CN101435913A - Non-barrier three-reflector optical system - Google Patents
Non-barrier three-reflector optical system Download PDFInfo
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- CN101435913A CN101435913A CNA2008101899387A CN200810189938A CN101435913A CN 101435913 A CN101435913 A CN 101435913A CN A2008101899387 A CNA2008101899387 A CN A2008101899387A CN 200810189938 A CN200810189938 A CN 200810189938A CN 101435913 A CN101435913 A CN 101435913A
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Abstract
The invention discloses an unshielded three-reflector optical system, which can be used in a wide spectral imaging system with wave band from ultraviolet to infrared, and is particularly applicable to a preposed object lens of a spectrum imager. The system consists of a main reflector, a secondary reflector and a third reflector with aperture ratio of 1/0.5-1/3; the system avoids shielding through inclining elements; a beam path of the system is telecentric beam path in the image side; a principle ray of zero field coverage is spread along links of the vertex of each element; a diaphragm is arranged on the secondary reflector; the secondary reflector is arranged on a focal plane of the third reflector; focal power of the main reflector, the secondary reflector and the third reflector is positive, negative and positive respectively; curvature radiuses of the vertexes of the three reflectors approximately meet the condition of Petzval; and types of the three reflectors are Zernike free surfaces. The system has reasonable residual aberration distribution to greatly improve image quality, and can easily avoid shielding, so that the effective use area of each mirror face is equivalent to an original mirror; and the primary ray of the zero field coverage of the system moves along the links of the vertex of each surface, thereby facilitating the processing, assembly and regulation of the system.
Description
Technical field
The present invention relates to a kind of optical system, particularly a kind of nothing is blocked the object lens of large relative aperture three-reflector optical system, can use in band from ultraviolet and arrive infrared wide spectrum imaging system, is specially adapted to the optical spectrum imagers pre-objective, belongs to optical technical field.
Background technology
At present, in the design of Optical System field, non-barrier three-reflector optical system generally all adopts quadric surface or adds the even aspheric surface and designs." a kind of design of imaging spectrometer pre-objective " ([J]. the photon journal, 2003,29 (4): 498-499) in the literary composition, a kind of optical system is disclosed, referring to accompanying drawing 1, it is made up of primary mirror M1, secondary mirror M2 and three mirror M3, in this system, female mirror size is far longer than effectively utilizes size, the optical system picture element that adopts this type to design neither be very desirable, uses owing to the rotational symmetry of element with from axle, often makes the distribution of residual aberration on the image planes very inhomogeneous, the residual aberration of a certain band is very big, does not satisfy request for utilization.In addition, cause zero visual field chief ray not advance, debug to system and bring very big trouble along the fixed point of each element owing to the eccentric of each element with from axle.
In recent years, the processing detection technique of freeform optics surface has obtained development faster, and optical designers adopts free form surface to become possibility in design of Optical System.The existing both at home and abroad report that much utilizes free form surface design illumination optical optical projection system, " utilize CODE V design to contain the optical system of free form surface " ([J]. applied optics .2006,27 (2), 120～123) in the literary composition, introduced the design of Optical System of free form surface.
The Zernike polynomial expression is non-rotating symmetrical equation, " The mumbers of Optical ResearchAssociates.Eentering Surface Shape and Position[A]. (and Code V electronicDocument library[C] .2004; Vol (I); 4-99～4-101). in the literary composition; use the Zernike polynomial expression and describe free form surface, formula is as follows:
Wherein:
Z is the rise on the parallel z direction of principal axis,
C is a vertex curvature,
K is the quadric surface coefficient,
Z
jIt is j item zernike polynomial expression formula (from 1 to 66)
C
J+1Be Z
jThe coefficient of item,
r
2=x
2+ y
2Be the distance of arbitrfary point on the element to the z axle.
Because some coefficient and the Seide of optical system (match) coefficient of Zernike polynomial expression has corresponding relation, for the correction of system aberration provides the more freedom variable, system optimization the time, can carry out aberration control targetedly, reach that aberration evenly distributes on the image planes; The asymmetry on surface can tilt to compensate correction to the off-centre of system, when making system avoid blocking, can not occur adopting quadric surface to design that the female mirror of this system is excessive to be unfavorable for processing situation about debuging, can be under the situation that satisfies the aberration requirement, realize object lens of large relative aperture, do not have the design of blocking system.
This polynomial expression is to having the expression formula under the polar coordinates (R and θ), physical relationship such as table 1.
