CN113447240B - Lobster eye optical device square optical fiber quality semi-analytic evaluation method and system - Google Patents
Lobster eye optical device square optical fiber quality semi-analytic evaluation method and system Download PDFInfo
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Abstract
The invention provides a semi-analytical evaluation method and a semi-analytical evaluation system for the quality of a lobster eye optical device square optical fiber, wherein the semi-analytical evaluation method comprises the following steps: step 1: real-time measurement of fiber diameter data x of lobster eye square optical fiber at different position points of MPO device to be detected by using laser diameter measuring instrument i (ii) a Step 2: drawing wire diameter data x based on square optical fiber i Building a channel-oriented semi-analytic mathematical model theta i Thereby converting the wire diameter data into channel pointing data; and step 3: fitting based on a Gaussian function to respectively obtain statistical distribution rules of the wire diameter and the channel direction; and 4, step 4: visually displaying the optical fiber quality data of the lobster eye to be detected, and feeding back and optimizing the wire drawing process parameters according to the semi-analytic numerical model; and 5: and generating an optical fiber quality analysis report according to the lobster eye optical fiber quality analysis data and the visual display result. The invention can quickly realize the evaluation of the quality of the square optical fiber to be lobster eye, accurately obtain the statistical information and the result of the fiber diameter size and the channel direction of the optical fiber to be tested, and is beneficial to being fed back to the preparation process and engineering to improve the focusing imaging quality of the MPO optical device.
Description
Technical Field
The invention relates to the technical field of optical glass, in particular to a lobster eye micropore optical device, and specifically relates to a semi-analytical analysis method for the quality of a square optical fiber of a lobster eye optical device.
Background
In recent years, X-ray astronomical observations are becoming one of the mainstream directions of astronomical development. The traditional X-ray observation adopts the principle of non-focusing imaging (collimation or coding aperture), the signal-to-noise ratio of monitoring data of a relatively dark and weak X-ray source is not high, and a new technology of grazing incidence X-ray focusing is expected to solve the problems. The grazing incidence focusing optical systems commonly used at present mainly have a Wolter type and a lobster eye type. Although the Wolter type optical system has higher spatial resolution and collection efficiency, the Wolter type optical system has the defects of small field of view, heavy mass, high difficulty in assembly and adjustment and the like, and the lobster eye type optical focusing system has the same focusing and imaging capability in all directions due to the special orthogonal structure; theoretically, the field of view can reach 4 pi spatial angles, which is beyond the reach of other grazing incidence optical systems. Meanwhile, the lobster eye type system has the characteristics of small volume, light weight and the like, and the unit effective area-weight ratio of the lobster eye type system to the Wolter-I type telescope made of metal is 1-2 orders of magnitude higher.
In an ideal case, the lobster eye device imaging quality is formed by a cross line with a width of almost 0 plus a focus point. Thus, the reflective surface of each microchannel is perpendicular to the plane of the device. However, because the MPO optical device is manufactured by fiber drawing and forming, the diameter of the fiber changes continuously, the direction of the channel deviates from the ideal situation and is difficult to be absolutely perpendicular to the plane, the incident light deviates, the cross line is dispersed, the imaging quality is poor, and the realization of the scientific target is affected, so the quality of the square hole becomes a key factor.
At present, the square optical fiber quality detection is also based on the real-time wire diameter detection of the traditional wire drawing machine laser diameter measuring instrument, and the relevant analysis and research on the test data of the channel direction is never carried out. The technical difficulties severely limit the research on lobster eye optical fiber drawing and forming technology, and the focusing performance of the optical device cannot be further improved. How to establish a data semi-analytical analysis method and a data semi-analytical analysis system for the quality of the square optical fiber, optimize the quality of the square optical fiber and improve the directional distribution of channels is a difficult point which is important and to be overcome in the development process of the lobster eye drawing and forming technology.
Disclosure of Invention
The invention aims to provide a semi-analytical analysis method for the quality of a square optical fiber of a lobster eye optical device, which obtains the silk diameter and channel pointing distribution rule of an MPO optical device by constructing a channel pointing mathematical model, visually displays optical fiber quality data, is beneficial to optimizing channel pointing and is beneficial to reversely applying to a preparation process and engineering to improve the focusing imaging quality of the MPO optical device.
