Page 132 - Modern Optical Engineering The Design of Optical Systems

Third-Order Aberration Theory and Calculation 115

2
h u′ k TAC
TPC (6.3p)
2n n
DC 0 (6.3q)
2
y
TAchC (6.3r)
Vu′ k
TchC 0 (6.3s)

2
y P
TSchC (6.3t)
Vu′ k
The symbols in the preceding have the following meanings:

u′ k is the final slope of the axial ray (at the image).
h is the image height (the intersection of the “principal” ray with the
image plane).
V is the Abbe V-number of the lens material, equal to (n d 1)/(n F n C ).
P is the partial dispersion of the lens material, equal to (n d n C )/(n F n C ).
G 1 through G 8 are functions of the lens material index, listed in Eq. 6.3u.

TSC, CC, TAC, DC, TPC, TAchC, and TchC have the same meanings
as in Sec. 6.3.
TSchC is the transverse secondary spectrum contribution, equal to
(l′ d l′ C )( u′ k ).
The transverse aberrations may be converted to longitudinal measure
by dividing by ( u′ k ) per Eq. 6.2n, as follows:

TSC
SC
u′ k

TAC
AC
u′ k
TPC
PC
u′ k

TAchC
LchC
u′ k
TSchC
SchC
u′ k