ФРЕНЕлЕВскИЕ И ЁНЕРг ЕтИЧЕскИЕ кОМплЕксН ыЕ АМплИтУДы В ОптИкЕ тО НкИх МЕтАллИЧЕскИх с лОЕВ

Abstract

The Airy summation formulae for the real amplitudes can be written in the two ways: 1) with Fresnel amplitudes, 2) with energy amplitudes. Both ways lead to the same formulae and results. In the case of the reflection and transmission of light through a thin metallic film the Airy summation formulae can be also written in two ways: 1) with Fresnel complex amplitudes, which follow from the boundary conditions, 2) with energy complex amplitudes, which are determined by the Stokes principle of reversibility. The two ways lead to different formulae and results. The author proves that only the energy conception of the complex amplitudes is correct, because it expresses the complete energy balance on both boundaries of a thin metallic film. If we start these calculations from the Fresnel complex amplitudes, then when the light passes from the metal to the dielectric the energy balance does not express the interference intensity. It is from this point of view that Drude's method for the derivation of the formulae for the reflection and transmission of light through a thin film is evaluated, which is correct only for a thin dielectric film (for real amplitudes), but Drude's method fails for a thin metallic film, where the corresponding amplitudes are complex. Drude's method does not take into account the interference intensity on both the boundaries, metal and dielectric.