Table 1:Zernike polynomial expression with match the aberration corresponding relation
| Z j | Zernike polynomial expression (polar coordinates) | Zernike polynomial expression (rectangular coordinate) | The Seide |
| 1 | 1 | 1 | Constant term |
| 2 | Rcos?θ | x | The x direction tilts |
| 3 | Rsin?θ | y | The Y direction tilts |
| 4 | R 2cos?2θ | 2(x 2+y 2)-1 | Out of focus |
| 5 | 2R 2-1 | x 2-y 2 | Become 0 or 90 degree astigmatisms with the x axle |
| 6 | R 2?sin?2θ | 2xy | Become 45 degree astigmatisms with the y axle |
| 7 | R 3?cos?3θ | 3x(x 2+y 2)-2x | Three grades of comas of X-axis |
| 8 | 3R 3?cos?θ-2Rcos?θ | 3y(x 2+y 2)-2y | Three grades of comas of Y-axis |
| 9 | 3R 3?sin?θ-2?Rsin?θ | 6(x 2+y 2)-6(x 2+y 2)+1 | Three grades of spherical aberrations |
| 10 | R 3?sin?3θ | x 3-3xy 2 | Be used for the balance senior aberration |
| 11 | ... | ... | Be used for the balance senior aberration |
In the table:
R is utmost point footpath under the polar coordinates,
θ is a polar angle under the polar coordinates,
X is the horizontal ordinate of element surface arbitrfary point under the rectangular coordinate system
Y be under the rectangular coordinate system element surface arbitrfary point ordinate.
Yet, free form surface is applied to yet there are no report in the optical system of optical spectrum imagers pre-objective.
Summary of the invention
In order to overcome the deficiency that prior art exists, the invention provides a kind of compact conformation, the image quality height is debug easily from the axle three-reflector optical system.
To achieve the above object of the invention, the technical solution adopted in the present invention is: a kind of non-barrier three-reflector optical system, to form by primary mirror (M1), secondary mirror (M2) and three mirrors (M3), and relative aperture (D/f) is 1/0.5～1/3; System's focal power is respectively Negative-Positive-Negative in the focal power of primary mirror, secondary mirror and three mirrors; Chief ray is propagated along the summit line of three catoptrons; The face type of described three catoptrons is the Zernike polynomial free curved surface, and their vertex curvature radius is similar to satisfied ten thousand conditions now
Wherein, r
1, r
2And r
3Be respectively the radius of primary mirror, secondary mirror and three mirrors.
Above, described vertex curvature radius is approximate, and to satisfy ten thousand conditions now are terms in the optics, because condition restriction, can not realize satisfying fully ten thousand conditions now in actual fabrication, and this does not influence the realization of said system.Usually, Jin Si error range is ± 10
-4(1/mm).
The diaphragm of system is placed on the secondary mirror, and secondary mirror is positioned on the focal plane of three mirrors; Image planes are apart from the distance of the secondary mirror sixth greater than focal length; Its wavelength coverage of using arrives infrared wide spectral band as ultraviolet; The aberration balancing control coefrficient of system is corresponding with the multinomial coefficient of Zernike polynomial free curved surface.
Compared with prior art, the present invention has following tangible advantage:
1. traditional quadric surface or even aspheric surface have rotational symmetry, have reduced the free variable of system, particularly for the off axis reflector system, owing to avoid blocking, system has lost rotational symmetry and the residual aberration on the image planes can not reasonably be distributed, and available fields reduces greatly.The present invention is because the component side type adopts the Zernike free form surface, be non-rotating symmetroid, degree of freedom is more than quadric surface and even aspheric surface, when element tilts to avoid blocking, select control by suitable visual field, can obtain more rational residual aberration and distribute, picture element has also had raising greatly than two kinds of face types that use the front in addition.
2. can utilize the corresponding relation of Zernike polynomial expression and optical system aberration to carry out aberration control.Studies show that, Zernike polynomial preceding four irrelevant with the aberrations of optical system, since the 5th to the 9th, their corresponding respectively three kinds of primary aberrations of optical system.Zernike polynomial expression under the polar coordinates has orthogonality between each, the wavefront difference that can normalization be described as optical system, so the coefficient of the item that passes through control Zernike polynomial expression correspondence that can be independent comes balance spherical aberration, coma, astigmatism, utilizes other to come balance residue senior aberration as the tenth, 11.
