Abstract

fortran computer subroutines for the automatic computation of the optical aberration functions S, T, V, W, and K to the 15th order for rotationally symmetric systems are presented. The routines may be conveniently extended toward higher orders.

© 1981 Optical Society of America

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References

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  1. T. B. Andersen, Appl. Opt. 19, 3800 (1980).
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1980 (1)

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Tables (4)

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Table I Main Routine OAC

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Table II Auxillary Routine PROD

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Table III Auxiliary Routines SUMM, CNST, NORM, NPOW, and copy

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Table IV Computing Time per Surface in Seconds for the Computation of Optical Aberration Coefficients

Equations (8)

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ρ = x 0 2 + y 0 2 ,             ψ = ξ 0 2 + η 0 2 ,             κ = x 0 ξ 0 + y 0 η 0 ,
[ x 1 y 1 ] = S ( ρ , ψ , κ ) [ x 0 y 0 ] + T ( ρ , ψ , κ ) [ ξ 0 η 0 ] ,
[ ξ 1 η 1 ] = V ( ρ , ψ , κ ) [ x 0 y 0 ] + W ( ρ , ψ , κ ) [ ξ 0 η 0 ] ,
G ( ρ , ψ , κ ) = n = 0 j = 0 n k = 0 j G n , n - j , j - k , k ρ n - j ψ j - k κ k
f i ( ρ ) = j = 1 a i j ρ j
ρ 1 = ρ + d 0 2 ψ + 2 d 0 κ ,             ψ 1 = ψ ,             κ 1 = d 0 ψ + κ , S 1 = 1 ,             T 1 = d 0 ,             V 1 = 0 ,             W 1 = 1 ,             K 1 = d 0 1 + ψ ,
DO 100 J = 1 , 9 CALL CNST [ AJ ( 9 , I ) , RHOT , FI ] DO 50 JJ = 8 , 1 , - 1 ,
CALL CNST [ 10. D 0 * AJ ( 10 , I ) , NM , DFDR ] DO 70 JJ = 9 , 1 , - 1

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