The theory of reflection from a mossbauer mirror. the anisotropic case

The theory of the mirror reflection of Mossbauer radiation for specimens containing Mossbauer nuclei when there is hyperfirie interaction, investigated in 1963 by Bernstein et al is investigated. On the basis of an invariant approach to the optics of anisotropic and gyrotropic media, developed by Fedorov, a general solution is obtained of the boundary value problem in the most general case when the reflecting medium is represented by permittivity and permeability tensors of arbitrary form. The reflection coefficient Is expressed in terms of the natural polarizations of the refracted wave. Detailed calculations of the natural polarizations and the reflection coefficient are made for the case when μ=1 and ε=1+ас с*, and also for ε=1, and μ= 1+ас с*. The need to separate the contributions of the electric and magnetic currents to the generalized permittivity function e when solving the boundary value problems is pointed out. Estimates are given for the difference in the correct expressions for the reflection coefficient from Fresnel's relations in the general case for weakly anisotropic media ($α~10^{4}$)and glancing angles of incidence ($θ~10^{-3}$), and it is found that these differences may reach 10%.