QuestionOptics / refraction of EM waves
An electromagnetic wave \(\vec{E} = \vec{E}_0 e^{i[k_0(3x+4y)-\omega t]}\) travelling in air is incident on the x – z plane of a glass slab. The glass slab has a refractive index of 1·5. Which one among the following is the correct direction of propagation of the transmitted electromagnetic wave ?
- (a) \(0.4\hat{i} + 0.2\sqrt{21}\,\hat{j}\)
- (b) \(0.4\hat{i} - 0.2\sqrt{21}\,\hat{j}\)
- (c) \(0.4\hat{i} + \sqrt{21}\,\hat{j}\)
- (d) \(0.4\hat{i} - \sqrt{21}\,\hat{j}\)
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