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For a wave characterized by Eox cos(w.t-k-z) V E(z,t) = Egy cos (w.t-k-z) m 0 a) plot E₁ (z, t) vs Ex(z, t) for one period at z=0. What type of polarization is this wave? b) plot E₁ (z, t) vs Ex(z, t) for one period at z=0. What type of polarization is this wave?

For a wave characterized by Eox cos(w.t-k-z) V E(z,t) = Egy cos (w.t-k-z) m 0 a) plot E₁ (z, t) vs Ex(z, t) for one period at z=0. What type of polarization is this wave? b) plot E₁ (z, t) vs Ex(z, t) for one period at z=0. What type of polarization is this wave?

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For a wave characterized by \[ E(z, t) = \begin{bmatrix} E_{0x} \cdot \cos(\omega \cdot t - k \cdot z) \\ E_{0y} \cdot \cos(\omega \cdot t - k \cdot z) \\ 0 \end{bmatrix} \cdot \frac{V}{m} \] \(\omega = 10^8 \, \frac{rad}{s}\) \(k = 0.5 \, \frac{rad}{m}\) \(E_{0x} = 5\) \(E_{0y} = 5\) \(E_{0x} = 5\) \(E_{0y} = -4\) a) Plot \(E_y(z, t)\) vs \(E_x(z, t)\) for one period at \(z = 0\). What type of polarization is this wave? b) Plot \(E_y(z, t)\) vs \(E_x(z, t)\) for one period at \(z = 0\). What type of polarization is this wave?
Transcribed Image Text:For a wave characterized by \[ E(z, t) = \begin{bmatrix} E_{0x} \cdot \cos(\omega \cdot t - k \cdot z) \\ E_{0y} \cdot \cos(\omega \cdot t - k \cdot z) \\ 0 \end{bmatrix} \cdot \frac{V}{m} \] \(\omega = 10^8 \, \frac{rad}{s}\) \(k = 0.5 \, \frac{rad}{m}\) \(E_{0x} = 5\) \(E_{0y} = 5\) \(E_{0x} = 5\) \(E_{0y} = -4\) a) Plot \(E_y(z, t)\) vs \(E_x(z, t)\) for one period at \(z = 0\). What type of polarization is this wave? b) Plot \(E_y(z, t)\) vs \(E_x(z, t)\) for one period at \(z = 0\). What type of polarization is this wave?
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Step 1: Determine the given data:

straight E subscript straight x left parenthesis straight z comma straight t right parenthesis equals straight E subscript 0 straight x end subscript cos left parenthesis straight omega straight t minus kz right parenthesis straight E subscript straight y left parenthesis straight z comma straight t right parenthesis equals straight E subscript 0 straight y end subscript cos left parenthesis straight omega straight t minus kz right parenthesis straight E subscript ox equals 5 space comma space straight E subscript 0 straight y end subscript equals 5 straight E subscript ox equals 5 space comma space straight E subscript 0 straight y end subscript equals negative 4 straight omega equals 10 to the power of 8 space rad divided by straight s comma space straight k equals 0.5 space rad divided by straight m

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