Abstract

In this erratum, two errors in our recently published paper [Appl. Opt. 56, 8570 (2017) [CrossRef]  ] are corrected.

© 2018 Optical Society of America

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  1. L. Lu and Y. Cao, “Sixth-order wave aberration theory of ultrawide-angle optical systems,” Appl. Opt. 56, 8570–8583 (2017).
    [Crossref]

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w ^ i j 0 ( 1 ) = A 1 i B 1 j w i j 0 ( 1 )
w 400 ( E ) = 9 ϕ 1 w ^ 300 ( 1 ) w 300 ( 2 ) w 220 ( E ) = 3 ϕ 1 ( w ^ 120 ( 1 ) w 300 ( 2 ) + w ^ 300 ( 1 ) w 120 ( 2 ) ) + 4 ϕ 2 w ^ 120 ( 1 ) w 120 ( 2 ) w 040 ( E ) = ϕ 1 w ^ 120 ( 1 ) w 120 ( 2 ) w 500 ( E ) = 12 ϕ 1 ( w ^ 300 ( 1 ) w 400 ( 2 ) + w ^ 400 ( 1 ) w 300 ( 2 ) ) w 140 ( E ) = 2 ϕ 1 ( w ^ 120 ( 1 ) w 220 ( 2 ) + w ^ 220 ( 1 ) w 120 ( 2 ) ) + 8 ϕ 2 ( w ^ 120 ( 1 ) w 040 ( 2 ) + w ^ 040 ( 1 ) w 120 ( 2 ) ) w 320 ( E ) = 2 ϕ 1 [ 2 ( w ^ 120 ( 1 ) w 400 ( 2 ) + w ^ 400 ( 1 ) w 120 ( 2 ) ) + 3 ( w ^ 300 ( 1 ) w 220 ( 2 ) + w ^ 220 ( 1 ) w 300 ( 2 ) ) ] + 4 ϕ 2 ( w ^ 120 ( 1 ) w 220 ( 2 ) + w ^ 220 ( 1 ) w 120 ( 2 ) ) w 600 ( E ) = ϕ 1 [ 15 ( w ^ 300 ( 1 ) w 500 ( 2 ) + w ^ 500 ( 1 ) w 300 ( 2 ) ) + 16 w ^ 400 ( 1 ) w 400 ( 2 ) ] w 240 ( E ) = ϕ 1 [ 3 ( w ^ 120 ( 1 ) w 320 ( 2 ) + w ^ 320 ( 1 ) w 120 ( 2 ) + w ^ 140 ( 1 ) w 300 ( 2 ) + w ^ 300 ( 1 ) w 140 ( 2 ) ) + 4 w ^ 220 ( 1 ) w 220 ( 2 ) ] + 8 ϕ 2 ( w ^ 040 ( 1 ) w 220 ( 2 ) + w ^ 220 ( 1 ) w 040 ( 2 ) + w ^ 120 ( 1 ) w 140 ( 2 ) + w ^ 140 ( 1 ) w 120 ( 2 ) ) w 420 ( E ) = ϕ 1 [ 8 ( w ^ 220 ( 1 ) w 400 ( 2 ) + w ^ 400 ( 1 ) w 220 ( 2 ) ) + 9 ( w ^ 320 ( 1 ) w 300 ( 2 ) + w ^ 300 ( 1 ) w 320 ( 2 ) ) + 5 ( w ^ 500 ( 1 ) w 120 ( 2 ) + w ^ 120 ( 1 ) w 500 ( 2 ) ) ] + 4 ϕ 2 ( w ^ 320 ( 1 ) w 120 ( 2 ) + w ^ 120 ( 1 ) w 320 ( 2 ) + w ^ 220 ( 1 ) w 220 ( 2 ) ) w 060 ( E ) = ϕ 1 ( w ^ 120 ( 1 ) w 140 ( 2 ) + w ^ 140 ( 1 ) w 120 ( 2 ) ) + 16 ϕ 2 w ^ 040 ( 1 ) w 040 ( 2 ) .
c 3 , 2 * = ( c 0 , 2 c 3 , 0 + c 1 , 2 c 2 , 0 ) sin α tan α r m c 3 , 2 .

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