Table I
Axial GRIN Singlet with a N01 Coefficient: Design Data
| Surface | Curvature (mm−1) | Thickness (mm) | Refractive index |
|---|
| 0 (object) | 0.0 | Infinity | 1.0 |
| 1 (stop) | 0.01640109 | 1.0 | 1.8–0.01 z |
| 2 | 0.00397956 | 99.2690 | 1.0 |
| 3 (image) | 0.0 | 0.0 | 1.0 |
Effective focal length = 100.0 mm;
f/No. = 10.0;
semifield angle = 10.0°;
z is in the direction of the optical axis.
Table II
Axial GRIN Singlet with a N01 Coefficient: Third-Order Transverse Aberration Data
| Aberration coefficient | Code V | Simplified equation | |% Error| |
|---|
| Spherical aberration (σ1) | 0.007653 | 0.007631 | 0.28 |
| Coma (σ2) | −0.006681 | −0.006581 | 1.49 |
| Astigmatism (σ3) | −0.077754 | −0.077597 | 0.20 |
| Petzval curvature (σ4) | −0.043007 | −0.043007 | 0.00 |
| Distortion (σ5) | ~0 | ~0 | — |
Table III
Wood Singlet with a N10 Coefficient: Design Data
| Surface | Curvature (mm−1) | Thickness (mm) | Refractive index |
|---|
| 0 (object) | 0.0 | Infinity | 1.0 |
| 1 (stop) | 0.0 | 1.0 | 1.8–0.005 r2 |
| 2 | 0.0 | 99.8147 | 1.0 |
| 3 (image) | 0.0 | 0.0 | 1.0 |
Effective focal length = 100.09 mm;
f/No. = 10.0;
semifield angle = 10.0°;
r is the radial coordinate perpendicular to the optical axis.
Table IV
Wood Singlet with a N10 Coefficient: Third-Order Transverse Aberration Data
| Aberration coefficient | Code V | Simplified equation | |% Error| |
|---|
| Spherical aberration (σ1) | −0.007526 | −0.007524 | 0.03 |
| Coma (σ2) | 0.025334 | 0.025358 | 0.09 |
| Astigmatism (σ3) | −0.077109 | −0.077280 | 0.22 |
| Petzval curvature (σ4) | −0.024035 | −0.023990 | 0.18 |
| Distortion (σ5) | −0.003034 | −0.003046 | 0.38 |
Table V
Radial GRIN Singlet with a N10 Coefficient: Design Data
| Surface | Curvature (mm−1) | Thickness (mm) | Refractive index |
|---|
| 0 (object) | 0.0 | Infinity | 1.0 |
| 1 (stop) | 0.00895725 | 1.0 | 1.8–4.669 × 10−3 r2 |
| 2 | 0.00814964 | 99.3430 | 1.0 |
| 3 (image) | 0.0 | 0.0 | 1.0 |
Effective focal length = 100.0 mm;
f/No. = 10.0;
semifield angle = 10.0°;
r is the radial coordinate perpendicular to the optical axis.
Table VI
Radial GRIN Singlet with a N10 Coefficient: Third-Order Transverse Aberration Data
| Aberration coefficient | Code V | Simplified equation | |% Error| |
|---|
| Spherical aberration (σ1) | 0.104650 | 0.100676 | 3.79 |
| Coma (σ2) | ~0 | ~0 | — |
| Astigmatism (σ3) | −0.077826 | −0.078307 | 0.62 |
| Petzval curvature (σ4) | −0.025191 | −0.025192 | 0.00 |
| Distortion (σ5) | ~0 | ~0 | — |
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