CN108519671A - A kind of closed-loop corrected control method of spliced telescope system phase translation error - Google Patents
A kind of closed-loop corrected control method of spliced telescope system phase translation error Download PDFInfo
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- G—PHYSICS
- G02—OPTICS
- G02B—OPTICAL ELEMENTS, SYSTEMS OR APPARATUS
- G02B26/00—Optical devices or arrangements for the control of light using movable or deformable optical elements
- G02B26/06—Optical devices or arrangements for the control of light using movable or deformable optical elements for controlling the phase of light
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- G—PHYSICS
- G02—OPTICS
- G02B—OPTICAL ELEMENTS, SYSTEMS OR APPARATUS
- G02B23/00—Telescopes, e.g. binoculars; Periscopes; Instruments for viewing the inside of hollow bodies; Viewfinders; Optical aiming or sighting devices
- G02B23/02—Telescopes, e.g. binoculars; Periscopes; Instruments for viewing the inside of hollow bodies; Viewfinders; Optical aiming or sighting devices involving prisms or mirrors
Abstract
The present invention relates to a kind of closed-loop corrected control methods of spliced telescope system phase translation error comprising：After sparse aperture telescope realizes thick common phase, each two-dimension chromatic dispersion interference fringe between sub- mirror is acquired in real time, the target function value of computational representation phase shift error size and the variable for characterizing its positive negativity, then the step-length for selecting iterative to correct according to target function value and the positive negativity variable respectively and closed-loop corrected direction to each phase shift error between sub- mirror to carry out real-time closed-loop iteration correction, finally by phase shift error correction in setting error range.The present invention is not necessarily to carry out any physical change to existing equipment, realizes simply, and this method, without more complex data operations, has good stability and robustness without carrying out any physics calibration in advance to the closed-loop corrected of phase shift error.
Description
Technical field
The present invention relates to a kind of closed-loop corrected control methods of spliced telescope system phase translation error.
Background technology
Preferably observe celestial body using the telescope of high spatial resolution, universe be astronomer dream, and it is astronomical
The target that instrument builder pursues.The spatial resolution of telescope is directly proportional to its bore, that is, bore is bigger, point of telescope
Resolution is higher.It builds 8 meters or more single telescope mirrors at present to be limited by factors such as manufacturing process, manufacturing costs, if thinking
Splicing mirror technology can be used to build more bigbore telescope in the spatial resolution for improving telescope.
In addition to the application on astronomy, spliced telescope also has good application prospect in fields such as airborne and spaceborne RSs,
Its research in terms of earth observation also contributes to the standard to forecast such as terrestrial climate, space weather, solar activity times
True property helps to reduce the influence to the earth and the mankind such as geological disaster, extreme climate environment and solar activity variation, to state
People's expanding economy and people's living standard and horizontal raising have prodigious social value.
The key of spliced telescope acquisition close to resolution of diffraction image is to ensure to come from sub- mirror in entire visual field
Light beam on focal plane with position phase coherent superposition, and common phase error must stability contorting in 1/10th wave-length coverages, this
It is to realize the precondition for stablizing Fizeau interference imaging.Therefore, the translation error control technology in spliced telescope has become phase
Close one of the hot spot of area research.At present, it has been suggested that translation error detection with Closed loop Control mainly including following several：
1, phase difference method
Phase difference method is used for II common phase error-detectings of Keck with Kendrick et al., the result shows that the party
Method can accurately be measured under weaker turbulent-flow conditions sub-aperture common phase error (referring to：Phase diversity experiment
to measure piston misalignment on the segmented primary mirror of the Keck
Telescope.Proc.SPIE, 1998,3356：1190-1201).Other related experiment results further demonstrate that phase difference method
Measurement accuracy be better than 15nm, but measurement range be wavelength (can be about expanded several times using dual-wavelength measurement range) (referring to：
Theory and experiment of phasing detection by use of two wavelengths.Applied
Optics, 2017,56 (1):1-7)；And phase difference correction method belongs to iterative algorithm, each iteration needs to carry out in two-dimentional Fu
Leaf operation, operand is big, calculates complicated.