According to the first aspect of the invention, the invention provides a semi-analytic analysis method for the quality of a lobster eye optical device square optical fiber, which comprises the following steps:
step 1: real-time measurement of filament diameter data x of lobster eye square optical fiber different position points of MPO device to be detected by using laser diameter measuring instrument i (ii) a The lobster eye square optical fiber is formed by compounding 1000-2000 square monofilaments and is drawn for 2 times through the hot melting process of a wire drawing furnace; the side length of the optical fiber is 0.7 mm-1.5 mm, and the length is 500 mm-1000 mm;
step 2: drawing wire diameter data x based on square optical fiber i Building a channel pointing mathematical model theta i Thereby converting the wire diameter data into channel pointing data;
and step 3: fitting based on a Gaussian function to respectively obtain statistical distribution rules of the wire diameter and the channel direction;
and 4, step 4: visually displaying the optical fiber quality data of the lobster eye to be detected;
and 5: and generating an optical fiber quality analysis report according to the lobster eye optical fiber quality analysis data and the visual display result.
Wherein, in step 2, the channel points to the mathematical model θ i And characterizing by the following mode function, so as to solve the angle deviation from the ideal situation at different positions and obtain the angle deviation distribution at different positions:
where L represents the length between adjacent location points.
In step 3, the expected mu of the wire diameter size and the channel direction information is obtained through Gaussian fitting 1 ，μ 2 Sum mean square error σ 1 ，σ 2 And monitoring the fiber size and the square hole channel orientation through the expected and mean square difference pairs:
g(x)＝a 1 exp((x i -μ 1 )^2/2σ 1 ^2)
t(x)＝a 2 exp((θ i -μ 2 )^2/2σ 2 ^2)
wherein g (x) and t (x) are square Gaussian fitting functions, a 1 、a 2 Are fitting coefficients. The data are modeled by performing semi-analytic Gaussian fitting, so that semi-analytic mathematical Gaussian models of different square filaments are obtained, and subsequent analysis and feedback are facilitated.
And step 5, comparing and analyzing the wire diameter and the pointing data information according to a preset threshold value, and determining an error point and a corresponding position in the square optical fiber to be detected.
According to the object of the second aspect of the invention, there is also provided an analysis system for quality of a lobster eye optical device square optical fiber, comprising:
used for acquiring and receiving the filament diameter data x of the lobster eye square optical fiber at different position points of the lobster eye square optical fiber of the MPO device to be detected measured in real time by using the laser diameter measuring instrument i The data acquisition module of (2); the lobster eye square optical fiber is formed by compounding 1000-2000 square monofilaments and is drawn for 2 times through the hot melting process of a drawing furnace; the side length of the optical fiber is 0.7 mm-1.5 mm, and the length is 500 mm-1000 mm;
for drawing wire diameter data x based on square optical fiber i Building a channel pointing mathematical model theta i The wire diameter-channel direction conversion module converts the wire diameter data into channel direction data;
the Gaussian fitting module is used for fitting based on a Gaussian function to respectively obtain the statistical distribution rules of the wire diameter and the channel direction;
the visual display module is used for visually displaying the optical fiber quality data of the lobster eye to be detected; and
and the report generation module is used for generating an optical fiber quality analysis report according to the lobster eye optical fiber quality analysis data and the visual display result.
Wherein the wire diameter-channel pointing conversion module is configured to perform channel pointing conversion in the following manner:
the report generation module is used for comparing and analyzing the wire diameter and the pointing data information according to a preset threshold value, and determining error points and corresponding positions in the square optical fiber to be detected.
By the technical scheme, the quality of the square optical fiber is analyzed from multiple angles such as the fiber diameter, the channel direction and the like aiming at the square optical fiber of the lobster eye optical device, the process monitoring of the lobster eye optical fiber size and the channel direction information is realized, and the visual display and the defect positioning and analysis are realized, so that the lobster eye optical device with high imaging quality is guided to be prepared in a reverse feeding way to the preparation process and process.
