Single Slit Diffraction and Interference Maxima

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In a single slit diffraction experiment, the conditions for interference maxima and diffraction minima are discussed, highlighting that both are determined by the equation a sinΘ = nλ, where a is the slit width and n is an integer. The conversation clarifies that while the maxima and minima occur at the same distance from the central maximum, they have different equations governing their formation. Specifically, the minima can be expressed as a sinΘ = (2n-1)λ/2 or a sinΘ = (2n-1)λ, depending on the path difference considered. The distinction between single and double slit interference is also noted, with different equations applicable for each scenario. Understanding these principles is crucial for analyzing intensity variations in diffraction patterns.
Das apashanka
In a single slit experiment if the condition of interference maxima be asinΘ=nλ where n=1,2,3,4...
and the condition of diffraction minima is also the same
Will it not cause any effect on the intensity of the interference maxima as both are at a same distance from the central maximum on the screen?
a is the length of the slit
 
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Das apashanka said:
Will it not cause any effect on the intensity of the interference maxima as both are at a same distance from the central maximum on the screen?
I don't understand your question.

Is your question referring to the decreasing intensity of the interference maxima as the distance increases from the center? Could you please be more specific or clear?

By the way, the interference and destruction maxima and minima have different equations for single slit interference. You can find the minima from m, but the maxima from [m+1/2].
 
Actually I want to clarify that for a single slit experiment if ,a be the slit width
Then what will be the condition of interference minima
Is it asinΘ=(2n-1)λ/2 ,n=1,2,3 4...taking path difference between rays from the two edges
Or
asinΘ=(2n-1)λ,n=1,2,3,4...taking path difference between two rays from the centre and from one edge
 
Das apashanka said:
Actually I want to clarify that for a single slit experiment if ,a be the slit width
Then what will be the condition of interference minima
Is it asinΘ=(2n-1)λ/2 ,n=1,2,3 4...taking path difference between rays from the two edges
Or
asinΘ=(2n-1)λ,n=1,2,3,4...taking path difference between two rays from the centre and from one edge

If a is the slit width, θ is the angle of the minima, λ is the wavelength of the light, and n is a value, then this equation will apply for the destruction minima:

a sinθ = nλ

For interference maxima, the following equation applies:

a sinθ = n(λ+1/2)
 
Das apashanka said:
In a single slit experiment if the condition of interference maxima be asinΘ=nλ where n=1,2,3,4...
and the condition of diffraction minima is also the samet

That's the correct expression for diffraction minima where ##a## is the slit width.

The expression for double-slit interference maxima is ##d \sin \theta = n \lambda## where ##d## is the slit separation distance (and ##n## can also equal ##0## for the central maximum).
 

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