CN116149073A - Synthetic aperture imaging system - Google Patents

Synthetic aperture imaging system Download PDF

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CN116149073A
CN116149073A CN202310066747.6A CN202310066747A CN116149073A CN 116149073 A CN116149073 A CN 116149073A CN 202310066747 A CN202310066747 A CN 202310066747A CN 116149073 A CN116149073 A CN 116149073A
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sub
aperture
lens
imaging system
synthetic aperture
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廖家莉
李洧
孙艳玲
马琳
鲁振中
兰金蓉
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Xidian University
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    • G02OPTICS
    • G02BOPTICAL ELEMENTS, SYSTEMS OR APPARATUS
    • G02B27/00Optical systems or apparatus not provided for by any of the groups G02B1/00 - G02B26/00, G02B30/00
    • G02B27/58Optics for apodization or superresolution; Optical synthetic aperture systems

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Abstract

The invention discloses a synthetic aperture imaging system, comprising: lenses, detectors, and synthetic apertures; the lens is positioned on one side of the imaging target; the synthetic aperture is positioned on one side of the lens far away from the imaging target, and consists of a plurality of sub-apertures which are identical in size and are arranged in a Fermat spiral array, and the reflecting surface of each sub-aperture is opposite to the reflecting surface of the lens; the detector is positioned at the focal plane of the lens and at the side of each sub-aperture away from the lens; information light from an imaging target is reflected by the reflecting surface of each sub-aperture, reaches the reflecting surface of the lens, is reflected again by the reflecting surface of the lens, reaches the detector, and is imaged by the detector. The invention can obtain higher quality images.

