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When a plane monochromatic electromagnetic wave is incident on the interface between two different media, part of the wave is reflected, and part is transmitted. If the electric vector of the wave lies in the plane of incidence (known as p-polarization or parallel polarization), the boundary conditions at the interface allow us to derive the reflection and transmission amplitude coefficients using Maxwell’s equations. Consider two media with refractive indices (n_1) and (n_2), and let the angle of incidence be (\theta_i), angle of reflection (\theta_r), and angle of transmission (refraction) (\theta_t). By Snell’s law, we have (n_1 \sin \theta_i = n_2 \sin \theta_t). The electric field vector (\mathbf{E}) lies in the plane of incidence, and the __________ ______ ______ ______ _______ ______ _________ _______ _________ _____ ____ __________.
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