CN110411716B - Method for measuring optical transfer function of U-shaped deflection thermal imager - Google Patents
Method for measuring optical transfer function of U-shaped deflection thermal imager Download PDFInfo
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- CN110411716B CN110411716B CN201910715956.2A CN201910715956A CN110411716B CN 110411716 B CN110411716 B CN 110411716B CN 201910715956 A CN201910715956 A CN 201910715956A CN 110411716 B CN110411716 B CN 110411716B
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- G—PHYSICS
- G01—MEASURING; TESTING
- G01M—TESTING STATIC OR DYNAMIC BALANCE OF MACHINES OR STRUCTURES; TESTING OF STRUCTURES OR APPARATUS, NOT OTHERWISE PROVIDED FOR
- G01M11/00—Testing of optical apparatus; Testing structures by optical methods not otherwise provided for
- G01M11/02—Testing optical properties
- G01M11/0292—Testing optical properties of objectives by measuring the optical modulation transfer function
Abstract
A method for measuring an optical transfer function of a U-shaped deflection thermal imager belongs to the field of photoelectric imaging, and particularly relates to an optical transfer function system for measuring an infrared thermal imager with an optical axis deflected by 180 degrees. The method comprises the steps that after the U-shaped folding thermal imager is matched with the U-shaped folding thermal imager through another infrared switching system, the imaging surface of the thermal imager is led out to a corresponding position, and the optical transfer function of the thermal imager is measured through an MTF measuring instrument. The method can solve the problem that the MTF measuring instrument cannot measure the complete thermal infrared imager with the U-shaped folding structure.
Description
Technical Field
The invention belongs to the field of photoelectric imaging, and particularly relates to an optical transfer function system of a thermal infrared imager with an optical axis being bent by 180 degrees.
Background
With the development of scientific technology, the requirements on the size of the thermal infrared imager in a weapon system are higher and higher. Two reflectors are basically adopted for U-shaped folding during the design of the thermal infrared imager, and the requirement on the system size is met by folding a light path. And in the U-shaped folding type layout, light rays are incident from a large objective lens and are converged to the image surface of the detector through a series of lenses and two reflectors, and the direction is folded by 180 degrees. As shown in figure 1.
For a refrigeration type infrared focal plane imaging system, an optical MTF value is the most comprehensive criterion in all optical performance indexes, a plurality of models for predicting system performance exist at present, and the models show that the MTF, NETD and MRTD are mutually influenced and restricted, and any change of values of the MTF, NETD and MRTD can influence the identification distance of the system. The normal assembly and adjustment process of the thermal imager is to perform NETD and MRTD tests after the complete machine is assembled, if indexes of the complete machine exceed standards, the thermal imager needs to be disassembled again for re-assembly, and the workload is very large. However, the optical MTF value is an important index for measuring the performance of the optical machine of the product, the optical MTF is tested in the product assembling process, the assembling and adjusting efficiency of the product can be effectively ensured, the optical MTF of the thermal imager is tested in the state of the whole machine, and the optical MTF is the normal state of the product and truly reflects the actual condition of the product.
The existing measuring instrument for measuring the optical MTF can only measure a lens with a straight optical axis generally, cannot directly measure a product with an optical axis rotating 180 degrees, and has no related measuring accessories. The whole thermal imager is required by the overall dimension of the shell, the position of an actual imaging surface from a detection head is very narrow, and direct measurement cannot be realized, so that the image surface can be led out by avoiding the dimension limitation of the shell of the thermal imager to obtain effective measurement.
Therefore, how to avoid the limitation of the size of the shell to lead the imaging surface of the thermal imager out to the measurable position of the MTF measuring instrument is of great importance for the MTF measurement of the actual thermal imager.
There is a method of transferring an image plane from one position to another position using a fiber-out method, with both the image transfer in and out at both ends of the fiber, but this method has been found in practice to be unsuitable for optical MTF measurement.
Disclosure of Invention
The invention aims to provide an infrared switching system meeting pupil butt joint, which avoids the size limitation of a thermal imager shell and can lead out an image plane to be effectively measured.
The method for measuring the optical transfer function of the U-shaped folding thermal imager is characterized in that the method comprises the steps of leading out an imaging surface of the thermal imager to a corresponding position after the U-shaped folding thermal imager is matched with the U-shaped folding thermal imager through an infrared switching system, and measuring the optical transfer function of the thermal imager through an MTF measuring instrument;
the infrared switching system is provided with a first reflector, a field lens with positive focal power, a first lens, a second reflector, a second lens with positive focal power, a system diaphragm, a third lens with positive focal power, a fourth lens with positive focal power and an imaging surface in sequence from an object side to an image side along an optical axis.