Description

Synthetic aperture imaging system
Technical Field
The invention belongs to the technical field of remote detection, and particularly relates to a synthetic aperture imaging system.
Background
The higher the resolution, the higher the system observed image quality, for an optical telescope system applied to astronomical observation or earth observation. According to the Rayleigh standard measurement, the resolution of the single-aperture optical telescope system is mainly limited by the size of the observation caliber, but the cost and the manufacturing difficulty of the telescope are in direct proportion to the caliber size of the telescope, so that the unlimited improvement of the size of the single-aperture telescope is not preferable. The synthetic aperture imaging system utilizes a plurality of small aperture combinations, so that the resolution can be compared with that of a single large aperture system, the cost is effectively reduced, the manufacturing difficulty is reduced, the visual effect of the synthetic aperture is shown in figure 1, the imaging effect of the combination of a plurality of apertures with the diameter d is equivalent to that of a single aperture with the diameter Deff. In the synthetic aperture imaging technology, in order to obtain a high-quality imaging effect, on one hand, phase errors among all sub-apertures and respective adjustment errors need to be effectively controlled; on the other hand, the sub-aperture arrangement of the synthetic aperture needs to be optimized to obtain more efficient imaging results.
At present, the traditional arrangement mode of the multi-aperture system application is circular arrangement or regular hexagon arrangement, the two arrangement modes can effectively obtain the imaging resolution of a single equivalent large aperture, but the point spread function (Point Spread Function, PSF) and the modulation transfer function (Modulation Transfer Function, MTF) of the synthetic aperture imaging system are closely related to the distance vector between every two sub-apertures, and the PSF and the MTF determine the imaging quality of the system. The symmetrical structure of the circular and hexagonal shape can generate a plurality of repeated distance vectors, so that the side lobe intensity of the PSF is higher, the MTF is lost at certain intermediate frequencies, the intermediate frequency intensity at certain positions of the MTF is changed drastically, the imaging ringing effect is caused, and the imaging quality of the synthetic aperture system is further affected.
Disclosure of Invention
In order to solve the above-described problems in the related art, the present invention provides a synthetic aperture imaging system. The technical problems to be solved by the invention are realized by the following technical scheme:
the present invention provides a synthetic aperture imaging system comprising:
lenses, detectors, and synthetic apertures;
the lens is positioned on one side of the imaging target;
the synthetic aperture is positioned on one side of the lens far away from the imaging target, and consists of a plurality of sub-apertures which are identical in size and are arranged in a Fermat spiral array, and the reflecting surface of each sub-aperture is opposite to the reflecting surface of the lens;
the detector is positioned at the focal plane of the lens and at the side of the sub-aperture away from the lens;
information light from the imaging target is reflected by the reflecting surface of each sub-aperture, reaches the reflecting surface of the lens, is reflected again by the reflecting surface of the lens, reaches the detector, and is imaged by the detector.
In some embodiments, the fermat spiral array is expressed using the following formula:
Figure BDA0004062425370000021
wherein N represents the number of sub-apertures ρ n The distance between the center position of the nth sub-aperture and the center of the spiral is represented, and s represents the uniformity and concentration degree of the Fermat spiral array; phi (phi) n Represents the angle beta of the central position of the nth sub-aperture relative to the polar axis 1 Represents the angular displacement between the nth sub-aperture and the n-1 th sub-aperture, and pi represents the circumference ratio.
In some embodiments, the lens is a convex lens and each sub-aperture is a mirror.
In some embodiments, each sub-aperture has a diameter of 1.14mm.
In some embodiments, the synthetic aperture consists of 19 to 91 sub-apertures of the same size arranged in a fermat spiral array.
The invention has the following beneficial technical effects:
the sub-aperture arrangement mode designed by the invention can effectively reduce the sidelobe intensity of the PSF of the system and reduce the loss of the MTF at the intermediate frequency (improve the intermediate frequency intensity of the MTF) on the premise of ensuring the resolution of the system, thereby being beneficial to improving the imaging quality; and, the information light from the imaging target passes through each sub-aperture first, and then the information light is reflected by the lens onto the detector placed on the focal plane of the lens to image the target, so that a higher quality image can be obtained.
The present invention will be described in further detail with reference to the accompanying drawings and examples.
Drawings
FIG. 1 is a schematic view of a synthetic aperture visual effect provided by an embodiment of the present invention;
FIG. 2 is a schematic cross-sectional view of an exemplary synthetic aperture imaging system provided in accordance with an embodiment of the present invention;
FIG. 3 is a schematic diagram of an exemplary synthetic aperture provided by an embodiment of the present invention;
FIG. 4 is a schematic diagram of another exemplary synthetic aperture provided by an embodiment of the invention;
FIG. 5 is a two-dimensional distribution diagram of a point spread function obtained by performing a point spread function calculation on a synthetic aperture imaging system using MATLAB numerical simulation software according to an embodiment of the present invention;
FIG. 6 is a graph of a logarithmic scale of a one-dimensional cross section of a point spread function obtained by performing a point spread function calculation on a synthetic aperture imaging system using MATLAB numerical simulation software in accordance with an embodiment of the present invention;
FIG. 7 is a two-dimensional distribution diagram of a modulation transfer function obtained by performing modulation transfer function calculation on another synthetic aperture imaging system by MATLAB numerical simulation software according to an embodiment of the present invention;
fig. 8 is a one-dimensional half-profile graph of a modulation transfer function obtained by performing a modulation transfer function calculation on another synthetic aperture imaging system using MATLAB numerical simulation software according to an embodiment of the present invention.
Detailed Description
The present invention will be described in further detail with reference to specific examples, but embodiments of the present invention are not limited thereto.
In the description of the present invention, the terms "first," "second," and the like are used for descriptive purposes only and are not to be construed as indicating or implying relative importance or implicitly indicating the number of technical features indicated. Thus, a feature defining "a first" or "a second" may explicitly or implicitly include one or more such feature. In the description of the present invention, the meaning of "a plurality" is two or more, unless explicitly defined otherwise.
In the description of the present specification, a description referring to terms "one embodiment," "some embodiments," "examples," "specific examples," or "some examples," etc., means that a particular feature, structure, material, or characteristic described in connection with the embodiment or example is included in at least one embodiment or example of the present invention. In this specification, schematic representations of the above terms are not necessarily directed to the same embodiment or example. Furthermore, the particular features, structures, materials, or characteristics described may be combined in any suitable manner in any one or more embodiments or examples. Further, one skilled in the art can engage and combine the different embodiments or examples described in this specification.
Although the invention is described herein in connection with various embodiments, other variations to the disclosed embodiments can be understood and effected by those skilled in the art in practicing the claimed invention, from a study of the drawings, the disclosure, and the appended claims. In the claims, the word "comprising" does not exclude other elements or steps, and the "a" or "an" does not exclude a plurality. A single processor or other unit may fulfill the functions of several items recited in the claims. The mere fact that certain measures are recited in mutually different dependent claims does not indicate that a combination of these measures cannot be used to advantage.
Example 1
Fig. 2 is a cross-sectional view of a synthetic aperture imaging system according to an embodiment of the invention, as shown in fig. 2, the synthetic aperture imaging system comprising: a lens 11, a detector 12 and a synthetic aperture 13. The lens 11 is located on one side of the imaging target. The synthetic aperture 13 is located on the side of the lens 11 remote from the imaging target, and the synthetic aperture 13 is composed of a plurality of sub-apertures 131 of the same size arranged in a fermat spiral array, the reflecting surface of each sub-aperture 131 being opposite to the reflecting surface of the lens. The detector 12 is located at the focal plane of the lens 11 and at the side of the sub-aperture 131 remote from the lens 11. As shown in fig. 2, the information light from the imaging target (not shown in fig. 2) is reflected by the reflecting surface of each sub-aperture 131, reaches the reflecting surface of the lens 11, is reflected again by the reflecting surface of the lens 11, reaches the detector 12, and is imaged by the detector 12.
