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Electronics and Communication Electromagnetic Field Theory Difficulty: Medium

If $$\overrightarrow E = \left( {{{\hat a}_x} + j{{\hat a}_y}} \right){e^{ikz - j\omega t}}$$ and $$\overrightarrow H = \left( {\frac{k}{{\omega \mu }}} \right)\left( {{{\hat a}_y} + j{{\hat a}_x}} \right){e^{ikz - j\omega t}},$$ the time averaged poynting vector is

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