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CN108174592A - Design method of overlapping ring grid based on random center position and variable diameter - Google Patents

Design method of overlapping ring grid based on random center position and variable diameter Download PDF

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Publication number
CN108174592A
CN108174592A CN201711390535.4A CN201711390535A CN108174592A CN 108174592 A CN108174592 A CN 108174592A CN 201711390535 A CN201711390535 A CN 201711390535A CN 108174592 A CN108174592 A CN 108174592A
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random
grid
annulus
diameter
overlapping
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刘永猛
左翠莲
谭久彬
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Harbin Institute of Technology Shenzhen
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Harbin Institute of Technology Shenzhen
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    • HELECTRICITY
    • H05ELECTRIC TECHNIQUES NOT OTHERWISE PROVIDED FOR
    • H05KPRINTED CIRCUITS; CASINGS OR CONSTRUCTIONAL DETAILS OF ELECTRIC APPARATUS; MANUFACTURE OF ASSEMBLAGES OF ELECTRICAL COMPONENTS
    • H05K9/00Screening of apparatus or components against electric or magnetic fields
    • H05K9/0007Casings
    • H05K9/0058Casings specially adapted for optoelectronic applications
    • GPHYSICS
    • G02OPTICS
    • G02BOPTICAL ELEMENTS, SYSTEMS OR APPARATUS
    • G02B27/00Optical systems or apparatus not provided for by any of the groups G02B1/00 - G02B26/00, G02B30/00
    • G02B27/0012Optical design, e.g. procedures, algorithms, optimisation routines
    • GPHYSICS
    • G02OPTICS
    • G02BOPTICAL ELEMENTS, SYSTEMS OR APPARATUS
    • G02B5/00Optical elements other than lenses
    • G02B5/18Diffraction gratings
    • G02B5/1866Transmission gratings characterised by their structure, e.g. step profile, contours of substrate or grooves, pitch variations, materials

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  • Physics & Mathematics (AREA)
  • General Physics & Mathematics (AREA)
  • Optics & Photonics (AREA)
  • Engineering & Computer Science (AREA)
  • Microelectronics & Electronic Packaging (AREA)
  • Shielding Devices Or Components To Electric Or Magnetic Fields (AREA)

Abstract

Based on center location, annulus grid design method Chong Die with variable diameters belongs to the electromangnetic spectrum field of optical window at random, overlapping annulus grid can random parameter include diameter and cycle parameter.The present invention is using the random fashion of random diameter and cycle parameter simultaneously, the random of period is realized by the random of center location, the random areas of center location is respectively the polygonal regions such as quadrangle, hexagon and border circular areas, and diameter parameters carry out at random in the symmetrical range centered on initial diameter value.The center location for each annulus unit being overlapped in annulus grid is randomized the overlapping annulus grid to obtain having random structure in fixed area, the period of annulus in grid structure and diameter can effectively be randomized by this random device.Relative to the grid of traditional periodic structure, the overlapping annulus grid based on this random device can effectively be homogenized the high level diffraction energy of grid, and the distribution for making stray light is more uniform, significantly reduces the influence to image quality.

Description

基于圆心位置随机与变直径的重叠圆环网栅设计方法Design method of overlapping ring grid based on random center position and variable diameter

技术领域technical field

本发明属于光学窗电磁屏蔽领域,特别涉及一种基于圆心位置随机与变直径的重叠圆环网栅设计方法。The invention belongs to the field of electromagnetic shielding of optical windows, and in particular relates to a design method of overlapping circular ring grids based on random center positions and variable diameters.

