Spectroscopy of onedimensionally inhomogeneous media with quadratic nonlinearity
Abstract
We present a brief review of the results of fifty years of development efforts in spectroscopy of onedimensionally inhomogeneous media with quadratic nonlinearity. The recent original results obtained by the authors show the fundamental possibility of determining, from experimental data, the coordinate dependences of complex quadratic susceptibility tensor components of a onedimensionally inhomogeneous (along the z axis) medium with an arbitrary frequency dispersion, if the linear dielectric properties of the medium also vary along the z axis and are described by a diagonal tensor of the linear dielectric constant. It is assumed that the medium in question has the form of a planeparallel plate, whose surfaces are perpendicular to the direction of the inhomogeneity. Using the example of several components of the tensors X{sup (2)}(z, {omega}{sub 1} {+} {omega}{sub 2}; {omega}{sub 1}, {+} {omega}{sub 2}), we describe two methods for finding their spatial profiles, which differ in the interaction geometry of plane monochromatic fundamental waves with frequencies {omega}{sub 1} and {omega}{sub 2}. The both methods are based on assessing the intensity of the waves propagating from the plate at the sum or difference frequency and require measurements over a range of angles of incidence of the fundamental waves. Such measurementsmore »
 Authors:
 Publication Date:
 OSTI Identifier:
 22043634
 Resource Type:
 Journal Article
 Resource Relation:
 Journal Name: Quantum Electronics (Woodbury, N.Y.); Journal Volume: 41; Journal Issue: 11; Other Information: Country of input: International Atomic Energy Agency (IAEA)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; AMPLITUDES; COORDINATES; DISPERSIONS; INCIDENCE ANGLE; INTERACTIONS; MONOCHROMATIC RADIATION; NONLINEAR PROBLEMS; ONEDIMENSIONAL CALCULATIONS; PERMITTIVITY; PLATES; SPECTROSCOPY; SURFACES
Citation Formats
Golubkov, A A, and Makarov, Vladimir A. Spectroscopy of onedimensionally inhomogeneous media with quadratic nonlinearity. United States: N. p., 2011.
Web. doi:10.1070/QE2011V041N11ABEH014710.
Golubkov, A A, & Makarov, Vladimir A. Spectroscopy of onedimensionally inhomogeneous media with quadratic nonlinearity. United States. doi:10.1070/QE2011V041N11ABEH014710.
Golubkov, A A, and Makarov, Vladimir A. 2011.
"Spectroscopy of onedimensionally inhomogeneous media with quadratic nonlinearity". United States.
doi:10.1070/QE2011V041N11ABEH014710.
@article{osti_22043634,
title = {Spectroscopy of onedimensionally inhomogeneous media with quadratic nonlinearity},
author = {Golubkov, A A and Makarov, Vladimir A},
abstractNote = {We present a brief review of the results of fifty years of development efforts in spectroscopy of onedimensionally inhomogeneous media with quadratic nonlinearity. The recent original results obtained by the authors show the fundamental possibility of determining, from experimental data, the coordinate dependences of complex quadratic susceptibility tensor components of a onedimensionally inhomogeneous (along the z axis) medium with an arbitrary frequency dispersion, if the linear dielectric properties of the medium also vary along the z axis and are described by a diagonal tensor of the linear dielectric constant. It is assumed that the medium in question has the form of a planeparallel plate, whose surfaces are perpendicular to the direction of the inhomogeneity. Using the example of several components of the tensors X{sup (2)}(z, {omega}{sub 1} {+} {omega}{sub 2}; {omega}{sub 1}, {+} {omega}{sub 2}), we describe two methods for finding their spatial profiles, which differ in the interaction geometry of plane monochromatic fundamental waves with frequencies {omega}{sub 1} and {omega}{sub 2}. The both methods are based on assessing the intensity of the waves propagating from the plate at the sum or difference frequency and require measurements over a range of angles of incidence of the fundamental waves. Such measurements include two series of additional estimates of the intensities of the waves generated under special conditions by using the test and additional reference plates, which eliminates the need for complicated phase measurements of the complex amplitudes of the waves at the sum (difference) frequency.},
doi = {10.1070/QE2011V041N11ABEH014710},
journal = {Quantum Electronics (Woodbury, N.Y.)},
number = 11,
volume = 41,
place = {United States},
year = 2011,
month =
}

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