| 与方波合成有关的李萨如图形的实验与理论研究 |
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| 引用本文： | 王建波,黄仕华,郑建龙,李炜. 与方波合成有关的李萨如图形的实验与理论研究[J]. 物理实验, 2008, 28(1): 42-45 |
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| 作者姓名： | 王建波 黄仕华 郑建龙 李炜 |
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| 作者单位： | 浙江师范大学,物理系,浙江,金华,321004 |
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| 摘 要： | 通过方波与方波、正弦波与方波合成的图形来研究李萨如图形,利用傅里叶级数理论把方波展开为正弦和余弦形式的傅里叶级数,然后利用Matlab软件来合成2列相互垂直的方波与正弦波以及2列方波的李萨如图形,并与实验上观察到的现象进行比较,并分析了两者之间的差异.
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| 关 键 词： | 方波 正弦波 李萨如图形 傅里叶级数 方波 合成 李萨如 图形 实验 理论研究 wave square Lissajous figures experimental research 差异 分析 比较 现象 软件 Matlab 傅里叶级数 余弦形 正弦波 展开 |
| 文章编号： | 1005-4642（2008）01-0042-04 |
| 收稿时间： | 2007-06-30 |
| 修稿时间： | 2007-09-06 |
Theoretical and experimental research of Lissajous figures of square wave |
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| WANG Jian-bo,HUANG Shi-hua,ZHENG Jian-long,LI Wei. Theoretical and experimental research of Lissajous figures of square wave[J]. Physics Experimentation, 2008, 28(1): 42-45 |
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| Authors: | WANG Jian-bo HUANG Shi-hua ZHENG Jian-long LI Wei |
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| Abstract: | Lissajous figures produced by taking two square waves and taking a sine wave and a square wave are investigated respectively. Using Fourier series theory, the square wave is expanded by sine and cosine Fourier series, and the Lissajous figures are produced by taking a square wave and a sine wave, and two square waves using Matlab. The differences between the theoretical simulations and the experimental results are analyzed, and a simple explanation is also given. |
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| Keywords: | square waves sine waves Lissajous figures Fourier series |
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