First give normalized initial values: d12, d23, f2’=-1, f3’, β3=-1√M to calculate the initial structure of the system.
Taking the short focal length as the starting position, the normalized value is given: f2’=-1. During the design, the focal length of the compensation group should not be too long or too short. If it is too long, the required compensatory quantity of the compensation image plane will be too much, which goes against the realization of miniaturization design. If it is too short, the relative aperture undertaken by the compensation group will be too large, which make aberration correction more difficult. The focal length of compensation group is generally about 3 times of the focal length of zoom group, and f3’=3.
When the focus is the shortest, the distance between the zoom group and the front fixed group is the closest, so the selection of d12 should ensure that the lenses do not touch each other and leave some margin, and take d12=0.5. Assuming d23=6 at short focus, according to formulas (1) to (9), the system is in long focus state: d* 12=7.3, d* 23=0.6, and the focal lengths of each component are f1’=11, f2’=-1, f3’=3.
3. Design results and image quality evaluation
3.1 Design results
The mechanical positive group compensation continuous zoom optical structure model is used, and the optical design software is used for optimization after the initial model is established and zoomed. Due to the large short-focus field of view of the system, both off-axis aberrations and high-order aberrations are relatively large. For the correction of high-order aberration, the design introduces high-order aspheric and diffractive surfaces to better balance off-axis and on-axis aberrations.
With the secondary imaging structure, the entrance pupil of the system is closer to the front lens group, so the projection of the chief ray of the off-axis field of view on the front lens group is lower, thereby reducing the aperture of the front lens.
In addition, in the design of the optical-mechanical structure, a field diaphragm is set at the position of the primary image plane, so that the stray light outside the system's field of view cannot pass through the field diaphragm to reach the image plane, which can effectively reduce the influence of stray light on the imaging of the optical system , which improves the signal-to-noise ratio.
The aperture diaphragm is set at the exit pupil of the optical system. The aperture diaphragm is the same as the cold diaphragm of the cooling detector. Thus, the F number of the system is the same as that of the detector, achieving 100% cold diaphragm efficiency. Hence, there will be no energy loss caused by beam cutting; therefore, the system sensitivity is improved.
The final design of the optical system is shown in Figures 3 to 6. After adding the expansion lens, it can realize the 22x continuous zoom function with the focal length changing continuously in the range of 30 to 660mm. The total optical length of the system is 244mm, and the total length / maximum focal length ratio is 0.37, so it has the characteristics of small total optical length and large zoom ratio.
After removing the front afocal extender, the rear continuous zoom optical system can realize 22 times continuous zoom function with the focal length continuously changing in the range of 15-330mm. The total optical length of the continuous zoom optical system is 138mm, and the total length/maximum focal length ratio is 0.42. The total length of the system is short, and the volume is small.