3. the relative aperture of optical system increases.Under the condition that relative aperture increases, the senior aberration of optical system is big more, and systematically design difficulty also will increase greatly, and the relative aperture of use quadric surface and even aspheric surface system generally about 1/3, is unfavorable for processing and debuging.
4. system can avoid blocking easily, just can realize as long as certain inclination takes place each element.Effective usable floor area of each minute surface is suitable with female mirror, does not exist female mirror to be far longer than the situation of effective use minute surface, carries out aberration compensation.
5. the visual field under corresponding object lens of large relative aperture is big visual field.Owing to adopted Zernike polynomial expression definition free form surface, can enlarge the field angle of system.The various aberrations of optical system and the size of field angle be direct relation again, field angle increases, design difficulty rises, at relative aperture during in 1/3 left and right sides, if adopt quadric surface or even aspheric surface to design, the visual field generally can not surpass 3 degree, and aberration to distribute on image planes be not very even, use the Zernike free form surface to define the surface of optical element, can enlarge the field angle of system, in when design aberration situation of each visual field of constrained targetedly, make it reach reasonable distribution.
6. system is easy to realize as Fang Yuanxin, is similar to satisfied ten thousand conditions now.When system is telecentric beam path in image space, compare with non-telecentric beam path, reduced the free variable of system, increase the system design difficulty.The telecentric beam path in image space implementation method is that diaphragm is placed on the secondary mirror, and secondary mirror is on the focal plane of three mirrors.
7. zero visual field chief ray is propagated to help processing along each element summit line and is debug.Owing to adopted Zernike polynomial expression definition free form surface, increase the free variable of system, in the time of the element run-off the straight, chief ray can not depart from systematic optical axis, helps follow-up processing and debugs.
8. back work distance is from greater than 50mm, and operating distance is big, helps the placement of receiving device and optical filter.
9. structure is compact more, and distance L 1, L2, L3 are between 7mm～50mm.
Description of drawings
Fig. 1 is the structural representation from the axle three-reflector optical system that adopts the quadric surface design;
Fig. 2 is the structural representation that blocks the object lens of large relative aperture three-reflector optical system by the nothing that the embodiment of the invention 1 technical scheme provides;
Fig. 3 blocks the modulation transfer function (MTF) curve map of object lens of large relative aperture three-reflector optical system at place, picture plane by the nothing that the embodiment of the invention 1 technical scheme provides;
Fig. 4 blocks the astigmatism figure of place, the full field image of object lens of large relative aperture three-reflector optical system plane by the nothing that the embodiment of the invention 1 technical scheme provides;
Fig. 5 blocks the point range figure of each visual field of object lens of large relative aperture three-reflector optical system on the picture plane by the nothing that the embodiment of the invention 1 technical scheme provides;
Fig. 6 is the structural representation that blocks the object lens of large relative aperture three-reflector optical system by the nothing that the embodiment of the invention 2 technical schemes provide;
Fig. 7 blocks the modulation transfer function (MTF) curve map of object lens of large relative aperture three-reflector optical system at place, picture plane by the nothing that the embodiment of the invention 2 technical schemes provide;
Fig. 8 blocks the astigmatism figure of place, the full field image of object lens of large relative aperture three-reflector optical system plane by the nothing that the embodiment of the invention 2 technical schemes provide;
Fig. 9 blocks the point range figure of each visual field of object lens of large relative aperture three-reflector optical system on the picture plane by the nothing that the embodiment of the invention 2 technical schemes provide;
Figure 10 is the structural representation that blocks the object lens of large relative aperture three-reflector optical system by the nothing that the embodiment of the invention 3 technical schemes provide;
Figure 11 blocks the modulation transfer function (MTF) curve map of object lens of large relative aperture three-reflector optical system at place, picture plane by the nothing that the embodiment of the invention 3 technical schemes provide;
Figure 12 blocks the astigmatism figure of place, the full field image of object lens of large relative aperture three-reflector optical system plane by the nothing that the embodiment of the invention 3 technical schemes provide;
Figure 13 blocks the point range figure of each visual field of object lens of large relative aperture three-reflector optical system on the picture plane by the nothing that the embodiment of the invention 3 technical schemes provide;
Wherein, M1 is a primary mirror, and M2 is a secondary mirror, and M3 is three mirrors, and I is image planes.
