Concerning the theory of the optical activity of inhomogeneous media

Optical Gyrotropy from Axion Electrodynamics in Momentum Space

“…However, the expectation that δr ± = 0 has been shown to violate the general reciprocity principle for electromagnetic fields interacting with time-reversal invariant media in equilibrium [31]. The seeming paradox is reconciled by an historically somewhat obscure [32][33][34] (but recently rediscovered [35]) constraint on the nonlocal response functions imposed by time-reversal symmetry in media in which the gyrotropic coefficient varies in space, for example at an interface. While the validity of this constraint is not in question, there has yet to be a derivation of a nonlocal constitutive relation in spatially varying chiral media that is consistent with time-reversal symmetry.…”

The two-dimensional electromagnetic inverse scattering problem for chiral media

“…for the x 3 -components e s , h s , e 0 and h 0 of E s , H s , E 0 , H 0 , respectively. Here = ∂ 2 /∂x 2 1 + ∂ 2 /∂x 2 2 the two-dimensional Laplace operator. The x 1 -and x 2 -components can be expressed in terms of the x 3 -components.…”

Research on Chiral and Bianisotropic Media in Byelorussia and Russia in the Last Ten Years

“…The phenomenological theory of reciprocal bianisotropic media can be based on the following material equations with magneto-electric coupling [4], [6][7][8][9][10][11][12][13][14]:…”

“…Based on the energy conservation law, the Onsager-Casimir principle of kinetic coefficients symmetry and on the crystallographic symmetry, fundamental properties of the material tensors , µ and α were determined [4], [6][7][8][9][10][11][12][13][14]. Possible alternative constitutive relations were analyzed, especially the model based on the concept of spatial dispersion [15][16].…”

“…The relations (1) were introduced and thoroughly analysed in [4], [6][7][8][9][10][11][12][13][14]. The equations (2) were used in [15,16].…”