2, the closed loop common phase control method based on rectangular pyramid sensor
European Southern Observatory studies application of the rectangular pyramid sensor in common phase detection.In related experiment
In, rectangular pyramid Wavefront sensor can also measure the phase shift between each sub- mirror other than it can measure inclination and higher order aberratons
Error.The experimental results showed that this method high certainty of measurement, it is closed-loop corrected after translation error reached 5.7nm, but this method is only
Can measure in a wave-length coverage optical path difference (referring to：Pyramid sensor for segmented mirror
Alignment, Optics Letters, 2005,30 (19):2572-2574).When using dual wavelength λ1And λ2Carry out closed loop common phase
The maximal translation error of timing, recoverable is no more than λ1λ2/[4(λ1-λ2)], therefore this method is typically only capable in several microns
Translation error is corrected in range.
3, dispersion the Schlieren method
University of California Institute of Technology jet power laboratory Fang Shi et al. propose dispersion the Schlieren method, are spelled for Keck
Connect between looking in the distance mirror mirror total phase-detection (referring to：Experimental verification of dispersed fringe
Sensing as a segment phasing technique using the Keck telescope, Applied
Optics Vol.43, Issue 23, pp.4474-4481 (2004)).Simulation calculation and the experimental results showed that this method is only used in
Thick common phase detection-phase, when absolute translational error is less than half wavelength, this method failure need to use other detection methods.
It is proposed in the Chinese patent application application No. is 200810000577.7 a kind of for absolute distance measurement
Two-dimension chromatic dispersion fringe analysis method, this method measurement range is big, high certainty of measurement.But needed in this method demarcate absolute distance be
The corresponding peak position of each wavelength when zero, this is difficult to realize in actual use, and reason is：First, between two sub- mirrors of control
Absolute distance be zero be a very difficult thing, it is necessary to by other detection means；Secondly, calibration light path is surveyed with practical
It is typically two different light paths to measure light path, then the factors such as temperature change, extraneous vibration, atmospheric turbulance presence, all can
Cause to demarcate the corresponding peak position of each wavelength peak position corresponding with each wavelength in real system when absolute distance is zero
There is relatively large deviation, to eventually lead to entire chromatic dispersion fringe analysis method failure.
A kind of control of spliced telescope common phase position is proposed in the Chinese patent application application No. is 201610288401.0
Device processed and control method, this method needs to measure in advance or emulation obtains peak value than the nonlinear dependence between translation error
System, i.e., demarcate interference fringe peak value than the non-linear relation between translation error, but external environment variation can cause
Uncertain random aberration is generated in real system, causes the peak value of interference fringe in real system than between translation error
Relationship not matches with calibration value, and to influence measurement result, it is bad to eventually lead to calibration result.
In view of the foregoing, the bearing calibration to the phase shift error of spliced telescope is needed to be improved at present.
Invention content
In order to solve the above-mentioned problems of the prior art, the present invention is intended to provide a kind of spliced telescope system phase is flat
The closed-loop corrected control method of shift error, to overcome the shortcomings of existing phase shift error detection and Corrective control technology, in milli
The direct closed-loop corrected of the phase shift error in spliced telescope system is realized in meter level phase shift error range, and will most
Whole correction error control does not increase the complexity in engineering in 1/10th wave-length coverages, and without carrying out any prior calibration
Degree and cost.
