A general expression for the electric field associated with a monochromatic plane wave is E(r,t) = e:Excos(wt-k-r). Give the numerical values of Eo, w, and k (with units, and direction for vector quantities) for the case where the plane wave has a wavelength of 350 nm in vacuum, the refractive index of the medium is n = 1.46, the electric field lies in the yz plane, and the intensity is 2.0 MW/m². Use time in units of s and distance in units of m.

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A general expression for the electric field associated with a monochromatic plane wave is \(E(\mathbf{r},t) = \mathbf{e} E_0 \cos(\omega t - \mathbf{k} \cdot \mathbf{r})\). 

Give the numerical values of \(E_0\), \(\omega\), and \(\mathbf{k}\) (with units, and direction for vector quantities) for the case where the plane wave has a wavelength of 350 nm in vacuum, the refractive index of the medium is \(n = 1.46\), the electric field lies in the yz plane, and the intensity is 2.0 MW/m\(^2\). 

Use time in units of s and distance in units of m.
Transcribed Image Text:A general expression for the electric field associated with a monochromatic plane wave is \(E(\mathbf{r},t) = \mathbf{e} E_0 \cos(\omega t - \mathbf{k} \cdot \mathbf{r})\). Give the numerical values of \(E_0\), \(\omega\), and \(\mathbf{k}\) (with units, and direction for vector quantities) for the case where the plane wave has a wavelength of 350 nm in vacuum, the refractive index of the medium is \(n = 1.46\), the electric field lies in the yz plane, and the intensity is 2.0 MW/m\(^2\). Use time in units of s and distance in units of m.
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