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Figures (1)

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Fig. 1

Ray tracing diagram.

Tables (1)

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Table I Results of ray tracing.

Equations (6)

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sin I = Z R + sin U , sin I = N k N k + 1 sin I , cos I = ( 1 - sin 2 I ) 1 2 , cos I = ( 1 - sin 2 I ) 1 2 , cos U = ( 1 - sin 2 U ) 1 2 cos J = cos U cos I + sin U sin I , sin J = cos U sin I - sin U cos I , cos U = cos J cos I + sin J S in I , sin U = cos J sin I - sin J cos I , Z = R ( sin I - sin U ) , Y = R sin J .
sin U K + 1 = sin U K ,             and             Z k + 1 = Z K + D k sin U K .
I = Z R + U , I = N I N K + 1 , Z = Z ,             U K + 1 = U K , U = U - I + I , Z k + 1 = Z K + D K U K .
K - 1 K - L [ ( G K - G K - 1 ) ( N F - N C ) K ] ,
K - 1 K - L ( G K - G K - 1 ) Δ N K - ( G K - G K - 1 ) Δ N K ( for upper rim ray ) ( for lower rim ray ) ,
[ H + ( field curvature ) tan U L ] - [ H + ( field curvature ) tan U L ] . ( for upper rim ray )             ( for principal ray )