Table 1.
Updated List of Top Solutions for the SCENICC F/1.7 f = 12 mm 470–650 nm 120° Monocentric Lensa
Fast Exact Ray Tracing [mm] ZEMAX Optim. Radii [mm] No. Outer Glass Internal Glass R1 R2 ( Δ Φ ) 2 R1 R2 MTF at 200 lp / mm 1 S-LAH79 K-LaSFn9 , TAF5, S-LAH599.060 3.781 0.00547 9.068 3.792 0.648 2 TAFD55 (LASF35)K-LaFK50 , S-YGH52, M-TAC60…8.529 3.800 0.00618 8.533 3.807 0.622 3 N-LASF46A /B (TAFD25, L-LAH86)M (C)-TAF1 , TAF5, K-LaFK50(T), S-LAH59, K-LaSFn9, S-LAH65(V)…9.057 3.614 0.00622 9.065 3.630 0.609 4 L-NBH54 K-LaFn9 , S-LAM558.949 3.629 0.00633 8.960 3.649 0.606 5 K-GIR79 (LAH80, N-LASF9)K-LaFK50T , M(C)-TAF1, N-LAF21, K-LaSFn16, TAF4…9.290 3.435 0.00637 9.300 3.456 0.591 6 TAFD40 M-TAFD305 , L-LAH85V, L-LAH839.533 3.730 0.00749 9.537 3.735 0.626 7 S-LAH79 M-TAF101 , N-LAF21, K-LaSFn16, TAF4, M-TAF1, TAC4, K-LaKn12…8.470 3.802 0.00757 8.477 3.814 0.626 8 K-PSFn5 N-LASF45 (HT), S-LAM669.348 3.600 0.00793 9.357 3.617 0.607 9 TAFD40 N-LAF2 , K-LaF2, LAF2, S-LAM2, K-LaFn11, S-LAM61…8.191 3.792 0.00795 8.194 3.796 0.592 10 LASF35 (S-LAH79 )K-LaK9 , K-LaK12, N-LAK12, S-LAL12…; K-VC80 , K-LaK13 , P-LAK35 , L-LAL13 , S-LAL13 …7.487 3.746 0.00856 7.492 3.752 0.561 11 N-LASF46A /B (TAFD25, L-LAH86)N-LAK12 , K-LaK9, N-LAK12, S-LAL12, LAC12, L-LAL12…7.813 3.701 0.00886 7.817 3.707 0.534
a Prescriptions shown pertain to glass combinations, marked in bold.
Table 2.
Array of Local Minimums Over the Main Ravine in 4GA-8 Optimization Space.a
5 6 7 8 9 10 11 12 13 14 C initial 0.0132 0.0089 0.0074 0.0071 0.0071 0.0071 0.0075 0.0092 0.0135 0.0220 r 1 6.945 6.975 7.005 7.035 7.065 7.010 7.125 7.155 7.186 7.216 r 2 2.959 2.959 2.959 2.959 2.959 2.959 2.958 2.959 2.956 2.957 r 3 − 2.959 − 2.959 − 2.959 − 2.959 − 2.959 − 2.959 − 2.959 − 2.963 − 2.956 − 2.957 r 4 − 4.162 − 4.162 − 4.161 − 4.161 − 4.161 − 4.161 − 4.161 − 4.161 − 4.161 − 4.161 r 5 − 4.462 − 4.462 − 4.463 − 4.463 − 4.464 − 4.464 − 4.465 − 4.465 − 4.466 − 4.466 r 6 − 7.904 − 7.864 − 7.824 − 7.784 − 7.744 − 7.704 − 7.664 − 7.624 − 7.584 − 7.544 C final 0.0072 0.0071 0.0071 0.0071 0.0071 0.0071 0.0072 0.0073 0.0075 0.0078
a Radii shown pertain to the areas at the bottom of the ravine reached after optimization.
Table 3.
