On the nonlocality of the reflection of an electromagnetic wave from a flat surface upon excitation of surface waves

Diffraction phenomena arising due to reflection of a plane electromagnetic wave from a metal film, which are caused by a limited size of the incident beam aperture, are considered in the Kretschmann scheme used to excite a surface plasmon wave. It is shown that the wave reflection occurs nonlocally, that is, the region of the surface on which the wave is incident and the region from which it is reflected do not substantially coincide. The localisation of the maximum field is investigated when a surface plasmon is excited on a silver film. The absolute values of the gain in terms of the amplitude of the field on the free surface of the film are calculated. The proposed theory is applied to explain the Goos–Hänchen effect.