Determining the coordinate dependence of some components of the cubic susceptibility tensor {chi}-hat{sub yyyy}{sup (3)}(z, {omega}, -{omega}, {omega}, {omega}) of a one-dimensionally inhomogeneous absorbing plate at an arbitrary frequency dispersion

Journal Article · Wed Dec 29 00:00:00 EST 2010 · Quantum Electronics (Woodbury, N.Y.)

DOI:https://doi.org/10.1070/QE2010V040N11ABEH014343· OSTI ID:21541836

Golubkov, A A ^[1]; Makarov, Vladimir A ^[2]

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1. Department of Physics, Advanced Educational and Scientific Center, M. V. Lomonosov Moscow State University, Moscow (Russian Federation)
2. International Laser Center, M. V. Lomonosov Moscow State University, Moscow (Russian Federation)

The possibility of unique reconstruction of the spatial profile of the cubic nonlinear susceptibility tensor component {chi}-hat{sub yyyy}{sup (3)}(z, {omega}, -{omega}, {omega}, {omega}) of a one-dimensionally inhomogeneous plate whose medium has a symmetry plane m{sub y} perpendicular to its surface is proved for the first time and the unique reconstruction algorithm is proposed. The amplitude complex coefficients of reflection and transmission (measured in some range of angles of incidence) as well as of conversion of an s-polarised plane signal monochromatic wave into two waves propagating on both sides of the plate make it possible to reconstruct the profile. These two waves result from nonlinear interaction of a signal wave with an intense plane wave incident normally on the plate. All the waves under consideration have the same frequency {omega}, and so its variation helps study the frequency dispersion of the cubic nonlinear susceptibility tensor component {chi}-hat{sub yyyy}{sup (3)}(z, {omega}, -{omega}, {omega}, {omega}). For media with additional symmetry axes 2{sub z}, 4{sub z}, 6{sub z}, or {infinity}{sub z} that are perpendicular to the plate surface, the proposed method can be used to reconstruct the profile and to examine the frequency dispersion of about one third of all independent complex components of the tensor {chi}-hat{sup (3)}. (nonlinear-optics phenomena)

• OSTI ID: 21541836
• Journal Information: Quantum Electronics (Woodbury, N.Y.), Vol. 40, Issue 11; Other Information: DOI: 10.1070/QE2010v040n11ABEH014343; ISSN 1063-7818
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ALGORITHMS
DISPERSIONS
INCIDENCE ANGLE
MONOCHROMATIC RADIATION
NONLINEAR OPTICS
NONLINEAR PROBLEMS
OMEGA BARYONS
ONE-DIMENSIONAL CALCULATIONS
PLATES
SIGNALS
SURFACES
TENSORS
WAVE PROPAGATION
BARYONS
ELECTROMAGNETIC RADIATION
ELEMENTARY PARTICLES
FERMIONS
HADRONS
HYPERONS
MATHEMATICAL LOGIC
OPTICS
RADIATIONS
STRANGE PARTICLES