Object at 0 View Angle

In order to describe the nonlinear magnification of the area obtained by mapping a flat unary circle onto a spherical surface, Eq. (15) is rewritten as a function of fi d0/_R. Thus, Eq. (15) becomes

After solution of Eq. (24), the value A fi is obtained and the diameter Ada of the enlarged area is given by

Ada R xAfi, where R is the input phosphor screen curvature.

Object at Arbitrary View Angle

By generalizing Eq. (15), a description of an arbitrary view angle has been derived. Considering d0 in Eq. (21) as a function of ft, and substituting it in dA d0 ft d0 ft ft , 26

derived from the geometry of Fig. 13, a quadratic equation is obtained,

A srcxr-Di- 27


2R s1 sin v tg ft/2 s2 s2 2R tg2 ft/2 cos v s2 s2 2R tg2 S/2 cos v 2R sin vtg ft/2

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