How much power is transmitted through a material slab hit by a 10GHz plane wave?

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A 10GHz plane wave strikes an 8mm thick slab with a dielectric constant of 2.5, prompting a discussion on the proportion of incident power transmitted through the material. Participants are encouraged to calculate the amplitude of the transmitted wave and the time-averaged Poynting vector to determine the power transmission. The relevance of the topic to electromagnetic theory, specifically E&M 2, is questioned. A helpful resource is provided, linking to the Fresnel Equations for further insights. The discussion aims to clarify the transmission characteristics of electromagnetic waves through dielectric materials.
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A plane wave at a freq. of 10Ghz falls normally onto a pane slab of material of thickness 8mm. The dieletric constant of athe material is 2.5. Estimate the proportion of incident power transmitted.

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Is this E&M 2?

Find the amplitude for the transmitted wave and then the time averaged pointing vector for the power transmitted.

Does this help?
 
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