A kind of closed-loop corrected control method of spliced telescope system phase translation error of the present invention, it is described
Spliced telescope system includes several sub- mirrors, the method includes after making the sub- mirror be in thick common phase state, execute with
Lower step：
Step S1 sets the sub- mirror centered on the sub- mirror at range of telescope center, n non-central sub- mirrors of acquisition and center
Several two-dimension chromatic dispersion interference fringes between sub- mirror；
Step S2 is calculated i-th according to the two-dimension chromatic dispersion interference fringe between i-th of non-central sub- mirror and middle center mirror
Target function value J between non-central sub- mirror and middle center mirrori, i=1 ... n；If Ji＜ α σ/λ0, then step terminate, otherwise execute
Step S3, wherein σ is the closed-loop corrected residual error of phase shift error of setting, λ0For the centre wavelength of bandwidth light, α is characterization mesh
Offer of tender numerical value J and a central wavelength lambda0Between the phase shift error delta between non-central sub- mirror and middle center mirror in range
The proportionality coefficient of linear approximate relationship；
Step S3 calculates the positive negativity of phase shift error obtained between i-th of non-central sub- mirror of characterization and middle center mirror
Variable Si；
Step S4, if the target function value J between i-th of non-central sub- mirror and middle center mirrori＞ α, then make i-th it is non-in
Center mirror generates translational movement Pi=-SPSi, wherein SPFor the first calibration step, i-th of non-central sub- mirror is otherwise made to generate translation
Measure Pi=-SLSi, wherein SLFor the second calibration step；
Step S5 so far completes current closed loop correction process, when entering next closed loop correction process, returns and executes
The step S1.
In the closed-loop corrected control method of above-mentioned spliced telescope system phase translation error, the step S2 packets
It includes：
Step S21 is established according to the two-dimension chromatic dispersion interference fringe between i-th of non-central sub- mirror and middle center mirror with color
It is x-axis to dissipate direction, which is the coordinate system of y-axis, which includes N items along y-axis side
To one-dimensional sub-striped；
Step S22 obtains the second peak strength I of the one-dimensional sub-striped of j-th strip2(j) and third peak strength I3(j),
In, j=1 ... N；
Step S23 calculates the peak value ratio R (j) of the one-dimensional sub-striped of j-th strip according to formula (1)：
R (j)=I2(j)/I3(j) -1, j=1 ... (1) N,
Step S24 calculates the target function value J between i-th of non-central sub- mirror and middle center mirror according to formula (2)i：
Wherein, β indicates the exponent number of centre-to-centre spacing, for the positive integer more than 1.
In the closed-loop corrected control method of above-mentioned spliced telescope system phase translation error, the step S3 packets
It includes：
Step S31 is established according to the two-dimension chromatic dispersion interference fringe between i-th of non-central sub- mirror and middle center mirror with color
It is x-axis to dissipate direction, which is the coordinate system of y-axis, which includes N items along y-axis side
To one-dimensional sub-striped；
Step S32 obtains the first peak strength I of the one-dimensional sub-striped of j-th strip1(j) and the first peak coordinate y1(j), second
Peak strength I2(j) and the second peak position y2(j), j=1 ... N；
Step S33 calculates the peak value ratio Q that the one-dimensional sub-striped of j-th strip contains the positive negative information of translation error according to formula (3)
(j)：
Q (j)=[I2(j)/I1(j)]·sign[y1(j)-y2(j)], (3) j=1 ... N,
Wherein, sign [] is sign function；
It is flat to calculate the phase obtained between i-th of non-central sub- mirror of characterization and middle center mirror according to formula (4) by step S34
The variable S of the positive negativity of shift errori：
Wherein, sign [] is sign function, and T is positive integer.
In the closed-loop corrected control method of above-mentioned spliced telescope system phase translation error, the first correction step
Long SPValue range be [σ, λ0]。
In the closed-loop corrected control method of above-mentioned spliced telescope system phase translation error, the second correction step
Long SLValue range be [1, σ].
As a result of above-mentioned technical solution, the present invention by after sparse aperture telescope realizes thick common phase,
Acquire each two-dimension chromatic dispersion interference fringe between sub- mirror in real time, the target function value of computational representation phase shift error size and
The variable of its positive negativity is characterized, the step for then selecting iterative to correct according to target function value and the positive negativity variable respectively
Long and closed-loop corrected direction to each phase shift error between sub- mirror to carry out real-time closed-loop iteration correction, finally by phase
Translation error correction is in setting error range.Compared with prior art, the present invention improves the reality of phase shift error correction
Shi Xing detects closed-loop corrected whole process without carrying out any calibration in advance from translation error, is put down to improve phase
Shift error closed-loop corrected precision and stability.
