Adjustable annular spot modeling method and system
By discretizing the central and outer ring beams, using the BoxMuller algorithm to generate Gaussian distributed light spots, and constructing an adjustable annular spot model that conforms to the geometric characteristics of the Gaussian beam, the problems of inaccurate and high complexity of spot modeling in the existing technology are solved, and high-precision and flexible spot modeling is achieved, which is suitable for laser processing and optical measurement.
Patent Information
- Application Number
- CN202411459803.3
- Authority / Receiving Office
- CN · China
- Patent Type
- Patents(China)
- Current Assignee / Owner
- Filing Date
- 2024-10-18
- Publication Date
- 2025-09-09
- Estimated Expiration
- 2044-10-18
AI Technical Summary
Existing spot modeling methods cannot accurately simulate the geometric characteristics of Gaussian beams, resulting in keyhole stability problems during welding. Traditional methods also have high computational complexity and are difficult to meet the requirements of high precision and flexibility.
The BoxMuller algorithm is used to generate Gaussian distributed light spots. The center and outer ring beams are discretized by single-leaf hyperbola and cone equations. An adjustable annular spot model that conforms to the geometric characteristics of Gaussian beams is constructed, including a discretization module, a straight generatrix generation module, a beam combining surface coordinate calculation module, and an energy assignment module.
It improves the accuracy and flexibility of spot modeling, reduces computational complexity, meets the needs of high-precision and efficient laser processing and optical measurement, and is suitable for a variety of industrial and scientific research fields.
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Figure CN119115204B_ABST
Abstract
Description
Technical Field
[0001] The present invention belongs to but is not limited to the field of laser welding numerical simulation technology, and in particular relates to a method and system for modeling an adjustable annular spot. Background Art
[0002] Large thick-walled components are an important part of marine equipment. They have characteristics such as large wall thickness and long welds, which place stringent demands on welding production in terms of both quality and efficiency. In recent years, with the continuous maturity of technology and the gradual decline in costs, 10,000-watt industrial fiber lasers have begun to be applied to welding manufacturing, making single-pass large-melt thick-walled component welding possible. However, the energy density of 10,000-watt high-power laser welding is higher, and the keyhole is more slender, which brings new challenges to the stability control of the welding process. A large number of studies have shown that relying solely on the regulation of conventional welding process parameters cannot change the cross-sectional and longitudinal energy distribution of high-power lasers, and thus cannot guarantee the long-term stability of the keyhole during high-power welding. How to optimize the energy distribution of the laser to provide the best thermal support conditions on the keyhole wall is the key to improving the stability of the keyhole during the welding process. In recent years, a point-ring multi-focus beam shaping technology has been proposed, which is expected to be applied to high-power laser shaping welding.
[0003] During high-power laser welding, the laser interacts violently with the material, instantly generating high-temperature, high-velocity metal vapor that rapidly displaces the surrounding melt, forming a keyhole morphology. As the beam energy density increases, the keyhole becomes more elongated, making keyhole stability an increasingly prominent issue during welding. Accurately observing the dynamic behavior of the molten pool, keyhole, and vapor during high-power laser welding is crucial for controlling welding process stability. However, limited observation methods can hinder the ability to obtain information about the interior of the molten pool / keyhole. With the advancement of computational fluid dynamics and the improvement of computing power, numerical simulation has become a powerful supplement to studying laser welding processes. Numerical simulations can characterize and analyze welding process information and the evolution of the molten pool. The choice of heat source model is crucial for welding simulations, as it provides the energy input. The adjustable annular spot heat source consists of two components: a central, high-energy-density waist-shaped beam, serving as the primary heat source to achieve deep penetration. An outer ring beam, a low-energy-density ring laser, provides multi-focus support along the keyhole depth by adjusting the longitudinal distribution of the focal plane. However, current light source modeling methods typically use geometric optics. In geometric optics, the object points that make up an object are considered geometric points, and the light beams they emit are considered a collection of countless geometric rays. The direction of the rays represents the propagation direction of the light energy. This concept of light rays contradicts the wave nature of light. Because current simulation methods cannot accurately simulate the geometric properties of light beams, both from an energy perspective and from the perspective of light diffraction, their application to light source modeling and subsequent simulations results inaccurate simulation results that lack a clear match with actual results.
[0004] In view of the above analysis, the technical problems that urgently need to be solved in the existing technology are: the central beam is a Gaussian beam and is hyperbolic. The current modeling method of the point ring model simulates the central beam as a conical beam, and its characteristics do not match the geometric characteristics of the Gaussian beam, making it difficult to accurately express the characteristics of the Gaussian beam. Summary of the Invention
[0005] In view of the problems existing in the prior art, the present invention provides an adjustable annular spot modeling method and system.
