A particle swarm design method for transforming Gaussian beams into flat-hat beam shaping lenses
A Gaussian beam, flat top beam technology, used in optics, optical components, instruments, etc.
Active Publication Date: 2020-12-22
SHANDONG UNIV OF TECH
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However, so far, the particle swarm optimization algorithm has not been introduced into the design of the beam shaping system. Therefore, combining the design of the beam shaping system with the particle swarm optimization algorithm makes the design of the beam shaping system more intelligent and procedural. has important practical significance
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Embodiment 1
[0042] Let the one-dimensional intensity distribution of the input Gaussian beam be ,make I 0 =1, Gaussian spot radius mm, the radiation intensity of the outgoing beam is H=0.1, and the material used for the lens is SK2 glass with a refractive index of 1.601681 for red light.
[0043] Then the particle swarm design method for transforming a Gaussian beam into a flat-top beam shaping lens includes the following steps:
[0044] 1. The shaping system is a single aspheric lens, the front surface is a convex aspheric surface, and the rear surface is a plane, such as figure 1 shown. The aspheric equation is
[0045]
[0046] In the above formula is the off-axis height of any point on the aspheric surface, C is the vertex curvature, is the quadratic surface coefficient, is the aspherical deformation coefficient.
[0047] Take the aspheric parameters of the front surface of the lens C、 , , , , d 1 , d 2 As a component of the position vector of each parti...
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The invention discloses a design method of a single aspherical shaping lens for transforming a Gaussian beam into a flat-hat beam—particle swarm optimization algorithm. According to the energy conservation before and after the beam transformation, the theoretical value of the coordinates of the intersection point between the outgoing light of the shaping lens and the output surface is obtained, and this theoretical value is taken as the target value, and the actual value of the intersection coordinates of the outgoing light of the shaping lens and the output surface is obtained according to the law of refraction. The absolute value of the difference between the actual value and the target value of many rays constitutes the evaluation function of the beam shaping system, and this evaluation function is used as the fitness function in the particle swarm optimization algorithm, so that the structural parameters of the shaping lens are connected with the fitness function in the particle swarm optimization algorithm In summary, a method of using particle swarm algorithm to design the beam shaping system is proposed, and this design method is realized by programming, which makes the design of the shaping system programmatic and intelligent. The invention also discloses a single aspherical lens used for laser beam shaping based on the method.
Description
technical field [0001] The invention belongs to the technical field of non-imaging optics and laser beam shaping, and in particular relates to a new design method of an aspheric lens for laser beam shaping. Background technique [0002] Flat-top beams with uniform light intensity distribution have a wide range of applications, such as laser cleaning, laser holography, laser medical treatment, laser shock strengthening, inertial confinement fusion and other fields. At present, the main methods for obtaining flat-top beams are: the use of special resonators, the laser medium gain saturation effect method, beam synthesis and beam shaping techniques, among which the simplest and most common is the beam shaping method. [0003] Shaping techniques to shape a Gaussian beam into a top-flat beam require the aid of a beam shaping system. Relying on shaping systems to obtain top-flat beam shaping methods such as: filter method with inverse Gaussian distribution and absorption proposed...
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IPC IPC(8): G02B27/09G02B27/00
CPCG02B27/0012G02B27/0927G02B27/0955
Inventor 秦华张爽杨开刘珍李文瑞韩克祯
Owner SHANDONG UNIV OF TECH