背景技术Background technique

随着无线设备的快速发展,电磁波被广泛应用于生产和生活的各个方面,空间电磁环境也变得越来越复杂,特别是在微波波段和无线电波段。因此,电磁干扰的屏蔽逐渐成为了诸多领域急需解决的问题,如光学窗精密探测、航空航天装置、医疗器械以及电子显示等领域。光学窗口的电磁屏蔽需要同时满足可见光和红外波段的高透过性以及微波和无线电波段的强电磁屏蔽性能。为了解决光学窗的电磁屏蔽问题,诸多方法相继被提出,如ITO透明导电膜,频率选择表面(FSS),石墨烯薄膜,纳米银线,金属网栅等。具有亚毫米级周期的金属网栅可透过波长小于其周期的可见光及红外波段的光,同时屏蔽掉波长大于其周期的微波及无线电波段的电磁波,在光学窗电磁屏蔽领域获得了广泛的应用。With the rapid development of wireless devices, electromagnetic waves are widely used in all aspects of production and life, and the space electromagnetic environment is becoming more and more complex, especially in the microwave and radio bands. Therefore, the shielding of electromagnetic interference has gradually become an urgent problem in many fields, such as the precision detection of optical windows, aerospace devices, medical devices, and electronic displays. The electromagnetic shielding of the optical window needs to meet the high transmittance of visible light and infrared bands and the strong electromagnetic shielding performance of microwave and radio bands at the same time. In order to solve the electromagnetic shielding problem of optical windows, many methods have been proposed, such as ITO transparent conductive film, frequency selective surface (FSS), graphene film, nano-silver wire, metal grid, etc. The metal grid with a submillimeter period can transmit visible light and infrared light with a wavelength shorter than its period, and at the same time shield microwave and radio electromagnetic waves with a wavelength longer than its period, and has been widely used in the field of electromagnetic shielding for optical windows. .

传统周期方格结构金属网栅的周期结构在光学波段起着二维衍射光栅的作用,这使得网栅在光学成像时会在像面上形成集中分布分光学衍射图样,集中分布的高级次衍射能量会降低光学探测器件的成像质量,影响正常探测,严重时会造成虚假目标的探测,危害极大。为了解决网栅衍射特性的问题,诸多不同结构网栅被提出。The periodic structure of the traditional periodic grid structure metal grid plays the role of a two-dimensional diffraction grating in the optical band, which makes the grid form a concentrated distribution of optical diffraction patterns on the image plane during optical imaging, and concentrated distribution of high-order diffraction The energy will reduce the imaging quality of the optical detection device and affect the normal detection. In serious cases, it will cause the detection of false targets, which is extremely harmful. In order to solve the problem of grid diffraction characteristics, many grids with different structures have been proposed.

专利CN1889822“具有圆环金属网栅结构的电磁屏蔽光学窗”描述了具有圆环外形的金属网栅单元,按二维正交排列方式秘接排布构成金属网栅阵列,该结构有利于光学窗后成像系统成像质量的提高。Patent CN1889822 "Electromagnetic Shielding Optical Window with Ring Metal Grid Structure" describes metal grid units with a ring shape, which are secretly arranged in a two-dimensional orthogonal arrangement to form a metal grid array. This structure is conducive to optical Improving the imaging quality of the behind-the-window imaging system.

专利CN101222839“一种具有双层圆环金属网栅结构的电磁屏蔽光学窗”描述了一种由两层圆环金属网栅加载于光学窗两侧构成的电磁屏蔽光学窗,解决高透光性和强电磁屏蔽性能不能同时兼顾的问题。The patent CN101222839 "an electromagnetic shielding optical window with a double-layer circular metal grid structure" describes an electromagnetic shielding optical window composed of two layers of circular metal grids loaded on both sides of the optical window to solve the problem of high light transmittance. And the problem that the strong electromagnetic shielding performance cannot be taken into account at the same time.

专利CN2233113“无莫尔条纹电磁屏蔽观察窗”采用由两层数目不同的金属网平行放置,且它们经线或纬线存在一定的夹角,从而达到克服莫尔条纹现象,实现更清晰的视野。The patent CN2233113 "Moiré-free electromagnetic shielding observation window" adopts two layers of metal mesh with different numbers placed in parallel, and there is a certain angle between their warp and weft, so as to overcome the moiré phenomenon and achieve a clearer view.