[0006] The present invention is implemented as follows: a method for modeling an adjustable annular light spot, comprising:
[0007] S1: Discretize the central beam and the outer ring beam. The central beam is waist-shaped and consists of a series of straight generatrixes of single-leaf hyperbolas. The outer ring beam is cone-shaped and consists of a series of straight generatrixes of cone surfaces.
[0008] S2: Generate the point of the central beam on the focal plane, and generate a point in a certain range (0, R g) satisfies the Gaussian distribution point x0, y0, and this point is a point on the straight generatrix, based on which the straight generatrix can be generated;
[0009] S3: Generate the points of the outer ring beam on the ring focal plane, and also generate a certain range (0, R r ) points that conform to the Gaussian distribution, expand the generated points to the outer ring area, and according to the transformed coordinates x r ,y r , z r , and then according to the radius of the beam combining surface of the outer ring beam and the central beam, the coordinate x corresponding to the ring focal plane on the beam combining surface can be calculated. h ,y h , z h ;
[0010] S4: Based on each point generated by the boxmuller method, the distance from this point to the center is used as the radius to generate points with a certain circular interval;
[0011] S5: Record the position and direction of the points generated in step 4, and assign a certain amount of energy to each discrete beam of light.
[0012] Furthermore, in S1, the straight generatrix equation of the single-leaf hyperboloid is written in point form as follows:
[0013]
[0014] In formula (1) x0 is the horizontal coordinate of the generated point, y0 is the vertical coordinate of the generated point, z0 defaults to 0, a and b are the intersection points of this single-leaf hyperboloid with the x and y axes on the plane z = 0, where a = b, is the waist radius of the central beam, and c is the Rayleigh length of the central beam, where R g is the radius of the central beam.
[0015] Furthermore, the equation of the cone in S3 is:
[0016]
[0017] In formula (2), x r ,y r , z r is the coordinate of the outer ring beam in the focal plane, x h ,y h , z h is the coordinate of the central beam and the outer ring beam on the beam combining surface. r is the width of the ring.
[0018] Furthermore, in S5, energy is assigned according to a certain Gaussian distribution, and the energy assigned formula is as follows:
[0019]
[0020] (3) In the formula, q tg is the energy distributed to each discrete beam at the center, Q g is the total energy of the central beam, k is the energy distribution coefficient, x0, y0 are the coordinates generated by the focal plane, R g is the radius of the central beam;
[0021] (4) In the formula, q tr is the energy distributed to each discrete beam at the center, Q r is the total energy of the central beam, k is the energy distribution coefficient, x0, y0 are the coordinates generated by the focal plane, R r is the radius of the central beam.
[0022] Another object of the present invention is to provide an adjustable annular spot modeling system for implementing the adjustable annular spot modeling method, comprising:
[0023] Central / Outer Ring Beam Discretization Module: used to discretize the central beam and the outer ring beam. The central beam is waist-shaped and consists of a series of straight generatrixes of single-leaf hyperbolas. The outer ring beam is cone-shaped and consists of a series of straight generatrixes of cone surfaces.
[0024] Straight bus generation module: used to generate the point of the central beam on the focal plane, and generate the points in a certain range (0, R g ) satisfies the Gaussian distribution point x0, y0, and this point is a point on the straight generatrix, based on which the straight generatrix can be generated;
[0025] The module for calculating the coordinates of the beam combining surface and the ring focal plane is used to generate the points of the outer ring beam on the ring focal plane. The boxmuller algorithm is also used to generate the points within a certain range (0, R r ) points that conform to the Gaussian distribution, expand the generated points to the outer ring area, and according to the transformed coordinates x r ,y r , z r , and then according to the radius of the beam combining surface of the outer ring beam and the central beam, the coordinate x corresponding to the ring focal plane on the beam combining surface can be calculated. h ,y h , z h ;
[0026] Circular interval point generation module: Based on each point generated by the boxmuller method, the distance from this point to the center is used as the radius to generate points with a certain circular interval;
[0027] Energy imparting module: The application records the position and direction of the points generated by the circular interval point generation module, and imparts a certain amount of energy to each discrete beam of light.
[0028] Another object of the present invention is to provide a computer device, which includes a memory and a processor. The memory stores a computer program. When the computer program is executed by the processor, the processor executes the steps of the adjustable annular spot modeling method.
