Interference Maze

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Beam path Detector Constructive Destructive
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Explain simply
Waves add like ripples on water. When peaks meet peaks, they make a bigger peak (bright). When peaks meet troughs, they cancel (dark). Mirrors flip the wave, splitters make two paths, phase shifters slide the ripple forward or back to line things up.
Advanced
We treat the steady-state complex amplitude A at the detector as a sum of paths: A = Σ a_k e^{iφ_k}. Intensity I = |A|^2. A mirror adds π phase (−1). A 50/50 splitter divides amplitude by √2 and adds a relative phase (we use transmitted 0°, reflected +90°). Phase shifter multiplies by e^{iθ}.
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