Page 136 - Modern Optical Engineering The Design of Optical Systems

Third-Order Aberration Theory and Calculation 119

■ Plot L is a across-section drawing of the lens, including marginal
axial and principal rays.
■ The box M contains the half field angle, the numerical aperture, the
focal length, and the wavelengths.

The prescription for this lens is as follows:

Radius Spacing Glass Semidiameter
37.40 5.90 SK4 (613586) 14.7 EFL = 101.181
341.48 12.93 air 14.7 BFL = 77.405
42.65 2.50 SF2 (648338) 10.8 NA = 0.1443 (f/3.47)
36.40 2.00 air 10.8 GIH = 21.248 ( 11.860 )
stop 9.85 air 10.3 PTZ/F = 2.935
204.52 5.90 SK4 (613586) 11.6 VL = 39.08
37.05 77.405 11.6 OD = infinity (1.0 e 8)

Table 6.1 is the paraxial raytrace data for each surface of the lens,
including the object and image surfaces and the aperture stop (#5).
The column headed PY is the axial ray height (y) at the surface, PU is
the ray slope after passing through the surface (u′), and PI is the
paraxial angle of incidence (i) at the surface. Columns PYC, PUC, and
PIC are the corresponding data for the principal ray.
Table 6.2 lists the paraxial chromatic surface contributions and
their sums. Column PAC is the paraxial transverse axial (primary)
chromatic (F-C), and SAC is the transverse secondary spectrum (F-d).
Column PLC and SLC are the corresponding values for the lateral
chromatic.
Table 6.3 gives the third-order (Seidel) aberration surface contri-
butions. Column SA3 is the transverse third-order spherical aberra-
tion, CMA3 is the sagittal coma (1/3 of tangential coma), AST3 is the

TABLE 6.1 The Paraxial Ray Trace Data of the Lens Above
SRF PY PU PI PYC PUC PIC
0 –– 1.4600e-07 1.4600e-07 –2.1000e 07 0.210000 0.210000
1 14.600000 –0.148315 0.390374 –6.411174 0.195343 0.038578
2 13.724943 –0.263817 –0.188507 –5.258650 0.324469 0.210743
3 10.313791 –0.065055 –0.505641 –1.063264 0.187124 0.349399
4 10.151154 0.073436 0.213823 –0.595454 0.297727 0.170765
5 10.298026 0.073436 0.073436 –3.3307e-15 0.297727 0.297727
6 11.021371 0.025062 0.127325 2.932611 0.179164 0.312066
7 11.169234 –0.144296 –0.276402 3.989677 0.222961 0.071480
8 –– –0.144296 –0.144296 21.248022 0.222961 0.222961