Embodiment
Below in conjunction with drawings and Examples the present invention is further described:
Embodiment 1:
Referring to accompanying drawing 2, it is the structural representation of present embodiment optical system; Wherein, M1 is a primary mirror, M2 is a secondary mirror, and M3 is three mirrors, and I is image planes, L1 is when avoiding blocking, the light of edge bottom of M1 and the uppermost edge light of M2 is in the distance perpendicular to optical axis direction, and L2 is when avoiding blocking, and the light of edge bottom of M1 and the uppermost edge light of M3 are in the distance perpendicular to optical axis direction, L3 is when avoiding blocking, and the light of edge bottom of M2 and the uppermost edge light of M3 are in the distance perpendicular to optical axis direction.
The relative aperture D/f of system is 1, focal length 360mm, 3 ° * 0.02 ° of field angle.System avoids blocking from axle; The light path of system is picture Fang Yuanxin, chief ray is propagated along each element summit line, and diaphragm is placed on the secondary mirror, and secondary mirror is on the focal plane of three mirrors, the focal power of primary mirror, secondary mirror and three mirrors is respectively concave, convex and recessed, and three power of mirror myopia satisfy this ten thousand condition
Wherein, r
1, r
2And r
3Be respectively the radius of primary mirror, secondary mirror and three mirrors; The face type of three catoptrons is the Zernike free form surface, and by the optical design software optimal design, the system's concrete structure parameter and the Zernike multinomial coefficient that obtain are listed in table 2.
Table 2: system structure parameter and Zernike coefficient
| Parameter (multinomial coefficient) | Mirror?1 | Mirror?2 | Mirror?3 |
| Radius (mm) | -3000 | -929 | -470 |
| (mm) at interval | -505.00 | 283 | -470 |
| Half bore (mm) | 217 | 100 | 109 |
| Tilt quantity (°) | 23.13 | 14.5 | 2.5 |
| Offset (mm) | -364.88 | -435.60 | -614.48 |
| The quadric surface coefficient | -0.6687 | 5.0755 | -0.4413 |
| C4(C1＝C2＝C3＝0) | -4.90×10 -5 | -4.6×10 -4 | -1.50×10 -4 |
| C5 | -6.24×10 -5 | -2.3×10 -4 | 1.6×10 -4 |
| C6 | -4.73×10 -12 | -1.21×10 -11 | 1.02×10 -11 |
| C7 | 4.28×10 -16 | -5.48×10 -14 | 9.78×10 -16 |
| C8 | -2.18×10 -15 | -9.78×10 -14 | -1.94×10 -14 |
| C9 | 1.90×10 -8 | 1.33×10 -7 | 5.35×10 -8 |
| C10 | 6.44×10 -9 | 1.87×10 -7 | 5.52×10 -8 |
| C11 | 6.24×10 -13 | 1.03×10 -10 | 1.1×10 -11 |
| C12 | 7.24×10 -12 | 8.21×10 -11 | 3.42×10 -11 |
Image planes I is 130mm to the distance of secondary mirror M2 (back work distance from), and the system architecture size is about 410mm (z) * 650mm (y) * 420mm (x).L1, L2, L3 are respectively 40mm, 50mm, 7mm.
Table 3 has provided the distortion value of system on the picture plane, and as can be seen from Table 3, systematical distortion has asymmetry, and a half field-of-view is barrel-shaped barrel distortion, and second half visual field then is pincushion pincushion distortion.Be 2.4m along the maximum visual field place's maximum distortion absolute value that uses of x direction, much smaller than system's pixel dimension.In addition, the distortion of system's existence also can be finished correction by subsequent image processing.
Table 3: as the distortion value on the plane
| The visual field (°) | 1.5，0.01 | 0.75，0.01 | 0，0 | -0.75，-0.01 | -1.50，-0.01 |
| Distortion (um) | -2.4 | -1.42 | 0 | 1.42 | 2.4 |
Fig. 1 is the structural representation from the axle three-reflector optical system that adopts the quadric surface design; Fig. 2 is the structural representation of present embodiment optical system; Referring to accompanying drawing 1 and accompanying drawing 2, as seen from Figure 1, the geometric center of each element that zero visual field chief ray departs from is closed processing for debuging of system and has all been brought very big inconvenience, and each element can't be realized the location, does not have benchmark to come light path is adjusted.In Fig. 2, zero visual field chief ray is advanced along the summit line of each face, gives the processing of system and debugs and all brought very big convenience.
