When Do Poynting Vector and Energy Propagation Differ in Electromagnetic Waves?

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arash1r
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I have a question: when the poynting vector and energy propagation in electromagnetic waves are in the same direction and when are in different direction?
 

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The Poynting vector is the direction of energy flow, I don't see how it could point in the opposite direction. Maybe metamaterials have some strange properties here.
 

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