Tuesday, 8 March 2016

visible light - What happens if separation between slits is greater than separation between slits and screen in YDSE experiment?


I was studying Young's double slit experiment (YDSE) in which it was derived that the formula for path difference ($\delta x$) is : $$\delta x = \frac{y \cdot d}{D}$$ Where $y$ is the vertical position of the point where interference occurs, $d$ is the separation between the slits and $D$ is the distance between the slits and the screen.


This formula was derived under the condition that $\lambda << d << D$ (note that $\lambda$ is the wavelength of the light used).


Now my doubt is what happens if $d > D$ ? I had tried searching for answers but couldn't find any.


Thanks !




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