专利CN103763907A“基于二维正交分布相切圆环及内切子圆环阵列的电磁屏蔽光窗”描述了由按二维正交分布的基本圆环以及其内切子环构成的金属网栅结构,该结构可实现网栅高级次衍射能量的深度优化。Patent CN103763907A "Electromagnetic shielding light window based on two-dimensional orthogonal distribution of tangent rings and inscribed sub-ring arrays" describes a metal grid structure composed of two-dimensional orthogonally distributed basic rings and their inscribed sub-rings. This structure can realize the deep optimization of grid high-order diffraction energy.

专利CN103763901A“基于三角分布相切圆环及内切子圆环阵列的电磁屏蔽光窗”描述了一种加载于光学窗透明基片表面的含有内切子环结构的金属圆环按等边三角形排列密接构成的网栅阵列,该结构可显著的降低网栅高级次衍射光强分布的不均匀性,对成像影响更小。Patent CN103763901A "Electromagnetic shielding optical window based on triangular distribution of tangent rings and inscribed sub-ring arrays" describes a kind of metal rings containing inscribed sub-ring structures loaded on the surface of the transparent substrate of the optical window in an equilateral triangle arrangement. The grid array is formed, and this structure can significantly reduce the non-uniformity of the light intensity distribution of the high-order diffraction of the grid, and has less influence on the imaging.

专利CN103763896A“双层交错多周期金属圆环嵌套阵列的电磁屏蔽光窗”描述了一种由两层交错排列的金属网栅构成的电磁屏蔽光窗,显著降低了网栅衍射光强分布的不均匀性,减小对成像的影响。Patent CN103763896A "Electromagnetic shielding light window of double-layer staggered multi-period metal ring nested array" describes an electromagnetic shielding light window composed of two layers of metal grids staggered, which significantly reduces the intensity distribution of grid diffraction. Inhomogeneity, reducing the impact on imaging.

专利CN102723126A“一种基于随机网格的图形化透明导电薄膜”描述了一种导电区域由形状不规则的随机网格构成的透明导电薄膜,优势在于不会产生莫尔条纹。Patent CN102723126A "A Patterned Transparent Conductive Film Based on Random Grid" describes a transparent conductive film whose conductive region is composed of irregularly shaped random grids, and has the advantage of not generating moiré fringes.

专利CN102902856A“金属网导电薄膜的随机网格设计方法、导电膜及其制作方法”描述了一种由规则图形组成的周期性网格生成不规则多边形组成的随机网格,避免莫尔条纹的产生以及消除透过率差异。Patent CN102902856A "Random grid design method of metal mesh conductive film, conductive film and its manufacturing method" describes a periodic grid composed of regular graphics to generate a random grid composed of irregular polygons to avoid the generation of Moiré fringes and to eliminate differences in transmittance.

专利CN104950365A“一种光学透明频率选择表面结构及制作方法”描述了一种基于随机裂缝掩膜的频率选择表明结构,优势在于可避免因金属线宽增加而降低透光性问题且可实现均化高级次衍射能量的目的。Patent CN104950365A "An Optically Transparent Frequency Selective Surface Structure and Manufacturing Method" describes a frequency selective surface structure based on a random crack mask. The advantage is that it can avoid the problem of reducing light transmittance due to the increase of metal line width and can achieve homogenization. The purpose of high-order diffraction energy.

