Fraunhoffer Diffraction

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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.
 
What formulas do you know that involve the intensity of the light in a single-slit Fraunhofer diffraction pattern?