Optical Prescription of the 400–1000 nm F/1.7 f = 12 mm MC Lens Example Solution A = 5.63 g
Radius Thickness Glass Semi-Diameter OBJ Infinity Infinity Infinity 1 7.05918 4.10337 P-LASF47 6.75121 2 2.95581 2.95581 K-GFK68 2.93356 STO Infinity 2.95581 K-GFK68 2.20989 4 − 2.95581 1.26426 K-LASFN6 2.91646 5 − 4.22007 0.35576 4.05564 6 − 4.57583 3.27037 N-KZFS11 4.34140 7 − 7.84620 4.14501 7.12060 IMA − 11.9913 10.38526
Table 4.
Optical Prescription of the 400–1000 nm F/1.7 f = 12 mm MC Lens Example Solution B = 5.71 g
Radius Thickness Glass Semi-Diameter OBJ Infinity Infinity Infinity 1 7.26696 4.34654 P-LASF47 6.93839 2 2.92041 2.92041 K-GFK68 2.89944 STO Infinity 2.92041 K-GFK68 2.20692 4 − 2.92041 1.29818 K-LASFN6 2.88460 5 − 4.21859 0.41330 4.05796 6 − 4.63189 3.00543 N-KZFS11 4.39123 7 − 7.63733 4.35056 6.95098 IMA − 11.98789 10.38221
Table 5.
Optical Prescription of the 400–1000 nm F/1.7 f = 12 mm MC Lens Example Solution C = 5.72 g
Radius Thickness Glass Semi-Diameter OBJ Infinity Infinity Infinity 1 6.56181 3.55968 P-LASF47 6.30232 2 3.00213 3.00213 K-GFK68 2.97882 STO Infinity 3.00213 K-GFK68 2.21707 4 − 3.00213 1.16917 K-LASFN6 2.95718 5 − 4.17130 0.24397 4.00443 6 − 4.41527 4.06139 N-KZFS11 4.19853 7 − 8.47720 3.51334 7.62830 IMA − 11.99054 10.38469
Table 6.
Families of Solutions for F/1.7 12 mm Monocentric 4GA-8 400–1000 nm Lens Obtained Through Near-Global Search
Family 1st Glass 2nd Glass (Core) 3rd Glass 4th Glass (Meniscus) Near-Global Search Criterion MTF at 200 lp / mm I P-LASF50 K-GFK68 TAF1 E-ADF10 0.003253 0.583 II NBFD11 K-GFK68 TAF3 KZFS12 0.003572 0.569 III L-LAM72 K-GFK68 TAF1 S-NBH53 0.003591 0.567 IV TAF2 K-GFK68 P-LASF50 N-KZFS11 0.003808 0.577 V L-LAH83 K-GFK68 NBF1 KZFS12 0.003958 0.555 VI TAFD30 K-GFK68 P-LASF50 N-KZFS11 0.003970 0.559 VII P-LASF51 K-GFK68 S-LAH58 N-KZFS11 0.003978 0.553
Table 7.
Optical Prescription of the 400–1000 nm F/1.7 f = 12 mm Monocentric Near Global Solution
Radius Thickness Glass Semi-Diameter OBJ Infinity Infinity Infinity 1 7.05656 4.20075 P-LASF50 6.75008 2 2.85581 2.85581 K-GFK68 2.83814 STO Infinity 2.85581 K-GFK68 2.20709 4 − 2.85581 1.30890 TAF1 2.82507 5 − 4.16471 0.42696 4.00744 6 − 4.59167 3.54357 E-ADF10 4.35045 7 − 8.13525 3.84990 7.34868 IMA − 11.98514 10.37980
Table 8.
Optical Prescription of the 400–1000 nm F/1.7 f = 12 mm Monocentric Lens Operating with Front-Illuminated Silicon Sensor
Radius Thickness Glass Semi-Diameter OBJ Infinity Infinity Infinity 1 7.04107 4.08409 P-LASF47 6.73508 2 2.95699 2.95699 K-GFK68 2.93476 STO Infinity 2.95699 K-GFK68 2.21103 4 − 2.95699 1.26003 K-LASFN6 2.91758 5 − 4.21702 0.35134 4.05282 6 − 4.56835 3.30232 N-KZFS11 4.33494 7 − 7.87067 4.12587 7.14073 IMA − 11.99654 10.38982
Table 9.