The field lens in the infrared switching system is a positive meniscus lens with a concave surface facing to the object side, and the second lens is a biconvex lens; the first surface of the third lens is a positive meniscus lens with a concave surface facing the object side, the fourth lens is a double-convex lens, the second surface of the third lens is a diffraction surface of the aspheric substrate, and the first surface of the fourth lens is an aspheric surface.
The four lenses are made of germanium or silicon materials.
The other infrared switching system is characterized in that the system is matched with a U-shaped folding thermal imager, and the arrangement of each optical component in the system needs to meet the following conditions:
(1) the lens diaphragm is arranged between the second lens and the third lens, and the object-to-image ratio is set to be 1: 1;
(2) the focal length of the first lens and the focal length of the optical system satisfy the following expression: -3< f1/f < -2; wherein f1 is the focal length of the first lens, and f is the focal length of the whole optical system;
(3) the focal length of the second lens and the focal length of the optical system satisfy the following expression: -5< f2/f < -4; wherein f2 is the focal length of the second lens, and f is the focal length of the whole optical system;
(4) the focal length of the third lens and the focal length of the optical system satisfy the following expression: -50< f3/f < -35; wherein f3 is the focal length of the third lens, and f is the focal length of the whole optical system;
(5) the focal length of the fourth lens and the focal length of the optical system satisfy the following expression: -4< f4/f < -2.5; wherein f4 is the focal length of the fourth lens, and f is the focal length of the whole optical system;
(6) the pupil butt joint relation is met, and the object-image ratio is 1: 1;
(7) the aberration of the optical system is sufficiently small.
By adopting the method, the pupil butt joint relation between the thermal imager and the MTF measuring instrument is met, the optical fiber relay adapter has a proper numerical aperture, the field of view of the thermal imager is not cut after being matched with the thermal imager, the MTF value of the adapter system reaches the designed diffraction limit, the MTF value of the thermal imager is not influenced after being matched with the thermal imager, namely, the optical fiber relay adapter meets the requirement of pupil butt joint, has a proper numerical aperture and the MTF value reaches the diffraction limit, and an imaging surface can be led out to a proper position after being matched with the thermal infrared imager and then is measured by the MTF measuring instrument. The problem that the complete infrared thermal imager with the U-shaped folding structure cannot be measured can be solved through the infrared switching system.
Drawings
FIG. 1 is an optical layout of a refrigerated thermal imager employing a U-fold;
FIG. 2 is a schematic structural diagram of an embodiment of the present invention;
wherein, A is a first reflector, B is a field lens, C is a first lens, D is a second reflector, E is a second lens, F is a diaphragm, G is a third lens, H is a fourth lens, I is an imaging surface, 1 is a first surface sequence, 2 is a second surface sequence, 3 is a third surface sequence, 4 is a fourth surface sequence, 5 is a fifth surface sequence, 6 is a sixth surface sequence, 7 is a seventh surface sequence, 8 is an eighth surface sequence, 9 is a ninth surface sequence, and 10 is a tenth surface sequence.
FIG. 3 is a graph of color difference for an embodiment of the present invention;
wherein the graph is represented by five wavelengths of 3.7 μm, 3.9 μm, 4.2 μm, 4.5 μm and 4.8 μm in mm; FIG. 4 is a graph of astigmatism and distortion curves for an embodiment of the invention;
wherein, the field curvature distortion diagram is represented by five wavelengths in fig. 3, the field curvature unit is mm, the distortion curve diagram indicates the distortion magnitude values under different field angles, and is represented by% in the distortion curve diagram;
FIG. 5 is a graph of MTF for an embodiment of the present invention;
wherein, the MTF graph represents the comprehensive imaging of the optical system, and the system requirement is up to 30 line pairs per millimeter.
Detailed Description
Example 1: the method for measuring the optical transfer function of the U-shaped folding thermal imager comprises the steps of leading the imaging surface of the thermal imager out to a corresponding position after the U-shaped folding thermal imager is matched with the U-shaped folding thermal imager through an infrared switching system, and measuring the optical transfer function of the thermal imager through an MTF measuring instrument.