Fig. 3 is the present embodiment optical system at the modulation transfer function (MTF) curve map at place, picture plane, because element is a free form surface, puts and estimates so will choose a plurality of visual fields.Referring to accompanying drawing 3, curve a1, b1, c1 represent (0,0), (1.5 respectively among the figure,-0.01), (1.5,0.01) locate the transport function situation, visible image quality is near diffraction limit, and the nyquist frequency 35lp/mm place mtf value of equivalent pixel dimension correspondence is greater than 0.75 in the focal plane.
Fig. 4 is the astigmatism figure of place, the full field image of present embodiment optical system plane.Along with field angle of object changes, the size and the orientation of this visual field point astigmatism of the length of line and direction indication.As can be seen from Figure 4, what rule astigmatism does not exist change on as the plane, and astigmatism distribution is more even, this be and the rotation symmetric element between maximum difference.Astigmatism minimum value 1.4m, maximal value is 6.6m, the complete average 3.9m in visual field.
Fig. 5 is the point range figure of each visual field of present embodiment optical system on the picture plane, square among the figure is represented detector pixel size 7.5m, full visual field point range figure root-mean-square value is 4.3m to the maximum, and much smaller than the size of a pixel, the system imaging quality is near diffraction limit.
Embodiment 2:
Referring to accompanying drawing 6, it is the structural representation of present embodiment optical system; Wherein M1 is a primary mirror, and M2 is a secondary mirror, and M3 is three mirrors.Focal length is 360mm, and the relative aperture of system is 1/2.4, and field angle is 3 ° * 0.02 °.
The diaphragm of system is on secondary mirror, and secondary mirror M2 is on the focal plane of three mirror M3, and as Fang Yuanxin, back work distance is 80mm from image planes I to the distance of secondary mirror M2, and the system architecture size is about 280mm (z) * 240mm (y) * 150mm (x).L1, L2, L3 are respectively 10mm, 10mm, 10mm.Each minute surface radius is similar to satisfied ten thousand conditions now.Three minute surfaces are the Zernike free form surface, and by the optical design software optimal design, the system's concrete structure parameter and the Zernike multinomial coefficient that obtain are listed in table 4.
Table 4: system structure parameter and Zernike multinomial coefficient
| Parameter (multinomial coefficient) | Mirror?1 | Mirror?2 | Mirror?3 |
| Radius (mm) | -1872.00 | -399.22 | -520 |
| (mm) at interval | -260 | 260 | -340 |
| Half bore (mm) | 83.14 | 34.88 | 58.64 |
| Tilt quantity (°) | 13.1 | 11.29 | 2.5 |
| Offset (mm) | -114.80 | -131.15 | -182.28 |
| The quadric surface coefficient | -6.823 | 0.00 | 0.3789 |
| C4(C1＝C2＝C3＝0) | 8.280×10 -5 | 1.2×10 -4 | 2.45×10 -5 |
| C5 | -1.3×10 -4 | -1.9×10 -4 | -4.12×10 -5 |
| C6 | -1.26×10 -7 | 8.60×10 -7 | 1.10×10 -7 |
| C7 | 2.04×10 -12 | -9.2×10 -11 | -2.72×10 -11 |
| C8 | -6.99×10 -11 | -8.08×10 -10 | -7.65×10 -14 |
| C9 | 3.14×10 -8 | -5.01×10 -8 | -4.67×10 -9 |
| C10 | 4.82×10 -10 | 3.07×10 -8 | 7.31×10 -10 |
Table 5 has provided the distortion that system exists, and systematical distortion has asymmetry as can be seen, and a half field-of-view is barrel-shaped barrel distortion, and then there is not distortion in second half visual field.Be 1.3m along the maximum visual field place's maximum distortion absolute value that uses of x direction, much smaller than system's pixel dimension.In addition, the distortion of system's existence also can be finished correction by subsequent image processing.
Table 5: as the distortion value on the plane
| The visual field (°) | 1.5，0.01 | 0.75，0.01 | 0，0 | -0.75，-0.01 | -1.50，-0.01 |
| Distortion (um) | -1.3 | -0.8 | 0 | 0 | 0 |
Fig. 7 is the present embodiment optical system at the modulation transfer function (MTF) curve map at place, picture plane, because element is a free form surface, puts and estimates so will choose a plurality of visual fields.Curve a2, b2, c2 represent (0,0), (1.5 ,-0.01), (1.5 respectively, 0.01) locate the transport function situation, d is the diffraction limit curve of system, and visible image quality is near diffraction limit, and the nyquist frequency 35lp/mm place mtf value of equivalent pixel dimension correspondence is greater than 0.8 in the focal plane.
