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单孔径多通道超分辨成像光学系统(二)

2020.10.06

2 Change of the primary mirror of this telescope

For any telescopes, the primary mirrors provided with power and aperture diameter which were used to collect rays energy and information from the remote source with high resolution. The power and aperture were combined by the primary mirrors in a whole, but this power and aperture of primary mirrors could be disjoined into independent parts. So the aperture could be constituted by many flat segment mirrors and the power could be provided by main lens instead. By this way, the diameter of aperture of the telescope primary mirrors could be enlarged more than its original size, and could acquire high resolution. The structure of the system could be showed as Fig. 3.

Fig.3 Structure of the telescope

In the experiment, we used two flat mirrors were combined together as the primary mirror, using the collimated laser as the remote source (ZYGO interferometer) to illuminate the equipment from ahead, showed as Fig. 4, and get the small image, it was enlarged and showed in Fig. 5; the image acquired by the system using single flat mirror were showed in Fig. 6.

Fig.4 Prototype equipment of the system
Fig.5 Image with two flat mirrors as the primary mirror from the prototype equipment
Fig.6 Image with single flat mirror as the primary mirror from the prototype equipment

3 Theory discussion of synthesize aperture of this telescope

Usually, the synthesize aperture were applied in large optical telescope, in theory of the synthesize aperture, one point source wavefront of the remote object reach to the pupil of telescope often has the same path length, also is known as the same wave front. When the wave front was divided into many segments by the discrete primary mirror of synthesize aperture telescope. The segments wavefront must be focused into one point together and interference.

Define the single segment mirror pupil as

pupilsub=⎧⎩⎨⎪⎪10[(x−xi)2+(y−yi)2≤R2][(x−xi)2+(y−yi)2>R2]
(2)

Suppose that each segments mirror in the telescope has its own PSFsub as

PSFsub(ui,vi)=∬Pupilsub(x,y)exp[−i2π(uix+viy)]dxdy
(3)

Andwhen all of them interference into together, then the final PSFfinal of the telescope could be acquired by

PSFsum(u,v)=∑i=1n∬Pupilsub(x,y)exp[−i2π(uix+viy)]dxdy
(4)
PSFsum(u,v)=∑i=1n∬Pupilsub(x,y)exp[−i2π(x∑i=1nui+y∑i=1nvi)]dxdy
(5)

In Eq. (5), all the PSFsub of sub-aperture were collected together as one large aperture PSFsum, because all the PSFsub come from the same wavefront in theory, so all the rays which come to the same image point will occur interference, and get the PSFsum of the large telescope.

4 Outdoors photos by two channels telescope

Fig. 7 could be enlarged to see the detail, from the 2D FFT image, we can see the two channels photo has more frequency band than any one channel′s, so we could get the conclusion that high resolution could be reach by using multi-copying pupil of the optical system.

Fig.7 Outdoors photos by two channels telescope

5 Conclusion

From the introduction and discussion above, the flat segments mirror could be used into the large telescope as a “primary mirror”. All the flat mirrors collect the one same field view by different channels and get more than one images of the same field view. By collimate the respect images, one large lens collect all the images rays into the one image, it is the synthesis image. And by the experiments outdoors, the synthesis image was proved as the super-resolution picture. One pupil multi-channel and super-resolution imaging optical system were provided as a conception by this system. The work principle of the system is made the system′s more field view to see the same subjects and every field view as one channel. And by this method the Flat mirrors could be used to assemble large telescope to acquire high resolution image. The weight of large telescope will be more lightened. And the proof of the super-resolution which two channel higher than anyone channel were gotten from the experiments.

Acknowledgement

In this paper, thanks all the people helped me, and especially Thanks XU Guang-zhou, LIU Xue-bin, YANG Jian-feng,etc ever supports for this project.

References

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