It should be understood that all combinations of the foregoing concepts and additional concepts described in greater detail below can be considered as part of the inventive subject matter of this disclosure unless such concepts are mutually inconsistent. In addition, all combinations of claimed subject matter are considered a part of the presently disclosed subject matter.
The foregoing and other aspects, embodiments and features of the present teachings can be more fully understood from the following description taken in conjunction with the accompanying drawings. Additional aspects of the present invention, such as features and/or advantages of exemplary embodiments, will be apparent from the description which follows, or may be learned by practice of the specific embodiments according to the teachings of the present invention.
Drawings
The drawings are not intended to be drawn to scale. In the drawings, each identical or nearly identical component that is illustrated in various figures may be represented by a like numeral. For purposes of clarity, not every component may be labeled in every drawing. Embodiments of various aspects of the present invention will now be described, by way of example, with reference to the accompanying drawings, in which:
FIG. 1 is a schematic diagram of a semi-analytical analysis method and system for quality data of a lobster eye optical device square optical fiber;
FIG. 2 is a graph showing data of the diameter of a square optical fiber drawing wire.
FIG. 3 is a schematic diagram of a square fibre channel pointing data.
FIG. 4 is a schematic diagram of the statistical distribution of the diameters of square optical fibers.
FIG. 5 is a schematic diagram of a square fiber channel directional statistical distribution rule.
Fig. 6 is a comparative illustration of improved front and back focus imaging quality.
Detailed Description
In order to better understand the technical content of the present invention, specific embodiments are described below with reference to the accompanying drawings.
In this disclosure, aspects of the present invention are described with reference to the accompanying drawings, in which a number of illustrative embodiments are shown. Embodiments of the present disclosure are not necessarily intended to include all aspects of the invention. It should be appreciated that the various concepts and embodiments described above, as well as those described in greater detail below, may be implemented in any of numerous ways, as the disclosed concepts and embodiments are not limited to any one implementation. In addition, some aspects of the present disclosure may be used alone, or in any suitable combination with other aspects of the present disclosure.
The invention aims to obtain the fiber diameter data of the MPO square optical fiber to be detected by using a laser diameter measuring instrument for real-time measurement; secondly, constructing a channel pointing mathematical model based on drawing wire diameter data of the square optical fiber, and converting the wire diameter data into channel pointing data; fitting based on a Gaussian function to respectively obtain statistical distribution rules of the wire diameter and the channel direction; and finally, visually displaying the statistical rule, and generating an analysis test report of the quality of the square optical fiber according to the analysis result. The lobster eye optical device can evaluate the size and the pointing distribution rule of the square optical fiber, visually display optical fiber data and manage the process, greatly improve data analysis and management of optical fiber quality, and is beneficial to improving the consistency and the uniformity of the size and the structure, thereby improving the focusing imaging quality of the lobster eye optical device.
With reference to fig. 1-6, a semi-analytical analysis method for lobster eye optic square fiber quality according to an exemplary embodiment of the present invention includes the following steps:
step 1: real-time measurement of filament diameter data x of lobster eye square optical fiber different position points of MPO device to be detected by using laser diameter measuring instrument i (ii) a The lobster eye square optical fiber is formed by compounding 1000-2000 square monofilaments and is drawn for 2 times through the hot melting process of a wire drawing furnace; the side length of the optical fiber is 0.7 mm-1.5 mm, and the length is 500 mm-1000 mm;
step 2: drawing wire diameter data x based on square optical fiber i Building a channel pointing mathematical model theta i Thereby converting the wire diameter data into channel pointing data;
and step 3: fitting based on a Gaussian function to respectively obtain statistical distribution rules of the wire diameter and the channel direction;
and 4, step 4: visually displaying the optical fiber quality data of the lobster eye to be detected;
and 5: and generating an optical fiber quality analysis report according to the lobster eye optical fiber quality analysis data and the visual display result.
