| 10 | 13 | 0 |
 阅读 |
 下载 |
 被引 |
本文基于远场近轴下的多圆孔结构衍射原理，应用Matlab软件模拟分析了多圆孔结构的衍射干涉图样，并搭建夫琅禾费衍射光路系统，对正六边形多圆孔结构、类单层石墨烯多圆孔结构和类准晶石墨烯多圆孔结构的衍射干涉图样进行了实验研究，模拟分析结果与实验研究吻合较好。本文对多圆孔结构的夫琅禾费衍射和干涉的研究，为波动光学教学提供了一种具有直观性、趣味性和启发性的教学方法。特别是类准晶石墨烯多圆孔结构的衍射研究，还为准晶材料的结构分析提供了一种简单、易操作和低成本的可视化研究方案。
Abstract：Based on the diffraction principle of multiple circular pinholes structure under the paraxial approximation in the far field, this paper uses Matlab to simulate and analyze the diffraction and interference patterns of such structures. It sets up a Fraunhofer diffraction optical system to study the patterns of regular hexagonal multiple circular pinholes structure, single-layer graphene-like multiple circular pinholes structure and quasi-crystalline graphite-like multiple circular pinholes structure. The simulation aligns well with experimental results. This study offers an intuitive, interesting, and inspiring teaching method for wave optics education and a simple, easy-to-operate, and low-cost visualization scheme for quasicrystal material structure analysis, especially in the research on quasicrystal graphene-like multiple circular pinholes structure diffraction.
[1] 吴文利.课改下信息技术与物理教具整合的实例研究——以“实验：用双缝干涉测量光的波长”为例[J].物理教学探讨，2023,41(6):53-55.WU W L.A Case Study on the Integration of Information Technology and Physics Teaching Aids under Curriculum Reform Take “Experiment:Measuring the Wavelength of Light with Double-slit Interferometry” as an example[J].Discussion on Physics Teaching,2023,41(6):53-55.(in Chinese)
[2] 王程，邓王红，孙飞.基于Mathematica的杨氏双缝干涉的仿真实验研究[J].物理与工程，2023,33(3):64-69.WANG C,DENG W H,SUN F.Study of simulation experiment of Yong's double-slit interference based on Mathematica[J].Physics and Engineering,2023,33(3):64-69.(in Chinese)
[3] 何皓轩，史仟芝，杨莎，等.圆孔和矩形孔夫琅禾费衍射的MATLAB仿真对比研究[J].科技风，2022(3):4.HE H X,SHI Q Z,YANG S,et al.Comparative study on Fraunhofer diffraction of circular hole and rectangular hole by MATLAB simulation[J].Technology Wind,2022(3):4.(in Chinese)
[4] 张超，胡其图，吴艳，等.夫琅禾费圆孔衍射斑动态叠加过程的计算机模拟[J].物理与工程，2004,14(6):5.ZHANG C,HU Q T,WU Y,et al.Computer simulation on the dynamic superpose of fraunhofer circular hole diffraction speckles[J].Physics and Engineering,2004,14(6):5.(in Chinese)
[5] 袁宇博，赵小侠，郭钊，等.基于圆孔的光近场远场衍射实验研究[J].大学物理实验，2022,35(1).YUAN Y B,ZHAO X X,GUO Z,et al.Near-field and far-field light diffraction experimental study based on circular hole[J].Physical Experiment of College,2022,35(1).(in Chinese)
[6] 李新龙.基于MATLAB对夫琅禾费圆孔衍射的仿真[J].新型工业化，2021(11):11.LI X L.Simulation of Fraunhofer circular hole diffraction based on MATLAB[J].The Journal of New Industrialization,2021(11):11.(in Chinese)
[7] CHOI S,TAKASHIMA Y,MIN S W.Improvement of fill factor in pinhole-type integral imaging display using a retroreflector[J].Optics Express,2017,25(26):33078.
[8] 王金凤，李辩，孙明宇.激光直写氧化石墨烯可调光子筛[J].光学仪器，2023,45(6):68-75.WANG J F,LI B,SUN M Y.Tunable photon sieve based on laser direct writing graphene oxide[J].Optical Instruments,2023,45(6):68-75.(in Chinese)
[9] CAO Q,Jürgen Jahns.Focusing analysis of the pinhole photon sieve:Individual far-field model[J].Journal of the Optical Society of America A Optics Image Science & Vision,2002,19(12):2387.
[10] 李润泉，王智，崔粲，等.正六边形多孔阵列的涡旋光衍射[J].光学学报，2018,38(10):6.LI R Q,WANG Z,CUI C,et al.Diffraction of vortex beam by regular hexagonal multi-hole array[J].Acta Optica Sinica,2018,38(10):6.(in Chinese)
[11] Jorge Iván García-Sucerquia,Román Castaňeda,MEDINA F F,et al.Distinguishing between Fraunhofer and Fresnel diffraction by the Young's experiment[J].Optics Communications,2001,200(1-6):15-22.
[12] AHN S J,MOON P,KIM T H,et al.Dirac electrons in a dodecagonal graphene quasicrystal[J].Science,2018,361(6404):782-786.
[13] XIAO C,FUJITA N,MIYASAKA K,et al.Dodecagonal tiling in mesoporous silica[J].Nature,2012,487(7407):349-353.
基本信息:
中图分类号:O43-4;G642
引用信息:
[1]马雯雯,杜嘉惠,曾召利.多圆孔结构的夫琅禾费衍射和干涉实验研究[J].物理与工程,2025,35(04):153-157.
基金信息:
国家自然科学基金(62405366); 教育部高等学校教学研究项目(DWJZW202216xb); 军队院校物理教育教学研究项目(2023JWL039)
2023-12-21
2023
2025-04-21
2025-05-19
2025
2
2025-08-15
2025-08-15