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Diffraction with Huygen's Principle

34. Wave Optics / Diffraction with Huygen's Principle / Problem 2

In an experimental setup, three equally spaced and equal-intensity coherent sources of red light: L₁, L₂, and L₃are placed in a line. Using the phasor method and phase difference of $\delta$ = $\frac{2\pi\cdot d\cdot\sin\left(\theta\right)}{\lambda}$ , determine the locations of the maxima "θ_max" in the interference pattern.

A

$\theta _{\max }=\arcsin \left(\frac{m\lambda }{2d}\right),\ m=0,1,2,\ldots$

B

$\theta _{\max }=\arcsin \left(\frac{m\lambda }{d}\right),\quad m=0,1,2,\ldots$

C

$\theta _{\max }=\arcsin \left(\frac{2m\lambda }{d}\right),\quad m=0,1,2,\ldots$

D

$\theta _{\max }=\arcsin \left(\frac{4m\lambda }{d}\right),\ m=0,1,2,\ldots$

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