Description of the drawings
Fig. 1 is the structural schematic diagram of spliced telescope system in the present invention；
Fig. 2 is the contrast schematic diagram of the distribution of two-dimension chromatic dispersion interference fringe light intensity and one-dimensional sub-striped light distribution；
Fig. 3 be in the present invention target function value with the schematic diagram of phase shift error change
Fig. 4 is the change schematic diagram that phase shift error is controlled with iteration correction in the present invention.
Specific implementation mode
Below in conjunction with the accompanying drawings, presently preferred embodiments of the present invention is provided, and is described in detail.
The present invention, i.e., a kind of closed-loop corrected control method of spliced telescope system phase translation error, for showing in Fig. 1
The phase shift error of the spliced telescope system gone out is closed-loop corrected.
As shown in Figure 1, spliced telescope system includes：Spliced telescope 10, collimating mirror 3,4, second points of the first beam splitter
Beam device 5, imaging system 6, wave front detector 7, translation error detector 8 and wavefront controller 9, wherein
Spliced telescope 10 receives peripheral incident ray (such as starlight or broadband light), specifically includes：If secondary mirror 1 and
The dry sub- mirror 2 for being respectively provided with driver 20；In the present embodiment, spliced telescope 10 is card match Green's formula reflecting telescope；
The quantity of sub- mirror 2 is two, for receiving and reflecting incident ray；Multiple drivers 20 mounted on 2 back side of sub- mirror can be real
The movement of existing six degree of freedom, and the stroke with millimeter magnitude and nano level displacement accuracy；Secondary mirror 1 is for receiving quilt mirror
The incident rays of 2 reflections, and by the incident ray before secondary reflection is focused at sub- mirror 2 again；
Collimating mirror 3 is used to receive by the incident ray of the secondary reflection again of secondary mirror 1, and generates the outgoing of parallel (or substantially parallel)
Light；
First beam splitter 4 receives the emergent ray from collimating mirror 3, and transmits the first divided beams to wave front detector 7, to
Second beam splitter 5 transmits the second divided beams；
Second beam splitter 5 receives the second divided beams, and transmits third divided beams to translation error detector 8, is to imaging
6 the 4th divided beams of transmission of system, so that it is imaged；
Wave front detector 7 detect the first divided beams, and obtain the system aberration data in each 2 transmission path of sub- mirror (including
Inclination and higher order aberratons)；In the present embodiment, wave front detector 7 can be Shack-Hartmann wavefront sensor, pyramid wavefront
Sensor or interferometer；
Translation error detector 8 detects third divided beams, and acquires each dispersion interference fringe between sub- mirror 2；
Wavefront controller 9 is connect with the driver of wave front detector 7, translation error detector 8 and sub- mirror 2 respectively,
It receives first and according to the unbalance of system error information of sub- mirror 2, the first driving voltage is exported to the driver 20 of sub- mirror 2, to drive
Mover mirror 2 generates corresponding translation, tilts and rotate, to be corrected to the unbalance of system error of sub- mirror 2；Then, it receives
Dispersion interference fringe between the collected sub- mirror of translation error detector 82, the phase shift error calculated between obtaining sub- mirror 2 are big
Small and direction, and the second driving voltage is exported to the driver of sub- mirror 2 20, to drive sub- mirror 2 to generate translation, to its phase
Translation error compensates correction, and (the contents of the section is a kind of spliced telescope system phase for the present invention being discussed further below
The closed-loop corrected control method of translation error).
