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Unformatted text preview: Convex Refractive Surface 1 A convex spherical refractive surface is in air as shown in the attached ﬁgure.
The radius of curvature of the refractive surface is +50 mm. The positive sign indicates
that the light incident from the left encounters a convex surface. The refractive index of the righthand refractive region is 1.500. A vertical planar object exists to the left of the refractive surface. The object is
moved such that it is sequentially located at ﬁve different positions in this lefthand re-
gion. The distances from the vertex of the refractive surface to the object are given be-
low. A point on the object is located 50 mm above the axis of the optical system. Cal-
culate, showing all work, the location of the image along the optical axis to the left or to
the right of the refractive surface for each of the ﬁve cases. Calculate, showing all work,
the location of the image point above or below the optical axis for each of the ﬁve cases.
Express your answers in mm. For the image distance, indicate whether it is left or right
of the refractive surface. For the image point, indicate whether it is above or below the optical axis. On the attached sheet, for each of the ﬁve cases, prepare a ray trace diagram that
incorporates 1) the parallel ray (propagates from object parallel to the optical axis) and
2) the focal ray (propagates from object toward the lefthand focal point). Let the spac- ing between tick marks be 50 mm. Object Image
Distance Distance Distance
along axis left or right along axis left or right from axis above or below
(mm) (mm) (mm)
50 left 10 left CONVEX REFRACTING SURFACE ...
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- Spring '08