专利1-6均为传统的周期结构金属网栅,传统结构网栅具有固定大小的周期,因此在光学波段的高级次衍射能量分布较为集中,严重地降低成像质量,在专利7-9中,提出了随机网格的设计方法,生成了随机分布的多边形网格结构,但相比于多边形结构,圆环结构因其自身的对称性,在均化网栅高级次衍射能量方面更具优势。本发明结合了圆环思想与随机思想提出了基于圆心位置随机与变直径的重叠圆环网栅设计方法,此随机方法将网栅的周期与直径参数同时随机化,因此相比于单参数随机结构基于双参数随机方式网栅结构的随机化效果更优,基于此随机方法的重叠圆环网栅通过改变网栅中圆环单元的直径与周期达到了均化高级次衍射能量的目的,高级次衍射能量对成像质量造成的影响显著降低,网栅可同时实现光学波段的高透过性与微波波段的强电磁屏蔽性能。Patents 1-6 are all traditional metal grids with periodic structure. Traditional structure grids have a period of fixed size, so the high-order diffraction energy distribution in the optical band is relatively concentrated, which seriously reduces the imaging quality. In patents 7-9, A random grid design method is proposed, and a randomly distributed polygonal grid structure is generated. However, compared with the polygonal structure, the ring structure has more advantages in homogenizing the high-order diffraction energy of the grid due to its own symmetry. The present invention combines the idea of rings and randomness to propose a design method for overlapping ring grids based on random center positions and variable diameters. This random method randomizes the period and diameter parameters of the grid at the same time. The randomization effect of the grid structure based on the double-parameter random method is better. The overlapping circular ring grid based on this random method achieves the purpose of homogenizing the high-order diffraction energy by changing the diameter and period of the circular ring units in the grid. Advanced The impact of sub-diffraction energy on imaging quality is significantly reduced, and the grid can simultaneously achieve high transparency in the optical band and strong electromagnetic shielding performance in the microwave band.

发明内容Contents of the invention

本发明的目的在于提供了一种基于圆心位置随机与变直径的重叠圆环网栅设计方法,以改善传统周期结构金属网栅的高级次衍射能量集中分布的问题,可同时达到高透光率低成像质量影响与强电磁屏蔽性能。The purpose of the present invention is to provide a design method based on the random center position and variable diameter of overlapping ring grids to improve the concentrated distribution of high-order diffraction energy of traditional periodic structure metal grids and achieve high light transmittance at the same time Low imaging quality impact and strong electromagnetic shielding performance.

为实现上述目的,本发明提供如下技术方案:To achieve the above object, the present invention provides the following technical solutions:

本发明的思想是结合圆环结构与随机结构两种思想,提出了基于圆心位置随机与变直径的重叠圆环网栅设计方法,从而达到均化网栅高级次衍射能量的目的,同时保证网栅具有高透光性与强电磁屏蔽性能。The idea of the present invention is to combine the two ideas of ring structure and random structure, and propose a design method for overlapping ring grids based on random center position and variable diameter, so as to achieve the purpose of homogenizing the high-order diffraction energy of the grid, and at the same time ensure that the grid The grid has high light transmittance and strong electromagnetic shielding performance.

一种基于重叠圆环网栅的直径参数与具有圆形随机区域的周期参数的随机方法,其特征在于该网栅由圆环单元构成,在周期阵列排布的重叠圆环网栅的基础上进行随机化得到,网栅的可随机参数包括直径2R与周期gA stochastic method based on the diameter parameter of overlapping ring grids and the periodic parameters with circular random regions, characterized in that the grid is composed of ring units, on the basis of overlapping ring grids arranged in periodic arrays Through randomization, the random parameters of the grid include diameter 2 R and period g .

根据权利要求1所述的基于重叠圆环网栅的直径参数与具有圆形随机区域的周期参数的随机方法,其特征在于,包括如下步骤:The random method based on the diameter parameter of overlapping ring grid and the period parameter with circular random area according to claim 1, it is characterized in that, comprises the steps:

(1)将圆环单元以60°周期阵列排布,为了保证圆环间相互交叠;(1) Arrange the ring units in a 60° periodic array, in order to ensure that the rings overlap each other;

(2)在每个圆的圆心位置生成以圆心为中心的大小固定的区域;(2) Generate a fixed-sized area centered on the center of each circle at the center of each circle;

(3)在每个固定的区域内生成随机的点,即为随机后的圆心位置;(3) Generate random points in each fixed area, which is the random center position;

(4)将每个圆的直径参数2R在初始直径参数2R 0的对称范围[2R 0R,2R 0R]内进行随机化。(4) Randomize the diameter parameter 2 R of each circle within the symmetrical range [2 R 0 R ,2 R 0R ] of the initial diameter parameter 2 R 0 .