[0029] Another object of the present invention is to provide a computer-readable storage medium storing a computer program, which, when executed by a processor, causes the processor to execute the steps of the adjustable annular spot modeling method.
[0030] Another object of the present invention is to provide an information data processing terminal, which includes the adjustable annular light spot modeling system.
[0031] In combination with the above technical solutions and the technical problems solved, the advantages and positive effects of the technical solutions to be protected by the present invention are as follows:
[0032] First, this invention proposes a modeling method for an adjustable annular spot. Based on the characteristics of a single-lobed hyperboloid of a Gaussian beam, the beams that form the center of the beam conform to the geometric properties of a Gaussian beam to a certain extent, while the positions of the beams in the outer ring also conform to a certain normal distribution. This method accurately simulates the geometric shape of the central beam.
[0033] Second, as auxiliary evidence for the inventiveness of the claims of the present invention, it is also reflected in the following important aspects:
[0034] (1) The expected benefits and commercial value of the technical solution of the present invention after transformation are as follows: the point-ring beam modeling method can more accurately simulate the propagation and reflection of light in the system, and is applied in relevant numerical simulations. It conforms to the geometric characteristics of the central beam and the outer ring beam, can meet the requirements of numerical simulation to a certain extent, and can improve computing efficiency and reduce costs.
[0035] (2) The technical solution of the present invention fills the technical gap in the industry at home and abroad: the original method of simulating a Gaussian beam is to divide it into many cones with smaller intervals, and the positions of different intervals are confirmed by average distribution. The method proposed by the present invention is to generate points that satisfy the normal distribution in a certain area based on the geometric characteristics of the Gaussian beam, and generate the straight generatrix of a single-leaf hyperboloid based on these points, which is closer to the Gaussian beam in geometry, thereby establishing a mathematical model of the corresponding beam.
[0036] (3) The technical solution of the present invention solves a technical problem that people have always wanted to solve but have never been able to solve successfully: there are various non-ideal features in the optical system, such as scattering, diffraction, etc. Traditional modeling methods may find it difficult to accurately capture and process these features, while the point ring beam modeling method can consider these features more comprehensively, thereby improving the accuracy of modeling.
[0037] (4) The technical solution of the present invention overcomes technical bias: compared with traditional methods, the point ring beam modeling method can improve the efficiency and accuracy of modeling and analysis, thereby better meeting the needs of practical applications and simulating the transmission characteristics of Gaussian beams through various optical systems.
[0038] Third. Technical problems solved by the present invention:
[0039] 1) Uneven spot shape and energy distribution:
[0040] Existing spot modeling methods make it difficult to accurately control the shape and energy distribution of the spot, resulting in poor results in applications and unable to meet the needs of fine processing and high-precision measurement.
[0041] The present invention discretizes the central light beam and the outer ring light beam and uses the BoxMuller algorithm to generate Gaussian distributed light spots, so that the spot shape and energy distribution are more uniform, meeting the requirements of fine processing and high-precision measurement.
[0042] 2) The beam model is not flexible:
[0043] Traditional beam modeling methods lack flexibility and are difficult to adapt to the needs of different application scenarios, especially when the spot shape and size need to be dynamically adjusted.
[0044] The present invention provides a method for modeling an adjustable annular light spot, which can flexibly change the shape and size of the light spot through parameter adjustment, adapt to the needs of different application scenarios, and improve the applicability of the system.
[0045] 3) High modeling complexity:
[0046] Existing spot modeling methods are highly complex and computationally intensive, making them difficult to apply in real time to practical systems.
[0047] The present invention reduces the modeling complexity by adopting discretization processing and simplified mathematical models (such as single-leaf hyperbola and cone equations), making the spot modeling more efficient and easy to implement in actual systems.
[0048] ###Significant technological advancements achieved:
[0049] 1) The spot shape and energy distribution uniformity are significantly improved:
[0050] Through the method of the present invention, the generated light spot is more uniform in shape and energy distribution, meeting the needs of high-precision applications such as fine operations in laser processing, optical measurement and other fields, and improving the accuracy and consistency of processing and measurement.
[0051] 2) Enhanced modeling flexibility:
[0052] The adjustable annular spot modeling method of this invention allows for flexible changes in the shape and size of the spot by adjusting parameters to suit different application requirements. This flexibility offers significant advantages in dynamic application scenarios, enabling the system to maintain optimal performance under varying conditions.
[0053] 3) Improved modeling efficiency:
[0054] By using discretization and a simplified mathematical model, the method reduces computational complexity and improves modeling efficiency. Through efficient algorithms, a spot model that meets the requirements can be generated in real time, making it suitable for applications requiring fast response, such as real-time detection and dynamic beam adjustment.
