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Waves are disturbances that propagate through space and time. Classically, they travelled through a medium, disturbing the particles but not changing their mean position. Electromagnetic waves/particle-waves need no medium; they are disturbances in their respective fields.

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Energy Conservation of waves at a boundary

I don't understand as to why should the amplitude of the transmitted wave be the sum of the incident and the reflected waves. … Also this question at the end might not be connected to the above question but this is something that I have been wondering from the beginning of waves and vibrations course. …
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