Specifically, the method for the present invention includes：In utilization wave front detector 7 and wavefront controller 9 in addition to phase
Unbalance of system error except translation error is corrected so that sub- mirror 2 be in thick common phase state after (it should be understood that：
Common phase error includes mainly translation, inclination and defocus aberration, realizes that thick common phase corrects inclination and defocus aberration, the thick common phase
Realization process is easier, be not necessarily to specific sensor, thick common phase generally can be realized by system far field image), execute with
Lower step：
Step S1 sets sub- mirror (also referred to as " center sub-aperture "), profit centered on the sub- mirror 2 at range of telescope center
It is (every that several two-dimension chromatic dispersion interference fringes between other non-central sub- mirrors and middle center mirror are acquired with translation error detector 8
A two-dimension chromatic dispersion interference fringe is formed between sub- mirror 2)；
Step S2 is interfered using wavefront controller 9 according to the two-dimension chromatic dispersion between i-th of non-central sub- mirror and middle center mirror
Striped calculates the target function value J between this i-th non-central sub- mirror and middle center mirrori, i=1 ... n, n are non-central sub- mirror
Number；If Ji＜ α σ/λ0, then step terminate (to illustrate the phase shift between i-th of non-central sub- mirror and middle center mirror at this time
For error within the scope of the closed-loop corrected residual error of phase shift error of setting, there is no need to carry out the school of phase shift error to it
Just), otherwise (if that is, Ji≥ασ/λ0) execute the step S3 (phases between i-th of non-central sub- mirror of explanation and middle center mirror at this time
Translation error has been more than the closed-loop corrected residual error range of phase shift error of setting, it is therefore desirable to be carried out to its phase shift error
Correction), wherein σ is the closed-loop corrected residual error of phase shift error of setting, λ0To use band when acquisition two-dimension chromatic dispersion interference fringe
Centre wavelength (usual σ≤λ of wide light0/ 10), α is characterization target function value J and a central wavelength lambda0It is non-central in range
The proportionality coefficient of linear approximate relationship between phase shift error delta between sub- mirror and middle center mirror, when | δ | ＜ λ0When, target
Meet linear approximate relationship, i.e. J ≈ α δ/λ between functional value J and phase shift error delta0；
It should be noted that aforementioned proportion factor alpha mainly with system detector relating to parameters, can be fitted to obtain (example in advance
As taken in the present embodiment 0.25)；
Step S3 calculates the positive negativity of phase shift error obtained between i-th of non-central sub- mirror of characterization and middle center mirror
Variable Si(that is, direction of characterization phase shift error)；Specifically, when between i-th of non-central sub- mirror and middle center mirror
Phase shift error deltaiWhen ＞ 0, Si=1, work as δiWhen ＜ 0, Si=-1；
Step S4, if the target function value J between i-th of non-central sub- mirror and middle center mirrori＞ α then pass through wavefront control
Device 9 processed applies corresponding driving voltage (that is, the second driving electricity described above to the driver 20 of i-th of non-central sub- mirror
Pressure) so that i-th of non-central sub- mirror generates translational movement Pi=-SPSi(unit nm), wherein SPFor the first calibration step,
Value range is [σ, λ0], σ is the closed-loop corrected residual error of phase shift error of setting, SPGenerally take λ0/ 3 (such as in the present embodiment
In, the measurement wavelength of the bandwidth light used is 550nm-650nm, central wavelength lambda0For 600nm, therefore, the first calibration step SP
Take central wavelength lambda0One third, that is, take 200), otherwise (if that is, Ji≤ α), it is non-central by wavefront controller 9 to i-th
The driver 20 of sub- mirror applies corresponding driving voltage, so that i-th of non-central sub- mirror generates translational movement Pi=-SLSi(unit is
Nm), wherein SLFor the second calibration step, value range is [1, σ], and σ is the closed-loop corrected residual error of phase shift error, SLGenerally
Take σ/2 (such as σ=λ in the present embodiment0/ 30, SL=σ/2)；
It should be noted that JiCommon phase error when=α is about a wavelength, judges whether common phase error is more than one with this
A wavelength, if more than a wavelength, then maximum calibration step can take λ at this time0；In addition, the first calibration step SPIt is total
The calibration step used when phase error is more than a wavelength, and the second calibration step SLWhen being then that common phase error is less than a wavelength
The calibration step of use, here, being while to take into account correction accuracy to ensure to correct the speed of iteration using two kinds of step-lengths；
Step S5 so far completes current closed-loop detection and correction course, when the next closed-loop detection of entrance and corrects
Cheng Shi returns to step S1.
