IB Physics Topic C.3.3 Diffraction and Interference Patterns Revision Notes (HL)

IB Physics Topic C.3.3 Diffraction and Interference Patterns Revision Notes (HL) | RevisionDojo

Written by official IB examiners

Understanding Single-Slit Diffraction

When light passes through a single narrow slit, it spreads out and forms a diffraction pattern on a screen.
This pattern consists of a central bright fringe flanked by dimmer fringes that are narrower than the central maximum.
This treatment assumes monochromatic light passing through a single rectangular slit at normal incidence.

Note

The central maximum is the brightest and widest part of the pattern, while the intensity of the fringes decreases as you move away from the center.

Mathematical Description of Diffraction

For small angles, with the angle measured in radians, the first minimum in the single-slit pattern is given by the data booklet equation:

$$\theta = \frac{\lambda}{b}$$

where:

$\theta$ is the angle of the first minimum measured from the central axis.
$\lambda$ is the wavelength of the light
$b$ is the width of the slit

This equation shows that the angle of the first minimum depends on the ratio of the wavelength to the slit width.

Tip

Smaller slits or longer wavelengths result in wider diffraction patterns, while larger slits or shorter wavelengths produce narrower patterns.

Intensity Patterns

The intensity of the diffraction pattern is highest at the central maximum and decreases for the secondary maxima.
The first secondary maximum is about 4.5% as bright as the central maximum.

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Understanding Single-Slit Diffraction

When light passes through a single narrow slit, it spreads out and forms a diffraction pattern on a screen.
This pattern consists of a central bright fringe flanked by dimmer fringes that are narrower than the central maximum.
This treatment assumes monochromatic light passing through a single rectangular slit at normal incidence.

Note

The central maximum is the brightest and widest part of the pattern, while the intensity of the fringes decreases as you move away from the center.

Mathematical Description of Diffraction

For small angles, with the angle measured in radians, the first minimum in the single-slit pattern is given by the data booklet equation:

$$\theta = \frac{\lambda}{b}$$

where:

$\theta$ is the angle of the first minimum measured from the central axis.
$\lambda$ is the wavelength of the light
$b$ is the width of the slit

This equation shows that the angle of the first minimum depends on the ratio of the wavelength to the slit width.

Tip

Smaller slits or longer wavelengths result in wider diffraction patterns, while larger slits or shorter wavelengths produce narrower patterns.

Intensity Patterns

The intensity of the diffraction pattern is highest at the central maximum and decreases for the secondary maxima.
The first secondary maximum is about 4.5% as bright as the central maximum.

Definition

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Note

Lorem ipsum dolor sit amet, consectetur adipiscing elit, sed do eiusmod tempor incididunt ut labore et dolore magna aliqua. Ut enim ad minim veniam quis nostrud exercitation.

Excepteur sint occaecat cupidatat non proident

Tip

Lorem ipsum dolor sit amet, consectetur adipiscing elit.
Sed do eiusmod tempor incididunt ut labore et dolore magna aliqua.
Ut enim ad minim veniam, quis nostrud exercitation ullamco laboris.
Duis aute irure dolor in reprehenderit in voluptate velit esse cillum.

Topic A - Space, time and motion5 subtopics

Topic B - The particulate nature of matter5 subtopics

Topic C - Wave behaviour5 subtopics

Topic D - Fields4 subtopics

Topic E - Nuclear and quantum physics5 subtopics

IB Physics C.3.3 Diffraction and Interference Patterns Notes

Topic A - Space, time and motion5 subtopics

Topic B - The particulate nature of matter5 subtopics

Topic C - Wave behaviour5 subtopics

Topic D - Fields4 subtopics

Topic E - Nuclear and quantum physics5 subtopics

Understanding Single-Slit Diffraction

Mathematical Description of Diffraction

Intensity Patterns

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Understanding Single-Slit Diffraction

Mathematical Description of Diffraction

Intensity Patterns

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Duis aute irure dolor in reprehenderit

Excepteur sint occaecat cupidatat non proident

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