Question

A TEM wave traveling in free space has an electric field given by:

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E =−6e⁻ʲᵏˣ z +12e⁻ʲᵏˣ y
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Write the equation for the electric field of this wave, in the time domain.

Answer 1

The equation for the electric field of the TEM wave in the time domain can be found by taking the inverse Fourier transform of the given expression in the frequency domain.

Step-by-step explanation:

The equation for the electric field of the TEM wave in the time domain can be found by taking the inverse Fourier transform of the given expression in the frequency domain. In the frequency domain, the electric field is represented by:

E(kx, t) = -6e-jkwz) + 12-jky)

By taking the inverse Fourier transform, we can convert this expression to the time domain:

E(x, t) = (1/2π) ∫[E(kx, t) e(jωt)] dω

where ω is the angular frequency.