Exploring the Constant Frequency of EM Waves

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Swapnil
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I was wondering, when an EM wave goes from one medium to another why is it that the frequency remains constant?
 
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The perpendicular component of the electric displacement vector D, must be equal at the boundary AT ALL TIMES to preserve continuity - this is only possible if the frequency of the wave on both sides of the boundary is the same.

Claude.
 
Makes sense. Thanks! :cool: