Young’s Double Slit Simulator – PhyChemBillyLi

Young’s Double Slit Simulator
楊氏雙狹縫模擬器

Billy Sir’s Interactive Physics: Wave Interference & Diffraction.
物理化學 Billy Sir 互動物理:波的干涉與繞射

Interference Pattern 干涉圖樣
Scale: 100mm width (L = 1m) | 比例: 100毫米寬 (L = 1米)
Slit Configuration 狹縫配置
Light Source 光源
Wavelength (λ) 波長 532 nm
Slit Width (a) 狹縫寬度 20 μm
Slit Separation (d) 狹縫間距 100 μm
Camera Exposure 相機曝光 1.5x
The Physics Behind the Pattern | 圖樣背後的物理原理
The total intensity \(I(\theta)\) on the screen is the product of two distinct phenomena: the interference between the two slits, and the diffraction caused by the finite width of each individual slit. 屏幕上的總強度 \(I(\theta)\) 是兩種不同現象的乘積:兩個狹縫之間的干涉,以及由每個狹縫有限寬度引起的繞射
\[ I(\theta) = I_0 \cdot \underbrace{\cos^2\left(\frac{\pi d \sin\theta}{\lambda}\right)}_{\text{Interference}} \cdot \underbrace{\text{sinc}^2\left(\frac{\pi a \sin\theta}{\lambda}\right)}_{\text{Diffraction Envelope}} \]
  • \(d\) is the slit separation distance. | 狹縫間距。
  • \(a\) is the width of a single slit. | 單一狹縫寬度。
  • \(\lambda\) is the wavelength of the light. | 光的波長。
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