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From Poynting vector to EM wave

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After reading Griffiths' book, I find the explanation from poynting vector to sinusodial EM wave pretty blurred.

EM wave has two requirements.
1. E / B = c
2. E and B are sinusodial

How could we ensure the Poynyig vector ultimately will produce the form satisfying the two points mentioned? Or there is other form of field energy transfer? Like non-sinusodial wave?

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