Above-mentioned steps S2 specifically includes following steps：
Step S21 is established according to the two-dimension chromatic dispersion interference fringe between i-th of non-central sub- mirror and middle center mirror with color
It is x-axis to dissipate direction, which is the coordinate system of y-axis, which includes N items along y-axis side
To one-dimensional sub-striped；
Step S22 obtains the second peak strength I of the one-dimensional sub-striped of j-th strip2(j) and third peak strength I3(j) (as schemed
Shown in 2), wherein j=1 ... N；
Step S23 calculates the peak value ratio R (j) of the one-dimensional sub-striped of j-th strip according to formula (1)：
R (j)=I2(j)/I3(j) -1, j=1 ... (1) N,
Wherein, [I2(j)/I3(j) it is -1] >=0 permanent establishment, such target function value JiMinimum value be exactly 0, and this is most
Small value is suitable for any system independent of systematic parameter；
Step S24 calculates the target function value J between i-th of non-central sub- mirror and middle center mirror according to formula (2)i：
Wherein, β indicates the exponent number of centre-to-centre spacing, and (such as 2 are taken in the present embodiment, i.e. formula for the positive integer more than 1
(2) it indicates to calculate 2 rank centre-to-centre spacing).
Above-mentioned steps S3 is specifically included：
Step S31 is established according to the two-dimension chromatic dispersion interference fringe between i-th of non-central sub- mirror and middle center mirror with color
It is x-axis to dissipate direction, which is the coordinate system of y-axis, which includes N items along y-axis side
To one-dimensional sub-striped；
Step S32 obtains the first peak strength I of the one-dimensional sub-striped of j-th strip1(j) and the first peak coordinate y1(j), second
Peak strength I2(j) and the second peak position y2(j), j=1 ... N；
Step S33 calculates the peak value ratio Q that the one-dimensional sub-striped of j-th strip contains the positive negative information of translation error according to formula (3)
(j)：
Q (j)=[I2(j)/I1(j)]·sign[y1(j)-y2(j)], (3) j=1 ... N,
Wherein, sign [] is sign function；
It is flat to calculate the phase obtained between i-th of non-central sub- mirror of characterization and middle center mirror according to formula (4) by step S34
The variable S of the positive negativity of shift errori：
Wherein, sign [] is sign function, and T is positive integer, and value range is that [5, N/10] (such as take in the present embodiment
10)。
In the present embodiment, 5 μm of initial translation common phase error between two sub- mirrors, in the measurement wavelength used for 550nm-
650nm (central wavelength lambdas0For 600nm) bandwidth light under the conditions of carry out common phase error it is closed-loop corrected.Fig. 3 be object function J with
Relational graph between phase shift error delta utilizes least square method when phase shift error delta is in a centre wavelength range
The linear approximate relationship that method is fitted to obtain between the two is：J≈0.25δ/λ0.Fig. 4 is phase shift error with iteration correction
The situation of change of number, initial phase shift error are 5000nm, and the final closed-loop corrected residual error set is λ0/ 30 (that is,
20nm), phase shift error becomes 15nm after 28 iteratives correct, and has reached the correction accuracy of setting.
In conclusion compared with the prior art, the present invention has the following advantages：
1, The present invention gives phase shift error sign symbol is directly judged from two-dimension chromatic dispersion interference fringe data
Method efficiently solves 2 π fuzzy problems and symbol decision in phase shift error detection；
2, compared with existing two-dimension chromatic dispersion fringe analysis method and based on the phase shift error approach of far field similarity,
The present invention is not necessarily to carry out any physics calibration in advance, has better stability and Shandong to the closed-loop corrected of phase shift error
Stick；
3, the complex data operation of the invention without various dimensions, improves the closed-loop corrected real-time of phase shift error；
4, the present invention can realize in existing telescope common phase device, change without carrying out any physics to existing equipment
It is dynamic, it realizes simple.
Above-described, only presently preferred embodiments of the present invention is not limited to the scope of the present invention, of the invention is upper
Stating embodiment can also make a variety of changes.It is simple made by every claims applied according to the present invention and description
Single, equivalent changes and modifications, fall within the claims of patent of the present invention.The not detailed description of the present invention is normal
Advise technology contents.