In some embodiments, the lens 11 may be a convex lens.
In some embodiments, the sub-aperture 131 is a mirror.
In the embodiment of the invention, the Fermat spiral array can be expressed by the following formula:
Figure BDA0004062425370000051
wherein N represents the number of sub-apertures ρ n The distance between the center position of the nth sub-aperture and the center of the spiral is represented, and s represents the uniformity and concentration degree of the Fermat spiral array; phi (phi) n Represents the angle beta of the central position of the nth sub-aperture relative to the polar axis 1 Represents the angular displacement between the nth sub-aperture and the n-1 th sub-aperture, and pi represents the circumference ratio.
Here, the above formula is for a polar coordinate system, and the positions are all polar coordinate positions.
Here, beta 1 And the numerical value of s can be set according to actual needs; exemplary, beta 1 May be 1.618.
Here, the number of sub-apertures constituting the synthetic aperture, and the diameter size of each sub-aperture may be set according to actual needs. Illustratively, the synthetic aperture may be comprised of 19 to 91 sub-apertures of the same size arranged in a fermat spiral array, and the greater the number of sub-apertures, the more pronounced the effect.
Illustratively, FIG. 3 is a schematic representation of a synthetic aperture. As shown in fig. 3, the synthetic aperture consists of 37 sub-apertures, each having a radius R of 1.14mm and a radius R of 10.28mm; and, as shown in fig. 3, the 37 sub-apertures are arranged in a fermat spiral array.
Still another example, fig. 4 is a schematic diagram of another synthetic aperture. As shown in fig. 4, the synthetic aperture consists of 61 sub-apertures, each having a radius R of 1.14mm and a radius R of 12.86mm; and, as shown in fig. 4, the 61 sub-apertures are arranged in a fermat spiral array.
Example two
The beneficial effects of the synthetic aperture imaging system provided by the invention are further described below through experimental data.
1) Using Matlab software to carry out numerical simulation on an imaging system which comprises 37 sub-apertures, the radius of each sub-aperture is 1.14mm, the radius of a circumcircle is 10.28mm, and the area filling factor is 0.454, and respectively analyzing the point spread function and the modulation transfer function of the imaging system:
the point spread function of the imaging system is calculated according to the following formula:
Figure BDA0004062425370000061
wherein, MTF sub (f x ,f y ) Representing the point spread function of each sub-aperture, N representing the number of sub-apertures, λ representing the wavelength of light incident on the system, f representing the distance from the pupil plane to the imaging plane, Δx and Δy representing the lateral and longitudinal distances, respectively, between the central positions of any two sub-apertures. The two-dimensional distribution of the calculated point spread function is shown in fig. 5 when the input wavelength λ is 600nm and f is 400 mm. As shown in fig. 5, the point spread function of the synthetic aperture imaging system arranged according to the fermat spiral array has the side lobe intensity obviously lower than the central main lobe, and the point spread function intensity concentrated on the main lobe is improved. The one-dimensional cross-sectional log scale curve of the point spread function is shown in fig. 6. As shown in fig. 6, the point spread function of a synthetic aperture imaging system arranged in a fermat spiral array has a side lobe intensity that is on average 12.8dB lower than that obtained using a conventional array; thus, the description follows the Fermat spiralThe imaging system of the array has a better point spread function, and is beneficial to improving the imaging quality.
The modulation transfer function of the imaging system is calculated according to the following formula:
Figure BDA0004062425370000062
wherein, MTF sub (f x ,f y ) Representing the modulation transfer function of each sub-aperture, N representing the number of sub-apertures, λ representing the wavelength of light incident on the system, f representing the distance from the pupil plane to the imaging plane, Δx and Δy representing the lateral and longitudinal distances, respectively, between the central positions of any two sub-apertures. The two-dimensional distribution of the calculated modulation transfer function is shown in fig. 7 when the input wavelength λ is 600nm and f is 400 mm. As shown in fig. 7, the cut-off frequency of the modulation transfer function of the synthetic aperture imaging system arranged in the fermat spiral array is equivalent to that of the imaging system using the conventional array, so that the resolution of the imaging system is not lowered, and the loss of the intermediate frequency is reduced and the average intensity of the intermediate frequency is raised. The one-dimensional half-profile curve of the modulation transfer function is shown in fig. 8. As shown in fig. 8, the medium frequency intensity changes smoothly, and there is no phenomenon of drastic change, so that the ringing effect of the imaging system using the conventional array arrangement can be effectively reduced, and thus, the imaging quality of the imaging system can be effectively improved according to the fermat spiral array arrangement.
2) The numerical calculations of the point spread function and the modulation transfer function were also performed for an imaging system comprising 37 sub-apertures, each with a radius of 1.14mm, a radius of 10.28mm for a circumscribed circle, and an area fill factor of 0.454 under multi-wavelength incidence conditions, e.g., three wavelength conditions of 457nm, 532nm, and 633nm, and eleven wavelength conditions of 380nm-780nm wavelength interval 40 nm. At three wavelengths, the side lobe intensity of the point spread function of the imaging system is 13.85dB lower than that of an imaging system using a conventional array, the medium frequency average intensity of the modulation transfer function of the imaging system is higher than that of an imaging system using a conventional array, and the loss is less. At eleven wavelengths, the side lobe intensity of the point spread function of the imaging system was 13.95dB lower than that of the imaging system using the conventional array, and the modulation transfer function of the imaging system was also superior to that of the imaging system using the conventional array. Therefore, the synthetic aperture imaging system with sub-aperture arrangement according to the Fermat spiral array arrangement can still effectively improve the imaging quality of the imaging system under the condition of multi-wavelength incidence.
3) For a synthetic aperture imaging system with the number of sub-apertures being 61, the radius of each sub-aperture being 1.14mm, the radius of an circumcircle being 12.86mm and the area filling factor being 0.4794, the Matlab is also utilized to calculate a point spread function and a modulation transfer function for the synthetic aperture imaging system, and the side lobe intensities of the point spread function are found to be 17.45dB, 18.65dB and 26.3dB lower than those of the imaging system using a traditional array under the conditions of single wavelength, three wavelength and eleven wavelength, so that the medium frequency average intensity of the modulation transfer function is improved, and the medium frequency loss is reduced. Therefore, under the condition of increasing the number of sub-apertures, the Fermat spiral array designed by the invention can still optimize the point spread function and the modulation transfer function of the synthetic aperture imaging system, and the imaging performance of the imaging system is improved.
The Fermat spiral array is applied to sub-aperture arrangement of a synthetic aperture imaging system, and the characteristic of asymmetric distribution is utilized, so that the side lobe intensity of a point spread function of the system can be effectively reduced, and the intensity concentrated on a main lobe of the point spread function is improved; the invention applies the Fermat spiral array to the synthetic aperture imaging, can effectively improve the medium frequency average intensity of the modulation transfer function of the system, reduce the loss of the medium frequency and the phenomenon of drastic change of the medium frequency intensity, avoid the ringing effect of the imaging and improve the imaging quality of the system; the Fischer-Tropsch spiral array sub-aperture arrangement mode adopted by the invention can realize the arrangement optimization of a synthetic aperture imaging system without adding extra devices under the condition of the original traditional system, can effectively control the cost of the system and simultaneously improve the imaging performance of the system.
The foregoing is a further detailed description of the invention in connection with the preferred embodiments, and it is not intended that the invention be limited to the specific embodiments described. It will be apparent to those skilled in the art that several simple deductions or substitutions may be made without departing from the spirit of the invention, and these should be considered to be within the scope of the invention.

