An achromatic doublet consists of a crown glass positive lens of index 1.52 and of thickness 1 cm, cemented to a flint glass negative lens of index 1.62 and of thickness 0.5 cm. All sur- faces have a radius of curvature of magnitude 20 cm. If the doublet is to be used in air, determine (a) the system matrix elements for input and output planes adjacent to the lens sur- faces; (b) the cardinal points; (c) the focal length of the com- bination, using the lensmaker's equation and the equivalent

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14 An achromatic doublet consists of a crown glass positive lens
of index 1.52 and of thickness 1 cm, cemented to a flint glass
negative lens of index 1.62 and of thickness 0.5 cm. All sur-
faces have a radius of curvature of magnitude 20 cm. If the
doublet is to be used in air, determine (a) the system matrix
elements for input and output planes adjacent to the lens sur-
faces; (b) the cardinal points; (c) the focal length of the com-
bination, using the lensmaker's equation and the equivalent
focal length of two lenses in contact. Compare this calculation
of f, which assumes thin lenses, with the previous value.
Transcribed Image Text:14 An achromatic doublet consists of a crown glass positive lens of index 1.52 and of thickness 1 cm, cemented to a flint glass negative lens of index 1.62 and of thickness 0.5 cm. All sur- faces have a radius of curvature of magnitude 20 cm. If the doublet is to be used in air, determine (a) the system matrix elements for input and output planes adjacent to the lens sur- faces; (b) the cardinal points; (c) the focal length of the com- bination, using the lensmaker's equation and the equivalent focal length of two lenses in contact. Compare this calculation of f, which assumes thin lenses, with the previous value.
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