′ is the focal plane. The point q is reflected sharply in the plane Q′, whereas the points q₁ and q₂ are reflected sharply in the planes Q′₁ and Q′₂. In the focal plane Q′, the points q₁, and q₂ are represented by blur circles of diameters d₁, and d₂, respectively.

The optical system forms a sharp image in the focal plane Q′ of only the points of a flat object that is perpendicular to the optical axis and situated at a fixed distance from the system (in the sighting plane Q). The points in the space that are situated in front of and behind the plane Q, in the planes Q₁ and Q₂, will be depicted sharply in the conjugate planes Q′₁ and Q′₂. In the focal plane Q₁ these points will be represented by circles (blur circles) of finite dimensions d₁ and d₂, but if the diameter of the blur circles is less than a certain value (less than 0.1 mm for the normal eye), then the eye perceives them as points—that is, with equal sharpness. The distance between the planes Q₁ and Q₂ for which the corresponding points in a flat image or on a photograph appear to be equally sharp is called the depth of image space. The distance between the planes Q′₁ and Q′₂ is called the depth of focus (the distance Q₁Q₂ is also sometimes called the depth of focus).

The depth of image space varies inversely as the diameter of the entrance pupil of the lens. For this reason, in photographing an object with a foreground and background—that is, an object that extends along the optical axis of the system—the diaphragm aperture of the lens must be decreased.

REFERENCE

Tudorovskii, A. I. Teoriia opticheskikh priborov. Moscow-Leningrad, 1952.

V. I. MALYSHEV