Fig. 8 is the astigmatism figure of place, the full field image of present embodiment optical system plane, along with field angle of object changes, and the size and the orientation of this visual field point astigmatism of the length of line and direction indication.As can be seen from Figure 8 what rule astigmatism does not exist change on as the plane, and astigmatism distribution is more even, this be and the rotation symmetric element between maximum difference.Astigmatism minimum value 1.3m, maximal value is 4.5m, the complete average 2.4m in visual field.
Fig. 9 is the point range figure of each visual field of present embodiment optical system on the picture plane, round expression system diffraction Airy disk among the figure, diameter is 1.7m, full visual field point range figure root-mean-square value is 1.5m to the maximum, much smaller than the size of a pixel, the system imaging quality is near diffraction limit.
Embodiment 3:
Referring to accompanying drawing 10, it is the structural representation of present embodiment optical system.Wherein M1 is a primary mirror, and M2 is a secondary mirror, and M3 is three mirrors.Focal length 360mm, relative aperture D/f are 1/2.4,3 ° * 2 ° of field angle.
Secondary mirror M2 is on the focal plane of three mirror M3, and as Fang Yuanxin, back work distance is from for image planes I is 80mm to the distance of secondary mirror M2, and the system architecture size is about 800mm (z) * 240mm (y) * 150mm (x).L1, L2, L3 are respectively 20mm, 30mm, 10mm.Each radius surface is similar to satisfied ten thousand conditions now.Three minute surfaces are the Zernike free form surface, and diaphragm is on secondary mirror, and by the optical design software optimal design, the system's concrete structure parameter and the Zernike multinomial coefficient that obtain are listed in table 6.
Table 6: system structure parameter and Zernike multinomial coefficient
| Parameter (multinomial coefficient) | Mirror?1 | Mirror?2 | Mirror?3 |
| Radius (mm) | -989.70 | -801.54 | -1248.49 |
| (mm) at interval | -363.22 | 624.25 | -724.25 |
| Half bore (mm) | 92.30 | 40.25 | 76.93 |
| Tilt quantity (°) | 11.45 | 8.78 | 0.25 |
| Offset (mm) | -141.29 | -199.23 | -272.66 |
| The quadric surface coefficient | -0.8241 | -1.404 | 0.0 |
| C4(C1＝C2＝C3＝0) | 1.03×10 -5 | 6.36×10 -5 | 1.225×10 -4 |
| C5 | -4.2×10 -4 | -6.2×10 -5 | -8.83×10 -6 |
| C6 | -9.64×10 -10 | -4.73×10 -9 | -6.9×10 -10 |
| C7 | -1.33×10 -13 | -6.52×10 -13 | -1.3×10 -13 |
| C8 | -4.84×10 -14 | -9.58×10 -13 | -1.7×10 -13 |
| C9 | 7.16×10 -9 | -1.85×10 -8 | -5.5×10 -9 |
| C10 | -3.9×10 -11 | 6.9×10 -9 | 3.9×10 -10 |
Table 7 has provided the distortion that system exists, and systematical distortion has asymmetry as can be seen, and a half field-of-view is barrel-shaped barrel distortion, and second half visual field then is pincushion pincushion distortion.Be 2.4m along the maximum visual field place's maximum distortion absolute value that uses of x direction, much smaller than system's pixel dimension.In addition, the distortion of system's existence also can be finished correction by subsequent image processing.
Table 7: as the distortion on the plane
| The visual field (°) | 1.5，0.01 | 0.75，0.01 | 0，0 | -0.75，-0.01 | -1.50，-0.01 |
| Distortion (um) | -2.4 | -1.42 | 0 | 1.42 | 2.4 |
Figure 11 is the present embodiment optical system at the modulation transfer function (MTF) curve map at place, picture plane, because element is a free form surface, puts and estimates so will choose a plurality of visual fields.Curve a3, b3, c3 represent (0 respectively, 0), (1.5,-0.01), (1.5,0.01) locate the transport function situation, d is the diffraction limit curve of system, as seen image quality is near diffraction limit, and the nyquist frequency 35lp/mm place mtf value of equivalent pixel dimension correspondence is greater than 0.75 in the focal plane.
Figure 12 is the astigmatism figure of place, the full field image of present embodiment optical system plane, along with field angle of object changes, and the size and the orientation of this visual field point astigmatism of the length of line and direction indication.As can be seen from Figure 12 what rule astigmatism does not exist change on as the plane, and astigmatism distribution is more even, this be and the rotation symmetric element between maximum difference.Astigmatism minimum value 1.4m, maximal value is 6.6m, the complete average 3.9m in visual field.
