Abbe Sine Condition

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The following article is from The Great Soviet Encyclopedia (1979). It might be outdated or ideologically biased.

Abbe Sine Condition


a condition that must be fulfilled if an optical system corrected for spherical aberration is to produce an undistorted, or nonaberrational, image y′ of a small linear element y that is located on the optical axis of the system and is perpendicular to this axis (see Figure 1). The condition is expressed by the equation sin u/sin u′ = βn′/n. Here, u and u′ are the angles formed with the optical axis by a ray passing

Figure 1

through an object point and an image point that are located on the axis, n and n′ are the refractive indexes of the media on the two sides of the optical system, and β = y/y is the linear magnification of the system.

The Great Soviet Encyclopedia, 3rd Edition (1970-1979). © 2010 The Gale Group, Inc. All rights reserved.
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