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 L3 are placed in a line. Using the phasor method and phase difference of = , determine the locations of the maxima "θmax" in the interference pattern.
![Diagram showing three coherent red light sources L1, L2, L3 and angle θ in a diffraction setup.](data:image/png;base64,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)
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