Figure 13 is the point range figure of each visual field of present embodiment optical system on the picture plane, round expression system diffraction Airy disk among the figure, diameter is 1.7m, full visual field point range figure root-mean-square value is 1.5m to the maximum, much smaller than the size of a pixel, the system imaging quality is near diffraction limit.
Claims (5)
1. a non-barrier three-reflector optical system is made up of primary mirror (M1), secondary mirror (M2) and three mirrors (M3), and it is characterized in that: relative aperture (D/f) is 1/0.5～1/3; System's focal power is respectively Negative-Positive-Negative in the focal power of primary mirror, secondary mirror and three mirrors; Chief ray is propagated along the summit line of three catoptrons; The face type of described three catoptrons is the Zernike polynomial free curved surface, and their vertex curvature radius is similar to satisfied ten thousand conditions now
Wherein, r
1, r
2And r
3Be respectively the radius of primary mirror, secondary mirror and three mirrors.
2. non-barrier three-reflector optical system according to claim 1 is characterized in that: the diaphragm of system is placed on the secondary mirror, and secondary mirror is positioned on the focal plane of three mirrors.
3. non-barrier three-reflector optical system according to claim 1 is characterized in that: image planes are apart from the distance of the secondary mirror sixth greater than focal length.
4. non-barrier three-reflector optical system according to claim 1 is characterized in that: its wavelength coverage of using arrives infrared wide spectral band as ultraviolet.
5. non-barrier three-reflector optical system according to claim 1 is characterized in that: the aberration balancing control coefrficient of system is corresponding with the multinomial coefficient of Zernike polynomial free curved surface.
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| CN (1) | CN101435913B (en) |
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| CN101576591B (en) * | 2009-06-09 | 2011-11-23 | 北京邮电大学 | System and method for measuring compact range antenna by three reflectors |
| CN102289056A (en) * | 2011-09-27 | 2011-12-21 | 苏州大学 | Front objective lens with large field of view and large relative aperture for imaging spectrograph |
| CN102736237A (en) * | 2012-06-18 | 2012-10-17 | 北京空间机电研究所 | Optical system for space astronomical observation infra-red telescope |
| CN103149687A (en) * | 2013-03-04 | 2013-06-12 | 中国科学院长春光学精密机械与物理研究所 | Method for improving transfer function of large-visual-field reflective imaging optical system |
| CN103246053A (en) * | 2013-04-09 | 2013-08-14 | 长春理工大学 | Wide-width off-axis three-reflection-mirror optical system adopting free curved surface |
| CN103809278A (en) * | 2012-11-06 | 2014-05-21 | 清华大学 | Off-axis triple-reflector |
| CN103809277A (en) * | 2012-11-06 | 2014-05-21 | 清华大学 | Off-axis triple-reflector |
| CN105068229A (en) * | 2015-08-17 | 2015-11-18 | 哈尔滨工业大学 | Low-temperature collimating optical system |
| CN105334607A (en) * | 2015-12-05 | 2016-02-17 | 中国航空工业集团公司洛阳电光设备研究所 | No-blocking pure reflection optical system |
| CN106383401A (en) * | 2016-11-09 | 2017-02-08 | 苏州大学 | Ultra-wide field-of-view off-axis three-reflector optical imaging system |
| CN107615128A (en) * | 2015-03-18 | 2018-01-19 | 奥普图工程股份有限公司 | Telecentric lens |
| CN108917929A (en) * | 2018-05-24 | 2018-11-30 | 中国科学院上海微系统与信息技术研究所 | Terahertz confocal micro imaging system and its imaging method |
| CN109188666A (en) * | 2018-11-01 | 2019-01-11 | 长春理工大学 | Off-axis three reflecting optical system of 350mm bore 1778.9mm 0.4 ~ 5 mu m waveband of focal length |
| CN110908098A (en) * | 2019-11-11 | 2020-03-24 | 中国科学院上海技术物理研究所 | Large-view-field distortion-eliminating off-axis reflection optical system and design method |