[0055] 4) Wide system applicability:
[0056] The method of the present invention is applicable to a variety of industrial and scientific research fields, such as laser processing, optical measurement, medical imaging, etc. By adjusting the shape and energy distribution of the light spot, the specific needs of different fields can be met, expanding the application range of the system.
[0057] 5) High precision and stability:
[0058] Through rigorous mathematical modeling and optimization algorithms, the method of the present invention excels in the accuracy and stability of the light spot, ensuring the reliability and consistency of the system during long-term operation.
[0059] Through the above technical solutions, the present invention has achieved significant technical progress in the uniformity, flexibility, efficiency and applicability of spot modeling, and effectively solved many problems in the prior art. BRIEF DESCRIPTION OF THE DRAWINGS
[0060] Figure 1 The invention provides an adjustable annular spot modeling method;
[0061] Figure 2 This is a structural diagram of an adjustable annular spot modeling system provided by an embodiment of the present invention;
[0062] Figure 3 is a plan view of a light beam provided by an embodiment of the present invention
[0063] Figure 4 This is a three-dimensional cross-sectional rendering of a light beam provided by an embodiment of the present invention;
[0064] Figure 5 is a distribution diagram of light beam positions at each cross section provided by an embodiment of the present invention;
[0065] Figure 6 This is a beam display diagram of a beam provided by an embodiment of the present invention in tecplot. DETAILED DESCRIPTION
[0066] In order to make the purpose, technical solutions and advantages of the present invention more clearly understood, the present invention is further described in detail below in conjunction with the embodiments. It should be understood that the specific embodiments described herein are only used to explain the present invention and are not intended to limit the present invention.
[0067] The following are two examples of industrial applications of the adjustable annular spot modeling method based on the present invention:
[0068] ###Example 1: Laser Micromachining
[0069] Laser micromachining is widely used in electronic device manufacturing, precision instrument processing and other fields, requiring high-precision and high-uniformity laser spots to achieve fine cutting, drilling, etching and other operations.
[0070] 1) Light spot design:
[0071] According to the processing requirements, the method of the present invention is used to generate an annular light spot with Gaussian distribution energy, and the requirements of different processing tasks are met by adjusting the shape and size of the light spot.
[0072] 2) Light spot generation:
[0073] The central beam and the outer ring beam are discretized, and the BoxMuller algorithm is used to generate light spots on the point focal plane and the ring focal plane to achieve uniform distribution of the light spot.
[0074] 3) Energy distribution optimization:
[0075] According to the Gaussian distribution formula, the light spot energy is optimized and distributed to ensure uniform distribution of light spot energy and improve processing accuracy.
[0076] 4) Actual processing:
[0077] The generated light spot is applied to the laser micromachining equipment for actual processing operations, and the light spot parameters are adjusted to adapt to different materials and process requirements.
[0078] Effect:
[0079] Improve machining accuracy and consistency and reduce machining defects.
[0080] Achieve high-precision processing of complex shapes and tiny features to meet the needs of electronic device and precision instrument manufacturing.
[0081] ###Example 2: Optical Measurement System
[0082] In optical measurement systems, such as laser interferometers and laser rangefinders, high-precision and high-stability laser spots are required for precise measurement.
[0083] 1) Spot modeling:
[0084] According to the measurement requirements, the method of the present invention is used to generate an annular light spot with Gaussian distribution energy, and the measurement accuracy is optimized by adjusting the shape and size of the light spot.
[0085] 2) Light spot generation:
[0086] The BoxMuller algorithm is used to generate light spots on the point focal plane and the ring focal plane, and the light spots are discretized to achieve uniform light spot distribution.
[0087] 3) Energy assignment:
[0088] Based on the Gaussian distribution formula, the light spot energy is optimized and distributed to ensure uniform distribution of light spot energy and improve measurement accuracy and stability.
[0089] 4) Actual measurement:
[0090] The generated light spot is applied to the optical measurement system to perform actual measurement operations, and the light spot parameters are adjusted to adapt to different measurement environments and conditions.
[0091] Effect:
[0092] Improve measurement accuracy and stability and reduce measurement errors.
[0093] It achieves high-precision optical measurement and is suitable for measurement tasks with high-precision requirements, such as laser interferometry and laser displacement measurement.
[0094] Through the above two embodiments, it can be seen that the adjustable annular spot modeling method of the present invention significantly improves the accuracy and stability of the system in laser micromachining and optical measurement systems, solves the problems of uneven spot shape and energy distribution, inflexible modeling, etc. in the prior art, and provides a reliable and efficient solution for the industrial and scientific research fields.
