Fraunhoffer Diffraction

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The discussion focuses on understanding how changes in the width of a slit, the distance to the screen, and the wavelength of light affect the intensity of the central maxima in a single-slit Fraunhofer diffraction pattern. Increasing or decreasing the slit width alters the diffraction pattern's width and intensity. Changing the distance from the slit to the screen influences the spread of the diffraction pattern. Adjusting the wavelength of light affects the pattern's scale and intensity. Participants suggest that exploring the Fourier Transform's scaling rules can provide insights, and they inquire about relevant formulas for these phenomena.
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I need some help in understanding the effect of change in intensity of the central maxima in respect of a single slit illuminated by monochromatic light when:

(a) the width of the slit is increased / decreased

(b) the distance of the screen from the slit is increased / decreased

(c) the wavelength of light is increased / decreased

Thanks.
 
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The Frauhnofer diffraction pattern is the Fourier transform of the aperture. Looking at the scaling rules for the Fourier Transform will answer your questions.
 
Would it be possible to translate the above into simple formulas? Thanks.
 
It depends on what you mean by 'simple'. There's plenty of online information.
 
What formulas do you know that involve the intensity of the light in a single-slit Fraunhofer diffraction pattern?
 
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