Optical Prescription of the 435–1000 nm F/1.7 f = 12 mm Monocentric Lens Operating with Back-Illuminated Silicon Sensor
Radius Thickness Glass Semi-Diameter OBJ Infinity Infinity Infinity 1 6.92285 4.01591 NBFD11 6.62605 2 2.90694 2.90694 K-GFK68 2.88753 STO Infinity 2.90694 K-GFK68 2.21436 4 − 2.90694 1.27374 K-LASFN17 2.87138 5 − 4.18068 0.38453 4.02581 6 − 4.56521 2.27558 KZFS12 4.33527 7 − 6.84078 3.13995 6.28471 8 − 9.98074 2.00000 GG435 8.75173 IMA − 11.98074 10.37606
Table 10.
Optical Prescription of the Water Immersed Monocentric Lens
Radius Thickness Glass Semi-Diameter OBJ Infinity Infinity SEAWATER Infinity 1 8.30000 2.00000 SEAWATER 7.61630 2 6.03999 3.48360 TAFD30 5.71884 3 2.55639 2.55639 N-LAF21 2.53267 STO Infinity 2.55639 N-LAF21 1.87234 5 − 2.55639 1.45793 LASF35 2.52255 6 − 4.01433 0.15699 3.84362 7 − 4.17132 2.61177 K-GIR79 3.96995 8 − 6.78309 5.26472 6.24176 IMA − 12.04781 10.43447
Table 11.
Optical Prescription of the Night Vision Monocentric Lens
Radius Thickness Glass Semi-Diameter OBJ Infinity Infinity Infinity 1 12.21344 7.19969 K-PSFN173 11.72988 2 5.01376 5.01376 K-GIR79 4.97624 STO Infinity 5.01376 K-GIR79 3.67166 4 − 5.01376 2.76625 K-PSFN173 4.92548 5 − 7.78001 0.26457 7.36222 6 − 8.04458 5.49005 KZFS12 7.55792 7 − 13.53463 2.43761 12.03582 IMA − 15.97224 13.83509
Table 12.
Optical Prescription of the Short-Wave Infrared Monocentric Lens
Radius Thickness Glass Semi-Diameter OBJ Infinity Infinity Infinity 1 9.64853 6.08158 M-FDS2 9.22685 2 3.56695 3.56695 K-GIR79 3.55045 STO Infinity 3.56695 K-GIR79 2.81170 4 − 3.56695 2.13160 K-PSFN215 3.52510 5 − 5.69855 0.20974 5.40924 6 − 5.90829 4.27312 N-SF4 5.56372 7 − 10.18141 1.79011 9.05080 IMA − 11.97152 10.36887
Table 13.
Optical Prescription of the f = 112 mm Monocentric Lens Candidate
Radius Thickness Glass Semi-Diameter OBJ Infinity Infinity Infinity 1 70.6495 25.0385 F2 66.0262 2 45.6110 20.0201 N-LASF31A 43.4394 3 25.5910 25.5910 K-GFK68 25.0475 STO Infinity 25.5910 K-GFK68 15.0900 5 − 25.5910 11.0541 N-LASF31A 24.8256 6 − 36.6451 5.7785 34.6924 7 − 42.4236 34.4507 N-BK7 39.4128 8 − 76.8743 35.0734 68.5323 IMA − 111.9476 96.9500
Table 14.
Optical Prescription of the Optimal 40GPix Monocentric 4GA-8 Lens
Radius Thickness Glass Semi-Diameter OBJ Infinity Infinity Infinity 1 122.6509 65.5070 N-LAK33B 116.1051 2 57.1440 57.1440 CAF2 56.0001 STO Infinity 57.1440 CAF2 34.8902 4 − 57.1440 16.2656 N-LAK8 55.6673 5 − 73.4095 11.4827 70.3637 6 − 84.8922 31.3242 N-LAF34 80.0069 7 − 116.2164 163.6565 107.5578 IMA − 279.8730 242.3780