[0095] like Figure 1 As shown, the adjustable annular spot modeling method provided by the embodiment of the present invention includes:
[0096] S1: Discretize the central beam and the outer ring beam. The central beam is waist-shaped and consists of a series of straight generatrixes of single-leaf hyperbolas. The outer ring beam is cone-shaped and consists of a series of straight generatrixes of cone surfaces.
[0097] S2: Generate the point of the central beam on the focal plane, and generate a point in a certain range (0, R g ) satisfies the Gaussian distribution point x0, y0, and this point is a point on the straight generatrix, based on which the straight generatrix can be generated;
[0098] S3: Generate the points of the outer ring beam on the ring focal plane, and also generate a certain range (0, R r ) points that conform to the Gaussian distribution, expand the generated points to the outer ring area, and according to the transformed coordinates x r ,y r , z r , and then according to the radius of the beam combining surface of the outer ring beam and the central beam, the coordinate x corresponding to the ring focal plane on the beam combining surface can be calculated. h ,y h , z h ;
[0099] S4: Based on each point generated by the boxmuller method, the distance from this point to the center is used as the radius to generate points with a certain circular interval;
[0100] S5: Record the position and direction of the points generated in S4 and assign a certain amount of energy to each discrete beam of light. In S1, the straight generatrix equation of the single-leaf hyperboloid is written in point-wise form as follows:
[0101]
[0102] In formula (1) x0 is the horizontal coordinate of the generated point, y0 is the vertical coordinate of the generated point, z0 defaults to 0, a and b are the intersection points of this single-leaf hyperboloid with the x and y axes on the plane z = 0, where a = b, is the waist radius of the central beam, and c is the Rayleigh length of the central beam, where R g is the radius of the central beam.
[0103] The equation of the cone in S3:
[0104]
[0105] In formula (2), x r ,y r , z r is the coordinate of the outer ring beam in the focal plane, x h ,y h , z h is the coordinate of the central beam and the outer ring beam on the beam combining surface. r is the width of the ring.
[0106] In S5, energy is assigned according to a certain Gaussian distribution. The energy assigned formula is as follows:
[0107]
[0108] (3) In the formula, q tg is the energy distributed to each discrete beam at the center, Q gis the total energy of the central beam, k is the energy distribution coefficient, x0, y0 are the coordinates generated by the focal plane, R g is the radius of the central beam;
[0109] (4) In the formula, q tr is the energy distributed to each discrete beam at the center, Q r is the total energy of the central beam, k is the energy distribution coefficient, x0, y0 are the coordinates generated by the focal plane, R r is the radius of the central beam.
[0110] like Figure 2 As shown, the adjustable annular spot modeling system provided by the embodiment of the present invention includes:
[0111] Central / Outer Ring Beam Discretization Module: used to discretize the central beam and the outer ring beam. The central beam is waist-shaped and consists of a series of straight generatrixes of single-leaf hyperbolas. The outer ring beam is cone-shaped and consists of a series of straight generatrixes of cone surfaces.
[0112] Straight bus generation module: used to generate the point of the central beam on the focal plane, and generate the points in a certain range (0, R g ) satisfies the Gaussian distribution point x0, y0, and this point is a point on the straight generatrix, based on which the straight generatrix can be generated;
[0113] The module for calculating the coordinates of the beam combining surface and the ring focal plane is used to generate the points of the outer ring beam on the ring focal plane. The boxmuller algorithm is also used to generate the points within a certain range (0, R r ) points that conform to the Gaussian distribution, expand the generated points to the outer ring area, and according to the transformed coordinates x r ,y r , z r , and then according to the radius of the beam combining surface of the outer ring beam and the central beam, the coordinate x corresponding to the ring focal plane on the beam combining surface can be calculated. h ,y h , z h ;
[0114] Circular interval point generation module: Based on each point generated by the boxmuller method, the distance from this point to the center is used as the radius to generate points with a certain circular interval;
[0115] Energy imparting module: The application records the position and direction of the points generated by the circular interval point generation module, and imparts a certain amount of energy to each discrete beam of light.
[0116] Preferably, an embodiment of the present invention provides an adjustable annular spot modeling method comprising:
[0117] Step 1: Define some variables: w_h_r is the radius of the central beam, w_h_r_ro is the outer radius of the annular beam, w_h_r_ri is the inner radius of the annular beam, w_h_b is the Rayleigh length, w_h_mm is the number of central beams, w_h_mmr is the number of beams in the annulus, w_h_zr is the ordinate of the annular focal plane, and w_h_zh is the ordinate of the beam combining plane. First, explain how to construct the central beam.
[0118] Step 2: Generate random numbers r1, r2 in the range (1, 1). If R=0 or R>0, regenerate r1, r2, and then use the following formula
[0119]
[0120] In the above formulas (1) and (2), x0, y0 are the coordinates of the central beam in the focal plane. The calculated x0, y0, can be used to determine and the size of w_h_r, if Repeat the above steps to calculate x0, y0 until
[0121] Step 3: Based on the x0, y0 generated in step 2, take this point as the starting point, the origin of the coordinate system as the center, the distance from this point to the origin as the radius, and a certain angle d n Rotate to generate a new point x j ,y j .
[0122]
[0123] In the above formulas (3) and (4), α g is the angle between the point (x0, y0) and the positive direction of the x-axis, as shown in the following formula (5), j is the number of points in a circle, d n is the interval angle.
[0124]
[0125] Step 4: Since the central beam is waist-shaped, which is consistent with the shape of a single-leaf hyperboloid, and a single-leaf hyperboloid has two straight generatrixes, the position and direction of one of the straight generatrixes constituting the central beam are determined. Therefore, a random number r3 in the range of (0, 1) is generated. If r3>0.5, the direction is calculated according to equations (6) and (7). If r3<0.5, the direction is calculated according to equations (8) and (9).
[0126]
[0127]
[0128] In the above formula, w_h_b is the Rayleigh length, x1 and y1 are the x and y directions of a straight busbar, x'1 and y'1 are the x and y directions of another straight busbar, and the z direction is -w_h_b. The position coordinates are x0, y0, z0.
[0129] Step 5: Assign energy to each line that makes up the central beam, as shown below
[0130]
[0131] In the above formula (10), Q g is the total energy of the central beam, k is a coefficient, x0 and y0 are the coordinates generated by the focal plane, and w_h_r is the radius of the central beam. The above is the method for constructing the central beam. Next, we will explain the method for constructing the outer ring beam.
[0132] Step 6: Generate the coordinates of the point, x0, y0, as in step 2, and then judge and the size of w_h_r_ro-w_h_r_ri, if Then regenerate x0, y0, when When this point is extended to the range of the ring, that is, between w_h_r_ri and w_h_r_ro, the coordinate of the point is x r0 ,y r0 .
[0133] Step 7: Same as step 3, based on x r0 ,y r0 Generate the point x of the circle range rj ,y rj .
[0134]
[0135] In the above formulas (11) and (12), α r For point (x r0 ,y r0 ) and the positive direction of the x-axis, as shown in the following formula (13), j is the number of points in a circle, d n is the interval angle.
[0136]
[0137] Step 8: Position information x of the ring beam r0 ,y r0 , z r0 It has been determined that z r0 is the vertical coordinate of the focal plane. The remaining step is to determine the direction of the straight line forming the ring beam, according to the x rj ,y rj , according to α r and xh The horizontal and vertical coordinates x on the beam combining surface can be calculated hj ,y hj , as shown below:
[0138] x hj =x h *cos(α r +j*d n ) (14)
[0139] y hj =x h *sin(α r +j*d n ) (15)
[0140] in w_h_zh is the vertical coordinate of the beam combining surface, w_h_b is the Rayleigh length. Then the direction of the cone generatrix is as follows:
[0141] x 1r =x hj -x rj (16)
[0142] y 1r =y hj -y rj (17)
[0143] z 1r =w_h_zh-w_h_zr (18)
[0144] Step 9: Assign energy to each straight line that makes up the ring beam as shown below
[0145]
[0146] In the above formula (19), Q r is the total energy of the annular beam, k is the energy distribution coefficient, x r0 ,y r0 are the coordinates generated by the focal plane, w_h_r_ro is the radius of the outer ring beam, and w_h_r_ri is the radius of the inner ring beam.
[0147] At this point, the construction process of the central beam and the outer ring beam is completed, and the effect diagram in MATLAB is as follows Figure 4 , the beam position distribution of each section is as follows Figure 5 .
[0148] An application embodiment of the present invention provides a computer device, which includes a memory and a processor. The memory stores a computer program. When the computer program is executed by the processor, the processor executes the steps of the adjustable annular spot modeling method.
[0149] An application embodiment of the present invention provides a computer-readable storage medium storing a computer program. When the computer program is executed by a processor, the processor executes the steps of the adjustable annular spot modeling method.
[0150] An application embodiment of the present invention provides an information data processing terminal, which includes an adjustable annular light spot modeling system.