In the step 1, the used laser diameter measuring instrument is a double-diameter non-contact dynamic measuring instrument, and the measuring range is 0.05 mm-10 mm; the repetition precision is 0.04um; the positioning precision is 0.5um; the laser wavelength is 400 nm-650 nm; the scanning speed was 3200scan/s.
Since the change of the size of the square optical fiber (square wire) can cause the direction of the square hole channel to change, which can cause the incident X-ray to deviate from the ideal position and cause the focused light to disperse, the channel direction error caused by the change of the size precision of the square hole is analyzed in the invention.
Wherein, in step 2, the channel points to the mathematical model θ i The method comprises the following steps of characterizing by the following mode functions, solving the angle deviation of different positions from the ideal condition, and obtaining the angle deviation of different positionsDistribution:
where L represents the length between adjacent location points.
Thus, the mean square error characterizes how fast the fiber size and channel orientation change, by being expected to characterize the overall fluctuation of the fiber size and channel orientation.
In step 3, in order to evaluate the quality of the MPO square optical fiber as a whole, the desired μ and the mean square error σ of the fiber diameter size and the channel pointing information are obtained through a gaussian fitting function. Specifically, the expected mu of the wire diameter size and the channel direction information is obtained through Gaussian fitting 1 ，μ 2 Sum mean square error σ 1 ，σ 2 And monitoring the fiber size and the square-hole channel orientation by the above expected and mean square deviation pairs:
g(x)＝a 1 exp((x i -μ 1 )^2/2σ 1 ^2)
t(x)＝a 2 exp((θ i -μ 2 )^2/2σ 2 ^2)
wherein g (x) and t (x) are square Gaussian fitting functions, a 1 、a 2 Are fitting coefficients.
And step 5, comparing and analyzing the wire diameter and the pointing data information according to a preset threshold value, and determining an error point and a corresponding position in the square optical fiber to be detected.
Therefore, when the optical fiber quality analysis is carried out, the wire diameter and the pointing data information in the corresponding optical fiber test data are analyzed according to the preset threshold parameters, the error points and the corresponding position information in the optical fiber test data are determined, the over-tolerance points and the corresponding positions are positioned, and the optical fiber quality data of the corresponding optical fibers are obtained. Further, the optical fiber quality grade of the corresponding optical fiber can be determined according to the optical fiber quality data and a preset standard.
According to the second aspect of the invention, the invention also provides a system for analyzing the quality of the lobster eye optical device square optical fiber, which comprises:
used for acquiring and receiving the filament diameter data x of the lobster eye square optical fiber at different position points of the lobster eye square optical fiber of the MPO device to be detected by using the laser diameter measuring instrument to measure in real time i The data acquisition module of (1); the lobster eye square optical fiber is formed by compounding 1000-2000 square monofilaments and is drawn for 2 times through the hot melting process of a wire drawing furnace; the side length of the optical fiber is 0.7 mm-1.5 mm, and the length is 500 mm-1000 mm;
for drawing wire diameter data x based on square optical fiber i Building a channel pointing mathematical model theta i The wire diameter-channel direction conversion module is used for converting the wire diameter data into channel direction data;
the Gaussian fitting module is used for fitting based on a Gaussian function to respectively obtain the statistical distribution rules of the wire diameter and the channel direction;
the visual display module is used for visually displaying the optical fiber quality data of the lobster eye to be detected; and
and the report generation module is used for generating an optical fiber quality analysis report according to the lobster eye optical fiber quality analysis data and the visual display result.
Wherein the wire diameter-channel pointing conversion module is configured to perform channel pointing conversion in the following manner:
mathematical model theta of channel orientation i And (3) characterizing by the following mode function, so as to solve the angle deviation from the ideal situation at different positions and obtain the angle deviation distribution at different positions:
wherein L represents the length between adjacent position points, and di represents the wire diameter test result of different positions.