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| CN111443473A (en) * | 2020-05-11 | 2020-07-24 | 杭州电子科技大学 | Compact off-axis reflective telephoto optical lens for mobile terminal |
| TWI706160B (en) * | 2019-01-25 | 2020-10-01 | 鴻海精密工業股份有限公司 | Freeform surface off-axial three-mirror imaging system |
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| Publication number | Priority date | Publication date | Assignee | Title |
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| CN101576591B (en) * | 2009-06-09 | 2011-11-23 | 北京邮电大学 | System and method for measuring compact range antenna by three reflectors |
| CN102289056A (en) * | 2011-09-27 | 2011-12-21 | 苏州大学 | Front objective lens with large field of view and large relative aperture for imaging spectrograph |
| CN102289056B (en) * | 2011-09-27 | 2013-03-06 | 苏州大学 | Front objective lens with large field of view and large relative aperture for imaging spectrograph |
| CN102736237B (en) * | 2012-06-18 | 2014-10-08 | 北京空间机电研究所 | Optical system for space astronomical observation infra-red telescope |
| CN102736237A (en) * | 2012-06-18 | 2012-10-17 | 北京空间机电研究所 | Optical system for space astronomical observation infra-red telescope |
| CN103809278B (en) * | 2012-11-06 | 2016-09-14 | 清华大学 | Off-axis three anti-mirrors |
| CN103809277A (en) * | 2012-11-06 | 2014-05-21 | 清华大学 | Off-axis triple-reflector |
| TWI485443B (en) * | 2012-11-06 | 2015-05-21 | Hon Hai Prec Ind Co Ltd | Off-axial three-mirror system |
| CN103809277B (en) * | 2012-11-06 | 2016-09-14 | 清华大学 | Off-axis three anti-mirrors |
| CN103809278A (en) * | 2012-11-06 | 2014-05-21 | 清华大学 | Off-axis triple-reflector |
| CN103149687A (en) * | 2013-03-04 | 2013-06-12 | 中国科学院长春光学精密机械与物理研究所 | Method for improving transfer function of large-visual-field reflective imaging optical system |
| CN103246053A (en) * | 2013-04-09 | 2013-08-14 | 长春理工大学 | Wide-width off-axis three-reflection-mirror optical system adopting free curved surface |
| CN107615128A (en) * | 2015-03-18 | 2018-01-19 | 奥普图工程股份有限公司 | Telecentric lens |
| CN105068229A (en) * | 2015-08-17 | 2015-11-18 | 哈尔滨工业大学 | Low-temperature collimating optical system |
| CN105334607A (en) * | 2015-12-05 | 2016-02-17 | 中国航空工业集团公司洛阳电光设备研究所 | No-blocking pure reflection optical system |
| CN106383401B (en) * | 2016-11-09 | 2019-09-10 | 苏州大学 | A kind of extremely wide field of view off-axis incidence optical imaging system |
| CN106383401A (en) * | 2016-11-09 | 2017-02-08 | 苏州大学 | Ultra-wide field-of-view off-axis three-reflector optical imaging system |
| TWI690727B (en) * | 2018-02-09 | 2020-04-11 | 鴻海精密工業股份有限公司 | Freeform surface imaging spectrometer system |
| CN108917929A (en) * | 2018-05-24 | 2018-11-30 | 中国科学院上海微系统与信息技术研究所 | Terahertz confocal micro imaging system and its imaging method |
| CN108917929B (en) * | 2018-05-24 | 2024-04-19 | 中国科学院上海微系统与信息技术研究所 | Terahertz confocal microscopic imaging system and imaging method thereof |
| CN109188666A (en) * | 2018-11-01 | 2019-01-11 | 长春理工大学 | Off-axis three reflecting optical system of 350mm bore 1778.9mm 0.4 ~ 5 mu m waveband of focal length |
| CN109188666B (en) * | 2018-11-01 | 2020-08-18 | 长春理工大学 | 0.4-5 mu m waveband off-axis three-mirror optical system with 350mm caliber and 1778.9mm focal length |
| TWI706160B (en) * | 2019-01-25 | 2020-10-01 | 鴻海精密工業股份有限公司 | Freeform surface off-axial three-mirror imaging system |
| CN110908098A (en) * | 2019-11-11 | 2020-03-24 | 中国科学院上海技术物理研究所 | Large-view-field distortion-eliminating off-axis reflection optical system and design method |
| CN111443473A (en) * | 2020-05-11 | 2020-07-24 | 杭州电子科技大学 | Compact off-axis reflective telephoto optical lens for mobile terminal |
| WO2023010718A1 (en) * | 2021-08-05 | 2023-02-09 | 中国科学院苏州生物医学工程技术研究所 | Elliptical hemispherical curved surface large-field-of-view high-throughput two-photon microscope |
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