Reconstruction of the Coordinate Dependences of Quadratic
Susceptibility Tensor (z, _{1 2}; ₁, ₂) Components
for the One-Dimensionally Inhomogeneous Absorbing Medium

A. A. Golubkov^a and V. A. Makarov^b, *

^a Chair of Physics, Advanaced Education and Science Center, Moscow State University,
Kremenchugskaya ul. 11, Moscow, 121357 Russia

^b Faculty of Physics and International Laser Center, Moscow State University, Moscow, 119991 Russia

*e-mail: vamakarov@phys.msu.ru

Received June 17, 2011; in final form, June 21, 2011

Abstract—A method for the unambiguous reconstruction of the spatial profiles of all components (except for
_zzz) of the quadratic susceptibility complex tensor (z, ₁ +₂; ₁, ₂), which is responsible for the sum-
frequency generation in a one-dimensionally inhomogeneous plate is proposed and proven for the first time.
Such reconstruction is possible if the symmetry of the medium provides the diagonal character of the linear per-
mittivity tensor (z, ). The procedure involves the measurement of the complex amplitude of the new wave
with the frequency ₁ + ₂ that is reflected from the plate for a certain interval of the angles of incidence of the
wave with the frequency ₂. The reflected wave results from the nonlinear interaction of the wave with fre-
quency ₂ and the wave with frequency ₁ that exhibits the normal incidence. A similar approach can be used
to determine the profiles of the components of the quadratic susceptibility tensor (z, ₁ –₂; ₁, –₂),
which is responsible for the difference-frequency generation.

DOI: 10.1134/S1054660X11240017

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