Wherein the Gaussian fitting module is configured to obtain the expected mu of the wire diameter size and the channel direction information through Gaussian fitting 1 ，μ 2 Sum mean square error σ 1 ，σ 2 Where μ is desired 1 、μ 2 Is used for describing the generalTrack orientation and overall filament diameter offset, mean square error sigma 1 、σ 2 Is used for describing the channel orientation and the dispersion degree in the filament diameter, and the fiber size and the square hole channel orientation are monitored through the expectation and the mean square difference:
g(x)＝a 1 exp((x i -μ 1 )^2/2σ 1 ^2)
t(x)＝a 2 exp((θ i -μ 2 )^2/2σ 2 ^2)
wherein g (x) and t (x) are square Gaussian fitting functions, a 1 、a 2 Are fitting coefficients. The data are modeled by performing semi-analytic Gaussian fitting, so that semi-analytic mathematical Gaussian models of different square filaments are obtained, and subsequent analysis and feedback are facilitated.
The report generation module is used for comparing and analyzing the wire diameter and the pointing data information according to a preset threshold value, and determining error points and corresponding positions in the square optical fiber to be detected.
An exemplary implementation of the above analysis process is described below in connection with specific examples.
The method comprises the following steps: sleeving a 30mm multiplied by 1000mm square core material rod and a 38mm multiplied by 1000mm square leather material pipe together, drawing the core material rod and the leather material pipe into 1.5mm multiplied by 1000mm square monofilaments at the high temperature of 750 ℃ of a drawing furnace, and arranging the square monofilaments into 30mm multiplied by 1000mm square multifilament rods;
step two: feeding the square multifilament bar into a drawing furnace, performing secondary drawing to form the lobster eye square optical fiber, wherein a laser diameter measuring instrument adopted by a fiber diameter measuring instrument is used for double-diameter non-contact dynamic measurement, and the measuring range is 0.05 mm-10 mm; the repetition precision is 0.04um; the positioning precision is 0.5um; the laser wavelength is 400 nm-650 nm; the scanning speed is 3200scan/s, and the collected lobster eye optical device optical fiber diameter data are drawn, as shown in figure 2; in fig. 2, the abscissa is the test time, and the ordinate is the diameter of the wire diameter measured at different positions, and the distribution rule diagram of the whole wire diameter can be obtained by counting the diameter.
Step three: constructing a channel pointing database based on the wire diameter size data of the square wire through a channel pointing theta function, wherein the channel pointing data are shown in figure 3; in fig. 3, the abscissa is the test time, and the ordinate is the channel direction size of the test at different positions, and the distribution rule diagram of the whole channel direction can be obtained by counting the channel direction sizes.
Solving the angle deviation of different positions from the ideal situation to obtain the angle deviation distribution of different positions, and performing Gaussian fitting on the angle distribution situation to obtain the root mean square and the variance of the angle deviation distribution, wherein the root mean square and the variance are used for evaluating the channel pointing arrangement situation;
step four: fitting the filament diameter and the channel direction of the square optical fiber through Gaussian fitting to respectively obtain distribution rule graphs of the filament diameter and the channel direction, as shown in FIGS. 4 and 5; the arrangement statistics of the fiber diameter according to the size can be obtained by the arrangement statistics of the fiber diameter in fig. 4 and 5, and the arrangement distribution rule diagram of the channel direction and the fiber diameter can be obtained.
Step five: the optical fiber quality analysis needs to analyze the filament diameter and pointing data information in the corresponding optical fiber test data according to preset analysis parameters, determine error points and corresponding position information in the optical fiber test data, and analyze the over-tolerance points and the corresponding positions to obtain the optical fiber quality data of the corresponding optical fibers; determining the optical fiber quality level of the corresponding optical fiber according to the optical fiber quality data;
in the sixth step, the visual display needs to perform visual display on the data in the fiber diameter and pointing information of the square optical fiber to be detected, an optical fiber quality analysis report is generated according to the optical fiber quality data of different positions in the optical fiber to be detected, the quality of the square optical fiber can be further optimized and classified according to the data semi-analysis method and system for the quality of the square optical fiber of the lobster eye optical device, and the quality results before and after the improvement are shown in fig. 6. Wherein, FIG. 6 shows two pre-and post-comparison test results obtained by feeding back the wire drawing parameters according to the semi-analytic mathematical model, and correcting the wire diameter and the channel pointing direction,
the invention provides a semi-analytic analysis method and a semi-analytic analysis system for lobster eye optical device square optical fiber quality data, which can quickly realize accurate evaluation on the lobster eye square optical fiber quality, accurately acquire the wire diameter size of the optical fiber to be tested and the statistical information and result of channel orientation, and have wide application prospect in the field of optical fiber drawing and forming.
