TABLE I
Lens data.
Object at infinity. |
Diameter of on-axis ray bundle = 2.8 |
Tangent of fall-field angle = 0.35999189 |
Wavelength = 0.5893 μm |
Initial lens data (Lens 1) |
Same as Table I in Ref. * except separation 0 = −2.55169214 |
Focal length = 9.99984538 |
Optimized lens data (Lens 2) |
Same as Table III in Ref. * except separation 0 = −2.85416748 |
Focal length = 10.3292302 |
Index data for both lenses |
SN | Index |
1 | 1.63843782 |
3 | 1.64752116 |
6 | 1.58908483 |
7 | 1.65832557 |
TABLE II
Ray data. NSD = normalized starting data. SD = starting data. (k0, l0), direction cosines, (X0, Y0), intersection coordinates, at initial surface. FD = final data. (X, Y), intersection coordinates at image plane, (XC, YC), intersection coordinates at image plane relative to chief ray.
Ray 1 |
NSD: | H = 0 | | XN = 0 | YN = 0 | |
SD: | k0 = 0 | | l0 = 0 | X0 = 0 | Y0 = 1.4 |
FD: | | X | Y | |
| Lena 1 | 0 | −0.1117086 | |
| Lens 2 | 0 | −0.0019702 | |
Ray 2 |
NSD: | H = 1 | | XN = 0 | YN = 0 | |
SD: | k0 = 0 | | l0 = 0.33871271 | X0 = 0 | Y0 = 0 |
FD: | | X | Y | |
| Lens 1 | 0 | 3.535874 | |
| Lens 2 | 0 | 3.720652 | |
Ray 3 |
NSD: | H = 1 | | XN = 0.4 | YN = 0.8 | |
SD: | k0 = 0 | | l0 = 0.33871271 | X0 = 0.56 | Y0 = 1.12 |
FD: | | XC | YC | |
| Lens 1 | −0.0164618 | 0.0080576 | |
| Lens 2 | −0.0017457 | −0.0023570 | |
Ray 4 |
NSD: | H = 1 | | XN = 0.4 | YN = −0.8 | |
SD: | k0 = 0 | | l0 = 0.33871271 | X0 = 0.56 | Y0 = −1.12 |
FD: | | XC | YC | |
| Lens 1 | −0.0610809 | 0.1102337 | |
| Lens 2 | 0.0021060 | −0.0065357 | |
TABLE III
Derivatives for Lens 1. No stop compensation.
| | 1 CV | 2 TH | 3 CV | 6 CV |
---|
Ray 1 | YC | −9.6165026 | −0.20343149 | −8.3895458 | −8.4414077 |
Ray 3 | XC | −4.0346529 | −0.097303137 | −2.7492488 | −3.2884633 |
| YC | −7.9701879 | −0.20762722 | −5.3910211 | −7.0935984 |
Ray 4 | XC | −3.1815468 | 0.035678840 | −4.6482670 | −3.9457706 |
| YC | 5.1382558 | −0.23276491 | 11.679717 | 9.1114055 |
TABLE IV
Derivatives for Lens 1. Stop compensation.
| | 1 CV | 2 TH | 3 CV | 6 CV |
---|
Ray 3: | XC | −3.9914261 | −0.080324502 | −2.7448791 | −3.2884633 |
| YC | −7.8389544 | −0.15608127 | −5.3777551 | −7.0935984 |
Ray 4: | XC | −3.4267269 | −0.060623124 | −4.6730515 | −3.9457706 |
| YC | 5.9904700 | 0.10196823 | 11.765865 | 9.1114055 |
TABLE V
Finite-difference derivatives for Lens 1. Stop compensation.
| | 1 CV | 2 TH | 3 CV | 6 CV |
---|
Ray 1 | YC | −9.6165026 | −0.20343149 | −8.3895458 | −8.4414077 |
Ray 3 | XC | −3.9914261 | −0.080324502 | −2.7448791 | −3.2884633 |
| YC | −7.8389544 | −0.15608127 | −5.3777551 | −7.0935984 |
Ray 4 | XC | −3.4267269 | −0.060623124 | −4.6730515 | −3.9457706 |
| YC | 5.9904700 | 0.10196823 | 11.765865 | 9.1114055 |
TABLE VI
Derivatives for Lens 2. Stop compensation.
| | 1 CV | 2 TH | 3 CV | 6 CV |
---|
Ray 1 | YC | −10.584663 | −0.45082500 | −8.0845992 | −7.0436467 |
Ray 3 | XC | −4.2437132 | −0.15860600 | −2.6064938 | −2.8271360 |
| YC | −8.4430289 | −0.36721055 | −5.1505868 | −6.1172000 |
Ray 4 | XC | −4.0323527 | −0.22098528 | −4.6527335 | −3.2414581 |
| YC | 8.2413782 | 0.64161116 | 11.982332 | 7.3670681 |
TABLE VII
Comparison of solutions obtained for zeroing the aberrations of rays 3 and 4 when stop compensation is not applied and applied, respectively.
| Δ—Table III | Δ—Table IV |
---|
1 CV | −0.492420 | −0.114700 |
2 TH | 10.452369 | 3.923592 |
3 CV | 0.544455 | −0.041546 |
6 CV | −0.165308 | 0.073053 |