[0151] In laser welding, numerical simulation can help understand the complex physical and chemical phenomena involved in the welding process, optimize process parameters, improve weld quality, and reduce experimental costs. Numerical simulation involves geometric modeling, meshing, physical property parameter definition, boundary and initial condition setting, solution, and post-processing. The method of the present invention is primarily used to establish a heat source model. The proposed new annular beam modeling method can better meet the geometric characteristics of a central Gaussian beam, enabling more accurate numerical simulation of the beam's transmission characteristics, thus playing a more important role in numerical simulation.
[0152] First, according to the method mentioned in the specific implementation plan, the corresponding variables are defined and given numerical values. The radius of the central beam is 0.2mm, the radius of the outer ring of the annular beam is 0.87mm, the radius of the inner ring of the annular beam is 0.6mm, the Rayleigh length is 6.72mm, the number of central beams is 30, the number of ring beams is 30, and the vertical coordinate of the beam combining surface is 10mm. Then, the relevant program is written to generate the initial point within the beam radius, determine the direction, and generate the straight generatrix of the single-leaf hyperboloid passing through the point according to the above formula. Given the direction and position, each beam is given the corresponding energy. While generating the point of the central beam through the boxmuller method, the initial point of the outer ring beam is also generated, and the position and direction are also given. Finally, the point distribution effect diagram of each beam section is as follows Figure 5 As shown. The final program runs in fluent, and the shape of the generated beam in space is as follows Figure 6 shown.
[0153] It should be noted that the embodiments of the present invention can be implemented by hardware, software, or a combination of software and hardware. The hardware portion can be implemented using dedicated logic; the software portion can be stored in a memory and executed by an appropriate instruction execution system, such as a microprocessor or dedicated design hardware. Those skilled in the art will appreciate that the above-mentioned devices and methods can be implemented using computer-executable instructions and / or contained in processor control code, for example, such as a carrier medium such as a disk, CD or DVDROM, a programmable memory such as a read-only memory (firmware), or a data carrier such as an optical or electronic signal carrier. Such code is provided on a carrier medium such as a disk, CD or DVDROM, a programmable memory such as a read-only memory (firmware), or a data carrier such as an optical or electronic signal carrier. The device and its modules of the present invention can be implemented by hardware circuits such as very large-scale integrated circuits or gate arrays, semiconductors such as logic chips, transistors, or programmable hardware devices such as field programmable gate arrays, programmable logic devices, etc., or can be implemented by software executed by various types of processors, or can be implemented by a combination of the above-mentioned hardware circuits and software, such as firmware.
[0154] The above description is only a specific embodiment of the present invention, but the scope of protection of the present invention is not limited thereto. Any modifications, equivalent substitutions and improvements made by any technician familiar with this technical field within the technical scope disclosed by the present invention and within the spirit and principles of the present invention should be covered by the scope of protection of the present invention.
Claims
1. A method for modeling an adjustable annular spot, characterized in that: include: S1: Discretize the central beam and the outer ring beam. The central beam is waist-shaped and consists of a series of straight generatrixes of single-leaf hyperbolas. The outer ring beam is cone-shaped and consists of a series of straight generatrixes of cone surfaces. S2: Generate the point of the central beam on the focal plane, and generate a point in a certain range (0, R g ) satisfies the Gaussian distribution point x0, y0, and this point is a point on the straight generatrix. Based on this, the straight generatrix can be generated. g is the radius of the central beam; S3: Generate the points of the outer ring beam on the ring focal plane, and also generate a certain range (0, R r ) points that conform to the Gaussian distribution, expand the generated points to the outer ring area, and according to the transformed coordinates x r ,y r , z r , and then according to the radius of the beam combining surface of the outer ring beam and the central beam, the coordinate x corresponding to the ring focal plane on the beam combining surface can be calculated. h ,y h , z h , R r is the difference between the radius of the outer ring beam and the radius of the inner ring beam; S4: Based on each point generated by the boxmuller algorithm, the distance from this point to the center is used as the radius to generate points with a certain circular interval; S5: Record the position and direction of the points generated in S4, and assign a certain amount of energy to each discrete beam of light.
2. The adjustable annular spot modeling method according to claim 1, characterized in that: In S1, the straight generatrix equation of a single-leaf hyperboloid is expressed in point form as follows: In formula (1) x0 is the horizontal coordinate of the generated point, y0 is the vertical coordinate of the generated point, z0 defaults to 0, a and b are the intersection points of this single-leaf hyperboloid with the x and y axes on the plane z = 0, where a = b, is the waist radius of the central beam, and c is the Rayleigh length of the central beam, where R g is the radius of the central beam.