Although the present invention has been described with reference to the preferred embodiments, it is not intended to be limited thereto. Those skilled in the art can make various changes and modifications without departing from the spirit and scope of the invention. Therefore, the protection scope of the present invention should be defined by the appended claims.
Claims (2)
1. A semi-analytical analysis method for the quality of a square optical fiber of a lobster eye optical device is characterized by comprising the following steps:
step 1: real-time measurement of filament diameter data x of lobster eye square optical fiber different position points of MPO device to be detected by using laser diameter measuring instrument i (ii) a The lobster eye square optical fiber is formed by compounding 1000-2000 square monofilaments and is drawn for 2 times through the hot melting process of a drawing furnace; the side length of the optical fiber is 0.7 mm-1.5 mm, and the length is 500 mm-1000 mm;
step 2: drawing wire diameter data x based on square optical fiber i Building a channel-oriented semi-analytic mathematical model theta i Thereby converting the wire diameter data into channel pointing data;
and step 3: fitting based on a Gaussian function to respectively obtain statistical distribution rules of the wire diameter and the channel direction;
and 4, step 4: visually displaying the optical fiber quality data of the lobster eye to be detected;
and 5: generating an optical fiber quality analysis report according to the lobster eye optical fiber quality analysis data and the visual display result;
in step 2, the channels are directed to a mathematical model θ i And characterizing by the following mode function, so as to solve the semi-quantitative angle deviation distribution deviating from the ideal situation at different positions, and obtain the angle deviation distribution at different positions:
wherein L represents the length between adjacent location points;
in step 3, obtaining the expected mu of the wire diameter size and the channel direction information through Gaussian fitting 1 ，μ 2 Sum mean square error σ 1 ，σ 2 ，
Wherein mu is desired 1 ，μ 2 Is used for describing the channel pointing direction and the overall deviation of the wire diameter, mean square error sigma 1 ，σ 2 The method is used for describing the channel direction and the dispersion degree in the wire diameter, better evaluating and analyzing the channel direction and the wire diameter by constructing a semi-analytic mathematical model, and monitoring the fiber size and the square hole channel direction through the expectation and the mean square difference:
g(x)＝a 1 exp((x i -μ 1 )^2/2σ 1 ^2)
t(x)＝a 2 exp((θ i -μ 2 )^2/2σ 2 ^2)
wherein g (x) and t (x) are square Gaussian fitting functions, a 1 、a 2 Is a fitting coefficient;
in step 5, the method further comprises the step of comparing and analyzing the information of the wire diameter and the pointing data according to a preset threshold value, and determining an error point and a corresponding position in the square optical fiber to be detected.
2. An analysis system for the quality of a lobster eye optical device square optical fiber, comprising:
used for acquiring and receiving the filament diameter data x of the lobster eye square optical fiber at different position points of the lobster eye square optical fiber of the MPO device to be detected measured in real time by using the laser diameter measuring instrument i The data acquisition module of (1); the lobster eye square optical fiber is formed by compounding 1000-2000 square monofilaments and is drawn for 2 times through the hot melting process of a wire drawing furnace; the side length of the optical fiber is 0.7 mm-1.5 mm, and the length is 500 mm-1000 mm;
for drawing based on square optical fibreWire diameter making data x i Constructing a channel-oriented semi-analytic mathematical model theta i The wire diameter-channel direction conversion module converts the wire diameter data into channel direction data;
the Gaussian fitting module is used for fitting based on a Gaussian function to respectively obtain the statistical distribution rules of the wire diameter and the channel direction;
the visual display module is used for visually displaying the optical fiber quality data of the lobster eye to be detected;
and the report generation module is used for generating an optical fiber quality analysis report according to the lobster eye optical fiber quality analysis data and the visual display result.
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