For a thin lens in air, the focal length is the distance from the center of the concave lens ), the focal length is negative, and is the distance to the point from which a collimated beam appears to be diverging after passing through the lens.
32.
To be consistent with the thin lens approximation, the rays should change direction only at the center line of the lens ( and in that case the central ray can arguably be drawn as it is ) . talk ) 00 : 08, 24 April 2009 ( UTC)
33.
Paraxial optical systems implemented entirely with thin lenses and propagation through free space and / or graded index ( GRIN ) media, are quadratic phase systems ( QPS ); these were known before Moshinsky and Quesne ( 1974 ) called attention to their significance in connection with canonical transformations in quantum mechanics.
34.
This formula is exact for the second definition, if H is measured from a thin lens, or from the front principal plane of a complex lens; it is also exact for the first definition if H is measured from a point that is one focal length in front of the front principal plane.
35.
In most cases, two thin lenses are combined, one of which has just so strong a positive aberration ( " under-correction, " vide supra ) as the other a negative; the first must be a positive lens and the second a negative lens; the powers, however : may differ, so that the desired effect of the lens is maintained.
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