Single Slit Diffraction Intensity

Under the Fraunhofer conditions, the wave arrives at the single slit as a plane wave. Divided into segments, each of which can be regarded as a point source, the amplitudes of the segments will have a constant phase displacement from each other, and will form segments of a circular arc when added as vectors. The resulting relative intensity will depend upon the total phase displacement δ according to the relationship:

Index

Diffraction concepts

Fraunhofer diffraction

Fraunhofer intensity concepts

Reference
Meyer-Arendt
Ed 4, Ch 14.
 
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Single Slit Amplitude Construction

Under the Fraunhofer conditions, the wave arrives at the single slit as a plane wave. Divided into segments, each of which can be regarded as a point source, the amplitudes of the segments will have a constant phase displacement from each other, and will form segments of a circular arc when added as vectors. In this way, the single slit intensity can be constructed.

More detail on amplitude addition
Peak intensities
Index

Diffraction concepts

Fraunhofer diffraction

Fraunhofer intensity concepts

Reference
Meyer-Arendt
Ed 4, Ch 14.
 
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Graphical Amplitudes: Single Slit

Under the Fraunhofer conditions, the wave arrives at the single slit as a plane wave. Divided into segments, each of which can be regarded as a point source, the amplitudes of the segments will have a constant phase displacement from each other, and will form segments of a circular arc when added as vectors. In this way, the single slit intensity can be constructed.

Setup for amplitude addition, single slit
Peak intensities
Index

Diffraction concepts

Fraunhofer diffraction

Fraunhofer intensity concepts

Reference
Meyer-Arendt
Ed 4, Ch 14.
 
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Single Slit Peak Intensities

Under the Fraunhofer conditions, the wave arrives at the single slit as a plane wave. Divided into segments, each of which can be regarded as a point source, the amplitudes of the segments will have a constant phase displacement from each other, and will form segments of a circular arc when added as vectors. In this way, the single slit intensity can be constructed.

Setup for amplitude addition, single slit
Index

Diffraction concepts

Fraunhofer diffraction

Fraunhofer intensity concepts

Reference
Meyer-Arendt
Ed 4, Ch 14.
 
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