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The present study deals with total internal reflection of a planeelectromagnetic wave at an infinite plane boundary between a transparent mediumand an amplifying or attenuating lower-index medium. Solutions of Maxwell'sequations are sought with the effect of gain or loss taken into account bymeans of the effective indices of refraction and extinction associated with thereal angles representing the directions of propagation and amplitude change.Analytical expressions are found for the reflection coefficients and therefracted electric and magnetic fields, which describe the amplification orattenuation of the evanescent field resulting from the interaction with thetotally reflecting medium.

Classical treatment of evanescent electromagnetic fields interacting with an amplifying or attenuating medium upon total internal reflection