CN110260787B - Laser spot size all-angle evaluation and characterization method - Google Patents
Laser spot size all-angle evaluation and characterization method Download PDFInfo
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- CN110260787B CN110260787B CN201910558033.0A CN201910558033A CN110260787B CN 110260787 B CN110260787 B CN 110260787B CN 201910558033 A CN201910558033 A CN 201910558033A CN 110260787 B CN110260787 B CN 110260787B
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- G—PHYSICS
- G01—MEASURING; TESTING
- G01B—MEASURING LENGTH, THICKNESS OR SIMILAR LINEAR DIMENSIONS; MEASURING ANGLES; MEASURING AREAS; MEASURING IRREGULARITIES OF SURFACES OR CONTOURS
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- G01J—MEASUREMENT OF INTENSITY, VELOCITY, SPECTRAL CONTENT, POLARISATION, PHASE OR PULSE CHARACTERISTICS OF INFRARED, VISIBLE OR ULTRAVIOLET LIGHT; COLORIMETRY; RADIATION PYROMETRY
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Abstract
The invention discloses a full-angle evaluation and characterization method for laser spot size, which solves the laser spot size in different angle theta directions passing through an original point by constructing a rectangular coordinate system taking the centroid position of a laser spot as the original point and according to the relation between the laser spot size and a light intensity second moment, thereby realizing the characterization of the laser spot size in any angle direction with the horizontal direction and scientifically and comprehensively reflecting the spatial characteristics of the laser spot.
Description
Technical Field
The invention relates to a laser spot size all-angle evaluation and characterization method, and belongs to the technical field of photoelectric tests.
Background
In the design, manufacture and application of lasers, the evaluation of the performance of the lasers is particularly important, especially the beam space performance parameters such as beam divergence angle, light field distribution, beam waist spot size, beam width product and beam limit multiplying power diffraction factor M2And the acquisition of the spatial performance parameters can be deduced on the basis of the acquisition of the laser spot size, so that the method is particularly critical to scientific and comprehensive evaluation of the laser spot size.
At present, the characterization of the laser spot size is based on obtaining the spot size in the X and Y directions under a rectangular coordinate system, and because the spot output by the laser is not always symmetrical under the actual condition, the quality of the laser beam cannot be scientifically and comprehensively reflected by the X and Y directions of the simple beam parameters.
Disclosure of Invention
Aiming at the defects of the existing laser spot size parameter evaluation, the invention aims to provide a laser spot size all-angle evaluation and characterization method, which scientifically, comprehensively and objectively reflects the spatial characteristics of a laser spot by giving the size of the laser spot in any angle direction with the horizontal direction.
As shown in fig. 1 and fig. 2, the invention provides a method for evaluating and characterizing a laser spot size in a full angle, which comprises the following steps:
the method comprises the following steps: acquiring an image with width W (pixel number) and length H (pixel number) and containing laser spots; the image has no background noise and no saturated pixel, and a rectangular coordinate system xOy is established by taking the upper left corner of the image as an origin O, the horizontal right direction as the positive direction of an x axis and the vertical downward direction as the positive direction of a y axis;
step two: extracting coordinate value (x) of each pixel in the imagea，yb) And corresponding light intensity value I (x)a，yb) The centroid coordinate value (x) of the laser spotc，yc) The relation with the first moment of the light intensity is shown as the formula (1) and the formula (2);
step three: transforming the image into coordinate system to establish the laser spot centroid position (x)c，yc) A rectangular coordinate system x 'O' y 'with the coordinate origin O', the horizontal right direction being the positive direction of the x 'axis and the vertical upward direction being the positive direction of the y' axis; for any original coordinate value in said rectangular coordinate system xOy is (x)a，yb) The coordinate value of the pixel in the rectangular coordinate system x 'O' y 'is (x'a，y'b) Then, there are:
equation (3) describes the coordinate transformation relationship between the rectangular coordinate system xOy and the rectangular coordinate system x ' O ' y ';
step four: under the rectangular coordinate system x 'O' y ', a linear equation passing through the origin of coordinates O' and having an angle of 90 degrees + theta is set as shown in the formula (4);
kx′+y′＝0 (4)
step five: any image element (x) in the imagea'，yb') the distance to the straight line described by equation (4) is:
step six: according to the relation between the laser spot size and the second moment of light intensity, the laser spot size omega passing through the original point O' and with the angle in the theta directionθAs shown in formula (6);
step seven: repeating the fourth step to the sixth step to obtain different angles thetaiLaser spot size omega corresponding to directionθi。
Has the advantages that: compared with the prior art, the invention provides the full-angle evaluation and characterization method for the laser spot size, so that the characterization of the laser spot size in any angle direction with the horizontal direction is realized, and the spatial characteristics of the laser spot are scientifically and comprehensively reflected.