根据权利要求1所述的基于圆心位置随机与变直径的重叠圆环网栅设计方法,其特征在于网栅的周期g与直径2R的比值g/2R大于1。According to claim 1, the design method of overlapping circular ring grids based on random center positions and variable diameters is characterized in that the ratio g / 2R of the period g of the grid to the diameter 2R is greater than 1.

根据权利要求1所述的基于圆心位置随机与变直径的重叠圆环网栅设计方法,其特征在于网栅的随机方式为同时随机周期g与直径2R参数。According to claim 1, the method for designing overlapping circular ring grids based on random center positions and variable diameters is characterized in that the random mode of the grids is randomization of period g and diameter 2R parameters at the same time.

根据权利要求1所述的基于圆心位置随机与变直径的重叠圆环网栅设计方法,其特征在于周期g的随机范围可通过改变固定区域的大小来调节,固定区域的范围需小于圆环单元的区域范围。According to claim 1, the overlapping ring grid design method based on the random center position and variable diameter is characterized in that the random range of the period g can be adjusted by changing the size of the fixed area, and the range of the fixed area needs to be smaller than the ring unit area range.

根据权利要求1所述的基于圆心位置随机与变直径的重叠圆环网栅设计方法,其特征在于,步骤1中,所述固定区域为四边形、六边形等多边形区域以及圆形。According to claim 1, based on random center position and variable diameter overlapping ring grid design method, it is characterized in that, in step 1, the fixed area is a polygonal area such as a quadrangle, a hexagon, and a circle.

根据权利要求1所述的基于圆心位置随机与变直径的重叠圆环网栅设计方法,其特征在于周期g与直径2R的随机方式为均匀分布。According to claim 1, the design method of overlapping ring grids based on random center position and variable diameter is characterized in that the random mode of period g and diameter 2 R is uniform distribution.

本发明具有如下新颖性和显著效果:The present invention has following novelty and remarkable effect:

本发明提出了一种基于圆心位置随机与变直径的重叠圆环网栅设计方法,此随机方法可将重叠圆环网栅的周期与直径参数有效地随机化,通过合理地控制网栅参数与参数的随机范围来保证网栅各相邻圆环单元之间相互交叠电气连接且可生成直径与周期同时随机的重叠圆环网栅结构。The present invention proposes a design method of overlapping ring grids based on random center positions and variable diameters. This random method can effectively randomize the period and diameter parameters of overlapping ring grids. By reasonably controlling grid parameters and The random range of parameters is used to ensure that the adjacent ring units of the grid are overlapped and electrically connected to each other, and an overlapping ring grid structure with random diameter and period can be generated.

本发明提出了一种基于圆心位置随机与变直径的重叠圆环网栅设计方法,相比于传统的周期结构网栅,基于此随机方法的重叠圆环网栅有效地将网栅结构中的周期与圆环直径随机化,生成了具有不同方位不同直径的圆环单元结构的重叠圆环网栅,此结构随机网栅可有效地均化集中分布的高级次衍射能量,降低对成像质量的影响,且同时可实现高透光率与强电磁屏蔽效率。随机结构的重叠圆环网栅的各圆环单元具有不同的直径与不同的周期,在原理上改善了网栅高级次衍射能量的集中分布问题。The present invention proposes a design method of overlapping ring grids based on random center positions and variable diameters. Compared with traditional periodic structure grids, the overlapping ring grids based on this random method effectively combine the The period and ring diameter are randomized to generate overlapping ring grids with ring unit structures with different orientations and different diameters. This random grid structure can effectively homogenize the concentratedly distributed high-order diffraction energy and reduce the impact on imaging quality. Influence, and at the same time can achieve high light transmittance and strong electromagnetic shielding efficiency. Each ring unit of the overlapping ring grid with a random structure has different diameters and different periods, which in principle improves the problem of concentrated distribution of high-order diffraction energy of the grid.

附图说明Description of drawings

图1为本发明所述的随机重叠圆环结构金属网栅的结构示意图。Fig. 1 is a structural schematic diagram of a metal grid with a random overlapping ring structure according to the present invention.

图2为本发明所述的随机重叠圆环结构金属网栅的直径2R的随机方法示意图。Fig. 2 is a schematic diagram of a random method of diameter 2 R of the metal mesh grid with a random overlapping ring structure according to the present invention.

图3为本发明所述的随机重叠圆环结构金属网栅的周期g(随机区域为圆形)的随机方法示意图。Fig. 3 is a schematic diagram of the random method of the period g (the random area is a circle) of the randomly overlapping ring-structure metal grid according to the present invention.

图4为本发明所述的随机重叠圆环结构金属网栅的周期g(随机区域为四边形)的随机方法示意图。Fig. 4 is a schematic diagram of the random method of the period g (the random area is a quadrilateral) of the randomly overlapping ring-structure metal grid according to the present invention.

图5为本发明所述的随机重叠圆环结构金属网栅的周期g(随机区域为六边形)的随机方法示意图。Fig. 5 is a schematic diagram of a random method for the period g (the random area is a hexagon) of the metal mesh grid with a random overlapping ring structure according to the present invention.

图6为本发明所述的随机重叠圆环结构金属网栅的周期g与直径2R随机后的网栅结构示意图。Fig. 6 is a schematic diagram of the grid structure after the period g and the diameter 2 R of the random overlapping ring structure metal grid according to the present invention are randomized.

具体实施方式Detailed ways

下面将结合本发明实施例中的附图,对本发明实施例中的技术方案进行详细的描述。The technical solutions in the embodiments of the present invention will be described in detail below in conjunction with the drawings in the embodiments of the present invention.

实施例1:Example 1:

在本实施例中,随机重叠圆环网栅周期g的随机区域为圆形区域,周期结构重叠圆环网栅的初始参数为周期g 0=400μm,直径2R 0=600μm。网栅的周期g的随机范围设计为35%,直径2R的随机范围设计为35%。在每个圆环单元的圆心位置生成半径为r的圆形区域,此圆形区域与圆环同心,在半径为r的小圆的X轴方向生成一系列均匀分布的点,在X方向随机选取一个点,并在与此x坐标对应的Y方向选取一个y坐标,(x,y)即为圆环随机后的圆心位置,周期g的随机范围为[g 0-2r,g 0-2r]。圆环直径在[2R 0R,2R 0R]内进行随机。通过调节r的值来改变周期g随机区域的大小,通过调节ΔR,的大小来改变直径2R的随机范围。In this embodiment, the random region of the period g of the randomly overlapping ring grid is a circular region, and the initial parameters of the overlapping ring grid of the periodic structure are period g 0 =400 μm and diameter 2 R 0 =600 μm. The random range of the period g of the grid is designed to be 35%, and the random range of the diameter 2 R is designed to be 35%. A circular area with a radius of r is generated at the center of each ring unit. This circular area is concentric with the ring, and a series of uniformly distributed points are generated in the X-axis direction of a small circle with a radius of r , and randomly distributed in the X direction. Select a point, and select a y coordinate in the Y direction corresponding to this x coordinate, ( x , y ) is the position of the center of the circle after randomization, and the random range of period g is [ g 0 -2 r , g 0 - 2r ]. The ring diameter is randomized within [2 R 0R ,2 R 0R ]. By adjusting the value of r to change the size of the period g random region, by adjusting the size of Δ R , to change the random range of diameter 2 R.

实施例2:Example 2:

在本实施例中,随机重叠圆环网栅周期g的随机区域为正方形区域,周期结构重叠圆环网栅的初始参数为周期g 0=400μm,直径2R 0=600μm。在每个圆环的圆心位置生成边长为a的正方形区域,正方形的区域中心与圆环圆心重合,在正方形的在X轴方向随机选取一个点,并在与此x坐标对应的Y轴方向选取一个y坐标,(x,y)即为圆环随机后的圆心位置,周期g的随机范围为[g 0-a,(g 0 2+2a 2+2g 0 a)1/2]。通过调节边长a的值来改变周期g随机区域的大小,通过调节ΔR,的大小来改变直径2R的随机范围。In this embodiment, the random region of the period g of the randomly overlapping circular ring grid is a square region, and the initial parameters of the periodic overlapping circular ring grid are period g 0 =400 μm and diameter 2 R 0 =600 μm. A square area with side length a is generated at the center of each ring. The center of the square area coincides with the center of the ring. Randomly select a point in the X-axis direction of the square, and in the Y-axis direction corresponding to this x coordinate. Select a y coordinate, ( x , y ) is the center position of the ring after randomization, and the random range of period g is [ g 0 - a ,( g 0 2 +2 a 2 +2 g 0 a ) 1/2 ] . By adjusting the value of the side length a to change the size of the period g random area, by adjusting the size of Δ R , to change the random range of the diameter 2 R.

