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May 15

# What is the formula calculation for double and single slit diffraction pattern?

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May 15
The formula for calculating the double slit diffraction pattern is given by:

$\theta = \arcsin \left( \frac{m \lambda}{d} \right)$

where:
- $$\theta$$ is the angle of diffraction
- $$m$$ is the order of the diffraction maximum
- $$\lambda$$ is the wavelength of the light
- $$d$$ is the distance between the two slits

The formula for calculating the single slit diffraction pattern is given by:

$\theta = \arcsin \left( \frac{m \lambda}{a} \right)$

where:
- $$\theta$$ is the angle of diffraction
- $$m$$ is the order of the diffraction maximum
- $$\lambda$$ is the wavelength of the light
- $$a$$ is the width of the slit
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May 15
Double Slit Diffraction Pattern

Intensity:


I = I₀ - ( sin²(β)/β² )


where:

- I is the intensity at a point on the screen
- I₀ is the intensity at the center of the pattern
- β = πd sinθ/λ
- d is the distance between the slits
- θ is the angle from the center of the pattern
- λ is the wavelength of light

Single Slit Diffraction Pattern

Intensity:


I = I₀ - ( sin²(α)/α² )


where:

- I is the intensity at a point on the screen
- I₀ is the intensity at the center of the pattern
- α = πw sinθ/λ
- w is the width of the slit
- θ is the angle from the center of the pattern
- λ is the wavelength of light
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