Fraunhoffer Diffraction

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Discussion Overview

The discussion focuses on understanding the effects of various parameters on the intensity of the central maxima in a single slit illuminated by monochromatic light, specifically in the context of Fraunhofer diffraction. The parameters include the width of the slit, the distance from the slit to the screen, and the wavelength of light.

Discussion Character

  • Exploratory, Technical explanation, Conceptual clarification

Main Points Raised

  • One participant seeks clarification on how changes in slit width, screen distance, and wavelength affect the intensity of the central maxima.
  • Another participant suggests that the Fraunhofer diffraction pattern can be understood as the Fourier transform of the aperture, implying that scaling rules for the Fourier Transform may provide insights into the questions raised.
  • A request is made for simple formulas to express the relationships discussed.
  • There is a response indicating that the definition of 'simple' is subjective and that there is ample online information available.
  • A further inquiry is made about existing formulas related to the intensity of light in a single-slit Fraunhofer diffraction pattern.

Areas of Agreement / Disagreement

The discussion remains unresolved, with participants expressing different levels of understanding and seeking various forms of information without reaching a consensus on specific formulas or explanations.

Contextual Notes

Participants have not provided specific assumptions or definitions that might limit the discussion, and there are unresolved mathematical steps regarding the relationships between the parameters and intensity.

kihr
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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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