Drawings
Fig. 1 is a schematic flow chart of a laser spot size full-angle evaluation and characterization method.
Fig. 2 is a light spot profile diagram under different rectangular coordinate systems.
Detailed Description
Example 1, a method for full-angle evaluation and characterization of laser spot size.
As shown in fig. 1 and fig. 2, the invention provides a method for evaluating and characterizing a laser spot size in a full angle, which comprises the following steps:
the method comprises the following steps: acquiring an image with width W (pixel number) and length H (pixel number) and containing laser spots; the image has no background noise and no saturated pixel, and a rectangular coordinate system xOy is established by taking the upper left corner of the image as an origin O, the horizontal right direction as the positive direction of an x axis and the vertical downward direction as the positive direction of a y axis;
step two: extracting coordinate value (x) of each pixel in the imagea，yb) And corresponding light intensity value I (x)a，yb) The centroid coordinate value (x) of the laser spotc，yc) The first moment of light intensity is related to the following equations (1) and (2)Shown in the specification;
step three: transforming the image into coordinate system to establish the laser spot centroid position (x)c，yc) A rectangular coordinate system x 'O' y 'with the coordinate origin O', the horizontal right direction being the positive direction of the x 'axis and the vertical upward direction being the positive direction of the y' axis; for any original coordinate value in said rectangular coordinate system xOy is (x)a，yb) The coordinate value of the pixel in the rectangular coordinate system x 'O' y 'is (x'a，y'b) Then, there are:
equation (3) describes the coordinate transformation relationship between the rectangular coordinate system xOy and the rectangular coordinate system x ' O ' y ';
step four: under the rectangular coordinate system x 'O' y ', a linear equation passing through the origin of coordinates O' and having an angle of 90 degrees + theta is set as shown in the formula (4);
kx′+y′＝0 (4)
step five: any image element (x) in the imagea'，yb') the distance to the straight line described by equation (4) is:
step six: according to the relation between the laser spot size and the second moment of light intensity, the laser spot size omega passing through the original point O' and having the angle in the theta directionθAs shown in formula (6);
step seven: repeating the fourth step to the sixth step to obtain different angles thetaiLaser spot size omega corresponding to directionθi。
Finally, it should be noted that: the above examples are only intended to illustrate the technical solution of the present invention, but not to limit it; although the present invention has been described in detail with reference to the foregoing embodiments, it will be understood by those of ordinary skill in the art that: the technical solutions described in the foregoing embodiments may still be modified, or some technical features may be equivalently replaced; and such modifications or substitutions do not depart from the spirit and scope of the corresponding technical solutions of the embodiments of the present invention.
Claims (2)
1. A laser spot size full-angle evaluation and characterization method is characterized by comprising the following steps:
the method comprises the following steps: acquiring an image with the width W of the pixel number and the length H of the pixel number and containing laser spots; the image has no background noise and no saturated pixel, and a rectangular coordinate system xOy is established by taking the upper left corner of the image as an origin O, the horizontal right direction as the positive direction of an x axis and the vertical downward direction as the positive direction of a y axis;
step two: extracting coordinate value (x) of each pixel in the imagea，yb) And corresponding light intensity value I (x)a，yb) The centroid coordinate value (x) of the laser spotc，yc) The relation with the first moment of the light intensity is shown as the formula (1) and the formula (2);
step three: transforming the image into a coordinate systemEstablishing a rectangular coordinate system x 'O' y 'with the laser spot mass center position as a coordinate origin O', the horizontal right direction as the positive direction of an x 'axis and the vertical upward direction as the positive direction of a y' axis; for any original coordinate value in said rectangular coordinate system xOy is (x)a，yb) The coordinate value of the pixel in the rectangular coordinate system x 'O' y 'is (x'a，y'b) Then, there are:
equation (3) describes the coordinate transformation relationship between the rectangular coordinate system xOy and the rectangular coordinate system x ' O ' y ';
step four: under the rectangular coordinate system x 'O' y ', a linear equation passing through the origin of coordinates O' and having an angle of 90 degrees + theta is set as shown in the formula (4);
kx′+y′＝0 (4)
step five: any image element (x) in the imagea'，yb') the distance to the straight line described by equation (4) is:
step six: according to the relation between the laser spot size and the second moment of light intensity, the laser spot size omega passing through the original point O' and with the angle in the theta directionθAs shown in formula (6);
step seven: repeating the fourth step to the sixth step to obtain different angles thetaiLaser spot size omega corresponding to directionθi。
2. The method for full-angle evaluation and characterization of laser spot size according to claim 1, wherein: by finding out said straight lineThe origin O 'of the angular coordinate system x' O 'y' and the angle are the laser spot size omega in the theta directionθWill differ by thetaiLaser spot size omega with corresponding valueθiAre combined for each angle thetaiThe spot size in the direction was evaluated and characterized.
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