Claims (5)

1. A synthetic aperture imaging system, comprising:
lenses, detectors, and synthetic apertures;
the lens is positioned on one side of the imaging target;
the synthetic aperture is positioned on one side of the lens far away from the imaging target, and consists of a plurality of sub-apertures which are identical in size and are arranged in a Fermat spiral array, and the reflecting surface of each sub-aperture is opposite to the reflecting surface of the lens;
the detector is positioned on the focal plane of the lens and on the side of the sub-aperture away from the lens;
information light from the imaging target is reflected by the reflecting surface of each sub-aperture, reaches the reflecting surface of the lens, is reflected again by the reflecting surface of the lens, reaches the detector, and is imaged by the detector.
2. The synthetic aperture imaging system of claim 1, wherein the fermat spiral array is formulated as follows:
Figure FDA0004062425350000011
wherein N represents the number of sub-apertures ρ n The distance between the center position of the nth sub-aperture and the center of the spiral is represented, and s represents the uniformity and concentration degree of the Fermat spiral array; phi (phi) n Represents the angle beta of the central position of the nth sub-aperture relative to the polar axis 1 Represents the angular displacement between the nth sub-aperture and the n-1 th sub-aperture, and pi represents the circumference ratio.
3. The synthetic aperture imaging system of claim 1 wherein the lens is a convex lens and each sub-aperture is a mirror.
4. The synthetic aperture imaging system of claim 1 wherein each sub-aperture has a diameter of 1.14mm.
5. The synthetic aperture imaging system of claim 1 wherein the synthetic aperture is comprised of 19-91 sub-apertures of the same size arranged in a fermat spiral array.
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