When matching electromagnetic waves at a boundary, we have terms like Ae?ax + Beibæ = Ceicx that we want to hold for all values of x. Show that this requires that a) A+B=C and b) a = b = c where these terms are all real-valued constants. [You can get an extra equation by differentiating with respect to x.]

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2. When matching electromagnetic waves at a boundary, we have terms like Ae?az + Be?ba
that we want to hold for all values of x. Show that this requires that a) A+B = C and b) a = b = c
where these terms are all real-valued constants. [You can get an extra equation by differentiating
with respect to x.]
Ceicx
Transcribed Image Text:2. When matching electromagnetic waves at a boundary, we have terms like Ae?az + Be?ba that we want to hold for all values of x. Show that this requires that a) A+B = C and b) a = b = c where these terms are all real-valued constants. [You can get an extra equation by differentiating with respect to x.] Ceicx
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