The infrared switching system is provided with a first reflector A, a field lens B with positive focal power, a first lens C, a second reflector D, a second lens E with positive focal power, a system diaphragm F, a third lens G with positive focal power, a fourth lens H with positive focal power and an imaging surface I in sequence from an object side to an image side along an optical axis.
The image surface of the measured thermal imager is led out by the field lens and the second lens to form parallel light beams, and then the parallel light beams are converged to a final imaging surface by the third lens and the fourth lens, so that the transfer of the image surface is realized. The first reflector and the second reflector change the direction of the light path, so that the final imaging surface can be measured by the MTF tester.
The field lens in the infrared switching system is a positive meniscus lens with a concave surface facing to the object side, and the second lens is a double convex lens; the first surface of the third lens is a positive meniscus lens with a concave surface facing the object side, the fourth lens is a double-convex lens, the second surface of the third lens is a diffraction surface of the aspheric substrate, and the first surface of the fourth lens is an aspheric surface.
The second surface of the third lens and the first surface of the fourth lens are aspheric surfaces, so that aberration can be well corrected, the diffraction surface has an achromatic function, and chromatic aberration in an optical system can be effectively compensated by adopting the diffraction surface.
Except the second lens of the four lenses, the rest lenses are made of silicon materials and germanium materials. Silicon and germanium are common infrared materials, are mature in processing, and have great advantages in optical stability, environmental adaptability and processability compared with chalcogenide materials.
The other infrared switching system needs to be matched with the U-shaped folding thermal imager so as to meet the requirement of not influencing the transfer function of the thermal imager to be detected, and the matching needs to meet the following conditions for setting each optical component in the system:
(1) the lens diaphragm is arranged between the second lens and the third lens, and the object-to-image ratio is set to be 1: 1;
(2) the focal length of the first lens and the focal length of the optical system satisfy the following expression: -3< f1/f < -2; wherein f1 is the focal length of the first lens, and f is the focal length of the whole optical system;
(3) the focal length of the second lens and the focal length of the optical system satisfy the following expression: -5< f2/f < -4; wherein f2 is the focal length of the second lens, and f is the focal length of the whole optical system;
(4) the focal length of the third lens and the focal length of the optical system satisfy the following expression: -50< f3/f < -35; wherein f3 is the focal length of the third lens, and f is the focal length of the whole optical system;
(5) the focal length of the fourth lens and the focal length of the optical system satisfy the following expression: -4< f4/f < -2.5; where f4 is the focal length of the fourth lens, and f is the focal length of the entire optical system.
Besides the above requirements, the system also satisfies the dual purposes of pupil butt-joint relation, 1:1 object-to-image ratio and enough small aberration of the optical system, i.e. good image quality.
Different types of optical systems have different requirements on the aberration level, and therefore, the aberration of an optical system is determined according to the aberration level of the corresponding optical system.
The dual objectives are met by the optimization calculation of the common optical software, and the most common is ZEMAX and CODEC software.
The optical software used in this example is the optistudio software from Radiant Zemax corporation, usa, version number 15.5. This software is specific to the optical design and the optimization procedure uses its sequential imaging function.
During optimization, the system has an initial structure that is referred to in the optical calculation process set forth in the "applied optics" of the plan-plan main weave. The initial structure is obtained according to the pupil butt joint relation, the object-image ratio is 1:1, and the system length is set to be 254 mm; four lenses are provided, the focal lengths of the four lenses are calculated respectively on the assumption that the materials are germanium, silicon, germanium and germanium, then the radius value of each lens is calculated according to the focal length of each lens, and the lens thickness is calculated on the assumption that the lens thickness is 10 mm. The initial structure in this example is shown in the following table by the calculated parameters:
table one:
after the parameters are optimized and calculated by software, the parameters of each lens are shown as table two, and the numerical values listed in the aspheric parameter table and the diffraction surface are shown as table three and table four.
Table two:
when the surface type is an aspheric surface, the following expression is satisfied:
in the formula, Z is a distance rise Sag from the vertex of the aspherical surface when the height of the aspherical surface in the optical axis direction is Y, R represents a paraxial radius of curvature of the mirror surface, and k is a conic coefficient, conic, A, B, C is a high-order aspherical coefficient. Aspherical parameters were determined and are listed in table three below.