实施例3:Example 3:

在本实施例中,随机重叠圆环网栅周期g的随机区域为六边形区域,周期结构重叠圆环网栅的初始参数为周期g 0=400μm,直径2R 0=600μm。在每个圆环的圆心位置生成边长为b的正六边形区域,正六边形的区域中心与圆环圆心重合,在正六边形的X轴方向随机选取一个点,并在与x坐标对应的Y轴方向选取一个y坐标,(x,y)即为圆环随机后的圆心位置,g的随机范围为[g 0-1.732b,(g 0 2+4b 2+3.464bg 0)1/2],通过调节ΔR,的大小来改变直径2R的随机范围。In this embodiment, the random region of the period g of the randomly overlapping ring grid is a hexagonal region, and the initial parameters of the overlapping ring grid of the periodic structure are period g 0 =400 μm, diameter 2 R 0 =600 μm. A regular hexagonal area with side length b is generated at the center of each ring. The center of the regular hexagon coincides with the center of the ring. Select a random point in the X-axis direction of the regular hexagon and correspond to the x coordinate. Select a y- coordinate in the Y-axis direction of , ( x , y ) is the center position of the ring after randomization, and the random range of g is [ g 0 -1.732 b ,( g 0 2 +4 b 2 +3.464 bg 0 ) 1 /2 ], change the random range of diameter 2 R by adjusting the size of Δ R .

Claims (7)

  1. It is 1. a kind of based on center location annulus grid design method overlapping with variable diameters at random, it is characterised in that the grid is by justifying Ring element form, periodic array arrangement overlapping annulus grid on the basis of be randomized, grid can random parameter packet Include diameter 2RWith the periodg
  2. 2. it is according to claim 1 based on center location annulus grid design method overlapping with variable diameters at random, it is special Sign is, includes the following steps:
    (1)Annulus unit is arranged with 60 ° of periodic arrays, it is mutually overlapping between adjacent rings;
    (2)The fixed-size region centered on the center of circle is generated in the center location of each annulus;
    (3)Generate a random point in the fixed area of each circle ring center, it is as random after center location;
    (4)By each diameter of a circle parameter 2RIn initial diameter parameter 2R 0Symmetrical range [2R 0R,2R 0R] in carry out Randomization.
  3. 3. the diameter parameters according to claim 1 based on overlapping annulus grid are joined with the period with round random areas Several random device, it is characterised in that the period of gridgWith diameter 2RRatiog/2RMore than 1.
  4. 4. it is according to claim 1 based on center location annulus grid design method overlapping with variable diameters at random, it is special Sign is that the random fashion of grid is random period simultaneouslygWith diameter 2RParameter.
  5. 5. it is according to claim 1 based on center location annulus grid design method overlapping with variable diameters at random, it is special Sign is the periodgRandom range can be adjusted by changing the size of fixed area, the range of fixed area need to be less than annulus The regional extent of unit.
  6. 6. it is according to claim 1 based on center location annulus grid design method overlapping with variable diameters at random, it is special Sign is, in step 1, the fixed area is polygonal regions and the circles such as quadrangle, hexagon.
  7. 7. it is according to claim 1 based on center location annulus grid design method overlapping with variable diameters at random, it is special Sign is the periodgWith diameter 2RRandom fashion to be uniformly distributed.
CN201711390535.4A 2017-12-21 2017-12-21 Design method of overlapping ring grid based on random center position and variable diameter Pending CN108174592A (en)

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