Reconstruction of the coordinate dependence of the diagonal form of the dielectric permittivity tensor of a one-dimensionally inhomogeneous medium

Determination of the spatial profiles of all components of the quadratic susceptibility tensor $\hat \chi ^{(2)} $ (z, 2ω; ω, ω) of a one-dimensionally inhomogeneous absorbing medium

“…Moreover, (z) = (z) everywhere except for media of the class mm2. In crystals of the which are analogous to (17). Here (k z ) and…”

“…Now, let us consider what kind of spectroscopic information can be obtained from the coefficients of transformation of an s polarized fundamental wave into a p polarized wave of the second harmonic. Such a transformation is described by formulas (11), (12), (15), and (17). On the right hand side of (15), we know the function (z) because the profile of the component (z) = σ 1 (z) in the class 3 can be recon structed by the above described procedure (in the other classes considered, (z) ≡ 0).…”

“…This equation is obtained from equality (39) and the boundary con ditions (40) in exactly the same way as relation (27) was derived from Eqs. (15) and (17) and is given by…”

“…Equations (28) and (29) allow one to uniquely calculate the function H 2 (z) because the linear dielectric properties of the plate are assumed to be known [15][16][17]. Propagation of a wave with magnetic field strength in the plate gives rise to the nonlinear polarization of the medium:…”

“…The linear permittivity of the plate medium can be assumed to be known because the components of the tensors (z, ω) and (z, 2ω), which have a diagonal form in the classes considered, can be determined by the method proposed in [15][16][17] and experimentally implemented for homogeneous media in [18]. There fore, we assume that the function E 1 (z), which is uniquely defined by (11) and (12), is also known.…”