Table three:
aspherical surface | K | A | B | C |
8 | 0 | 5.952272E-7 | 4.016495E-10 | 3.369766E-12 |
9 | 0 | -6.795664E-7 | 2.281918E-10 | -2.794232E-13 |
The surface type is a diffraction surface, and the following expression is satisfied:
φ=∑NAiρ2i;
where ρ is r/ri,riIs the diffraction plane plan radius, AiIs the diffraction plane phase coefficient. The diffraction surface parameters were determined as in table four.
Table four:
diffraction surface | Radius of planning | Phase coefficient 1 | Phase coefficient 2 | Phase coefficient 3 |
8 | 16.1 | -78.61 | 7.06 | -13.09 |
The optimization operation is carried out by adopting software, the algorithm adopts a least square method, and the algorithm is continuously approximated to the minimum value and inaccurately evaluated, so that the parameters obtained in the optimization process are not the same.
In this embodiment, the focal length f of the optical system is-12.156 mm, the numerical aperture NA is 0.2, and the object image height is 12.3 mm. The curvature radius of the first surface of the field lens R1 is-37.19 mm, the focal length of the field lens f1 is 26.59mm, the focal length of the second lens f2 is 55.92mm, the focal length of the third lens f3 is 508.17mm, and the focal length of the fourth lens f4 is 36.69 mm.
Where the Numerical Aperture (NA) of the NA optical system is a dimensionless number that measures the angular range of light that the system is capable of collecting.
Fig. 3, 4 and 5 are optical characteristic curves of the present embodiment, and it can be seen from the drawings that the MTF of the image transfer system is close to the diffraction limit, and various aberrations are corrected to be sufficient for practical use.
The specific parameters in the table are only the example values of the present embodiment, and the parameters of each lens are not limited to the values shown in the numerical examples, and other values may be used to achieve similar effects.
While the principles and specific embodiments of this invention have been described above, those skilled in the art, having the benefit of the teachings of this invention, will appreciate numerous modifications and variations there from, falling within the scope of the invention. It will be appreciated by persons skilled in the art that the foregoing detailed description is provided for the purpose of illustrating the invention and is not to be construed as limiting the invention. The scope of the invention is defined by the claims and their equivalents.
Claims (4)
1. The method for measuring the optical transfer function of the U-shaped folding thermal imager is characterized in that the method comprises the steps of leading out an imaging surface of the thermal imager to a corresponding position after the U-shaped folding thermal imager is matched with the U-shaped folding thermal imager through an infrared switching system, and measuring the optical transfer function of the thermal imager through an MTF measuring instrument;
the infrared switching system is provided with a first reflector, a field lens with positive focal power, a first lens, a second reflector, a second lens with positive focal power, a system diaphragm, a third lens with positive focal power, a fourth lens with positive focal power and an imaging surface in sequence from an object side to an image side along an optical axis.
2. The method according to claim 1, wherein the field lens of the infrared relay system is a positive meniscus lens with a concave surface facing the object side, and the second lens is a biconvex lens; the first surface of the third lens is a positive meniscus lens with a concave surface facing the object side, the fourth lens is a double-convex lens, the second surface of the third lens is a diffraction surface of the aspheric substrate, and the first surface of the fourth lens is an aspheric surface.
3. The method of claim 1, wherein the four lenses of the IR relay system are germanium or silicon.
4. The method for measuring the optical transfer function of the U-shaped folding thermal imager as claimed in claim 1, characterized in that the infrared switching system is matched with the U-shaped folding thermal imager, and the arrangement of each optical component in the system needs to satisfy the following conditions:
(1) the lens diaphragm is arranged between the second lens and the third lens, and the object-to-image ratio is set to be 1: 1;
(2) the focal length of the first lens and the focal length of the optical system satisfy the following expression: -3< f1/f < -2; wherein f1 is the focal length of the first lens, and f is the focal length of the whole optical system;
(3) the focal length of the second lens and the focal length of the optical system satisfy the following expression: -5< f2/f < -4; wherein f2 is the focal length of the second lens, and f is the focal length of the whole optical system;
(4) the focal length of the third lens and the focal length of the optical system satisfy the following expression: -50< f3/f < -35; wherein f3 is the focal length of the third lens, and f is the focal length of the whole optical system;
(5) the focal length of the fourth lens and the focal length of the optical system satisfy the following expression: -4< f4/f < -2.5; wherein f4 is the focal length of the fourth lens, and f is the focal length of the whole optical system;
(6) the pupil butt joint relation is met, and the object-image ratio is 1: 1;
(7) the aberration of the optical system is sufficiently small.
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