Gaussian beam shaping lens design method based on partial differential equation solution

A partial differential equation, Gaussian beam technology, applied in the field of Gaussian beam shaping lens design, can solve problems such as time-consuming and ineffective guarantee, and achieve excellent shaping effect, short design time and high precision.

Inactive Publication Date: 2021-06-04
JIANGSU UNIV
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Problems solved by technology

This method cannot effectively guarantee the optimal solution, and the process of repeated optimization takes a lot of time

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  • Gaussian beam shaping lens design method based on partial differential equation solution
  • Gaussian beam shaping lens design method based on partial differential equation solution
  • Gaussian beam shaping lens design method based on partial differential equation solution

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Embodiment Construction

[0038] The technical solutions of the present invention will be further described in detail below with reference to the drawings.

[0039] See figure 1 The first lens is a flat convex lens. The Gaussian light is first incident by the plane 1 and then refracted by the convex surface 2 to the convex surface 3. After refracting, it is a collimated parallel light exit. Since the last side is plane, it does not affect the results, after the results The collimator is uniform, that is, the optical strength does not change as the longitudinal position.

[0040] See figure 2 In this figure, the direction in which the light incident is incident is a Y-axis, and the vertical direction is an X-axis. The specific partial sub-component construct is as follows:

[0041] Snell law can be used on the surface 2:

[0042] n 1 sinθ 1 = N 2 sinθ 2

[0043] n 1 N 2 The refractive index and air refractive index of the lens, respectively, and θ 1 , Θ 2 The normal slope K1 can be represented by the surfa...

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Abstract

The invention discloses a free-form surface lens design method for laser shaping. The method comprises the following steps of searching the relation among incident Gaussian light, a lens curved surface and target surface illuminance based on the snell law, constructing a partial differential equation of the lens curved surface, programming in MATLAB, and solving curve discrete points of the lens by using a Runge-Kutta method. The obtained data are imported into solidworks software, a lens 3D model is constructed and imported into optical software ZEMAX software for verification, simulation analysis results show that the Gaussian beam is successfully shaped into the flat-topped beam, and the target surface illumination uniformity reaches 95% or above.

Description

Technical field [0001] The present invention belongs to the field of optical system design, and more particularly to a Gaussian beam shaping lens design method based on a partial micromatographic equation. Background technique [0002] Laser processing technology has an important role in today's industrial field, in which the energy control of laser beam is one of the most important factors. At present, various optical systems have been developed for laser beam shaping, but most of the design is a non-spherical surface in optical software, and the lens is optimized by optimizing functions. This method does not effectively ensure that the optimal solution is obtained, and the process of repeated optimization needs to spend a lot of time. Therefore, how to quickly design effective plastic lens significance. Inventive content [0003] This paper provides a method of designing a partial dimming equation to decomposing the lens, using the MATLAB program written by the design method t...

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Application Information

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Patent Type & AuthorityApplications(China)
IPC IPC(8): G02B27/00G02B27/09
CPCG02B27/0012G02B27/0955
Inventor张良陈磊于存胜吕柳
OwnerJIANGSU UNIV