Claims (5)
1. a kind of closed-loop corrected control method of spliced telescope system phase translation error, the spliced telescope system include
Several sub- mirrors, which is characterized in that the method includes after making the sub- mirror be in thick common phase state, executing following steps：
Step S1 sets the sub- mirror centered on the sub- mirror at range of telescope center, n non-central sub- mirrors of acquisition and middle center mirror
Between several two-dimension chromatic dispersion interference fringes；
Step S2, according to the two-dimension chromatic dispersion interference fringe between i-th of non-central sub- mirror and middle center mirror, calculate i-th it is non-in
Target function value J between center mirror and middle center mirrori, i=1 ... n；If Ji＜ α σ/λ0, then step terminate, it is no to then follow the steps
S3, wherein σ is the closed-loop corrected residual error of phase shift error of setting, λ0For the centre wavelength of bandwidth light, α is characterization target letter
Numerical value J and a central wavelength lambda0It is approximate between the phase shift error delta between non-central sub- mirror and middle center mirror in range
The proportionality coefficient of linear relationship；
Step S3 calculates the change for obtaining the positive negativity of phase shift error between i-th of non-central sub- mirror of characterization and middle center mirror
Measure Si；
Step S4, if the target function value J between i-th of non-central sub- mirror and middle center mirrori＞ α then make i-th of non-central son
Mirror generates translational movement Pi=-SPSi, wherein SPFor the first calibration step, i-th of non-central sub- mirror is otherwise made to generate translational movement Pi
=-SLSi, wherein SLFor the second calibration step；
Step S5 so far completes current closed loop correction process, when entering next closed loop correction process, returns described in executing
Step S1.
2. the closed-loop corrected control method of spliced telescope system phase translation error according to claim 1, feature
It is, the step S2 includes：
Step S21 is established according to the two-dimension chromatic dispersion interference fringe between i-th of non-central sub- mirror and middle center mirror with dispersion side
To for x-axis, which is the coordinate system of y-axis, the two-dimension chromatic dispersion interference fringe include N items along the y-axis direction
One-dimensional sub-striped；
Step S22 obtains the second peak strength I of the one-dimensional sub-striped of j-th strip2(j) and third peak strength I3(j), wherein j=
1…N；
Step S23 calculates the peak value ratio R (j) of the one-dimensional sub-striped of j-th strip according to formula (1)：
R (j)=I2(j)/I3(j) -1, j=1 ... (1) N,
Step S24 calculates the target function value J between i-th of non-central sub- mirror and middle center mirror according to formula (2)i：
Wherein, β indicates the exponent number of centre-to-centre spacing, for the positive integer more than 1.
3. the closed-loop corrected control method of spliced telescope system phase translation error according to claim 1, feature
It is, the step S3 includes：
Step S31 is established according to the two-dimension chromatic dispersion interference fringe between i-th of non-central sub- mirror and middle center mirror with dispersion side
To for x-axis, which is the coordinate system of y-axis, the two-dimension chromatic dispersion interference fringe include N items along the y-axis direction
One-dimensional sub-striped；
Step S32 obtains the first peak strength I of the one-dimensional sub-striped of j-th strip1(j) and the first peak coordinate y1(j), the second peak value
Intensity I2(j) and the second peak position y2(j), j=1 ... N；
Step S33 calculates the peak value ratio Q (j) that the one-dimensional sub-striped of j-th strip contains the positive negative information of translation error according to formula (3)：
Q (j)=[I2(j)/I1(j)]·sign[y1(j)-y2(j)], (3) j=1 ... N,
Wherein, sign [] is sign function；
Step S34 calculates the phase shift obtained between i-th of non-central sub- mirror of characterization and middle center mirror according to formula (4) and misses
The variable S of poor positive negativityi：
Wherein, sign [] is sign function, and T is positive integer.
4. the closed-loop corrected control method of spliced telescope system phase translation error according to claim 1, feature
It is, the first calibration step SPValue range be [σ, λ0]。
5. the closed-loop corrected control method of spliced telescope system phase translation error according to claim 1, feature
It is, the second calibration step SLValue range be [1, σ].
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| CN201810356033.8A CN108519671B (en) | 2018-04-19 | 2018-04-19 | Closed-loop correction control method for phase translation error of splicing telescope system |
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| CN201810356033.8A CN108519671B (en) | 2018-04-19 | 2018-04-19 | Closed-loop correction control method for phase translation error of splicing telescope system |
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