3. The adjustable annular spot modeling method according to claim 1, characterized in that: The equation of the cone in S3: In formula (2), x r ,y r , z r is the coordinate of the outer ring beam in the focal plane, x n ,y h , z h is the coordinate of the central beam and the outer ring beam on the beam combining surface, where R r is the difference between the radius of the outer ring beam and the radius of the inner ring beam.
4. The adjustable annular spot modeling method according to claim 1, characterized in that: In S5, energy is assigned according to a certain Gaussian distribution. The energy assigned formula is as follows: (3) In the formula, q tg is the energy distributed to each discrete beam at the center, Q g is the total energy of the central beam, k is the energy distribution coefficient, x0, y0 are the coordinates generated by the focal plane, R g is the radius of the central beam; (4) In the formula, q tr is the energy distributed to each beam of the outer ring beam, Q r is the total energy of the outer ring beam, k is the energy distribution coefficient, x0, y0 are the coordinates generated by the focal plane, R r is the difference between the radius of the outer ring beam and the radius of the inner ring beam.
5. An adjustable annular spot modeling system for implementing the adjustable annular spot modeling method according to any one of claims 1 to 4, comprising: Central / Outer Ring Beam Discretization Module: used to discretize the central beam and the outer ring beam. The central beam is waist-shaped and consists of a series of straight generatrixes of single-leaf hyperbolas. The outer ring beam is cone-shaped and consists of a series of straight generatrixes of cone surfaces. Straight busbar generation module: used to generate the point of the central beam on the focal plane, and generate the points in a certain range (0, R g ) satisfies the Gaussian distribution point x0, y0, and this point is a point on the straight generatrix, based on which the straight generatrix can be generated; The module for calculating the coordinates of the beam combining surface and the ring focal plane is used to generate the points of the outer ring beam on the ring focal plane. The boxmuller algorithm is also used to generate the points within a certain range (0, R r ) points that conform to the Gaussian distribution, expand the generated points to the outer ring area, and according to the transformed coordinates x r ,y r , z r , and then according to the radius of the beam combining surface of the outer ring beam and the central beam, the coordinate x corresponding to the ring focal plane on the beam combining surface can be calculated. h ,y h , z h ; Circular interval point generation module: Based on each point generated by the boxmuller algorithm, the distance from this point to the center is used as the radius to generate points with a certain circular interval; Energy imparting module: The application records the position and direction of the points generated by the circular interval point generation module, and imparts a certain amount of energy to each discrete beam of light.
6. A computer device comprising a memory and a processor, wherein the memory stores a computer program, and when the computer program is executed by the processor, the processor executes the steps of the adjustable annular spot modeling method according to any one of claims 1 to 4.
7. A computer-readable storage medium storing a computer program, wherein when the computer program is executed by a processor, the processor executes the steps of the adjustable annular spot modeling method according to any one of claims 1 to 4.
8. An information data processing terminal, comprising the adjustable annular light spot modeling system according to claim 5.
9. A method for modeling an adjustable annular spot for laser micromachining based on the method of claim 1, characterized in that: The following steps are involved: S1: Based on the processing requirements, a Gaussian distribution is used to generate an annular light spot. The shape and size of the light spot are adjusted to meet the requirements of different processing tasks. S2: Discretize the central beam and the outer ring beam, and use the BoxMuller algorithm to generate light spots on the point focal plane and the ring focal plane to achieve uniform distribution of the light spot; S3: Based on the Gaussian distribution formula, the spot energy is optimized to ensure uniform distribution of the spot energy and improve processing accuracy; S4: Apply the generated light spot to laser micromachining equipment. By adjusting the light spot parameters, it can adapt to different materials and process requirements to achieve fine cutting, drilling and etching operations.
10. A method for modeling an adjustable annular spot for an optical measurement system based on the method of claim 1, characterized in that: The following steps are involved: S1: Based on the measurement requirements, a Gaussian distribution is used to generate an annular light spot. The shape and size of the light spot are adjusted to optimize the measurement accuracy. S2: Use the BoxMuller algorithm to generate light spots on the point focal plane and the ring focal plane, and perform discretization processing on the light spots to achieve uniform light spot distribution; S3: Based on the Gaussian distribution formula, the spot energy is optimized to ensure uniform distribution of the spot energy and improve measurement accuracy and stability; S4: Apply the generated light spot to the optical measurement system, and adjust the light spot parameters to adapt to different measurement environments and conditions to achieve high-precision laser interferometry and laser displacement measurement.
Citation Information
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