skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Self-diffraction of light waves by a local photorefractive grating in a crystal of the symmetry group bar 4-bar 3m in the transverse configuration

Abstract

The exact solution of nonlinear equations describing the symmetric stationary interaction of two light waves of an arbitrary polarisation on a local photorefractive grating in a crystal of the symmetry group 4-bar 3m in the transverse configuration of crystal faces is obtained in the paraxial limit. The polarisation of light waves and efficiency of energy transfer between them are studied as functions of the reduced length of a sample and the intensity ratio of incident waves. (nonlinear optical phenomena)

Authors:
 [1]
+ Show Author Affiliations
  1. Tomsk State University of Control Systems and Radioelectronics, Tomsk (Russian Federation)
Publication Date:
OSTI Identifier:
21466620
Resource Type:
Journal Article
Resource Relation:
Journal Name: Quantum Electronics (Woodbury, N.Y.); Journal Volume: 37; Journal Issue: 2; Other Information: DOI: 10.1070/QE2007v037n02ABEH013349
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; CONFIGURATION; CRYSTALS; DIFFRACTION; EFFICIENCY; ENERGY TRANSFER; EXACT SOLUTIONS; GRATINGS; NONLINEAR PROBLEMS; POLARIZATION; SURFACES; SYMMETRY; SYMMETRY GROUPS; VISIBLE RADIATION; COHERENT SCATTERING; ELECTROMAGNETIC RADIATION; MATHEMATICAL SOLUTIONS; RADIATIONS; SCATTERING

Citation Formats

Litvinov, Rudol'f V. Self-diffraction of light waves by a local photorefractive grating in a crystal of the symmetry group bar 4-bar 3m in the transverse configuration. United States: N. p., 2007. Web. doi:10.1070/QE2007V037N02ABEH013349.
Copy to clipboard
Litvinov, Rudol'f V. Self-diffraction of light waves by a local photorefractive grating in a crystal of the symmetry group bar 4-bar 3m in the transverse configuration. United States. doi:10.1070/QE2007V037N02ABEH013349.
Copy to clipboard
Litvinov, Rudol'f V. Wed . "Self-diffraction of light waves by a local photorefractive grating in a crystal of the symmetry group bar 4-bar 3m in the transverse configuration". United States. doi:10.1070/QE2007V037N02ABEH013349.
Copy to clipboard
@article{osti_21466620,
title = {Self-diffraction of light waves by a local photorefractive grating in a crystal of the symmetry group bar 4-bar 3m in the transverse configuration},
author = {Litvinov, Rudol'f V},
abstractNote = {The exact solution of nonlinear equations describing the symmetric stationary interaction of two light waves of an arbitrary polarisation on a local photorefractive grating in a crystal of the symmetry group 4-bar 3m in the transverse configuration of crystal faces is obtained in the paraxial limit. The polarisation of light waves and efficiency of energy transfer between them are studied as functions of the reduced length of a sample and the intensity ratio of incident waves. (nonlinear optical phenomena)},
doi = {10.1070/QE2007V037N02ABEH013349},
journal = {Quantum Electronics (Woodbury, N.Y.)},
number = 2,
volume = 37,
place = {United States},
year = {Wed Feb 28 00:00:00 EST 2007},
month = {Wed Feb 28 00:00:00 EST 2007}
}
Copy to clipboard
Journal Article:
DOI:  10.1070/QE2007V037N02ABEH013349
Other availability
Find in Google Scholar Find in Google Scholar
Search WorldCat Search WorldCat to find libraries that may hold this journal
Save / Share:
Export Metadata
Save to My Library
You must Sign In or Create an Account in order to save documents to your library.

  • ; - Crystallography Reports
    The mutual transformation of light waves in the case of their simultaneous diffraction from a bulk reflection phase hologram, which was formed in a cubic photorefractive crystal of the 4-bar 3m symmetry class, has been studied. The indicator surfaces of the polarization-optimized values of the relative intensity of the object wave, which make it possible to determine the amplification of this wave for any crystal cut, are constructed. The linear polarization azimuths at which the energy exchange between the light waves reaches a maximum are found numerically for crystals of different cuts.

  • - Quantum Electronics (Woodbury, N.Y.)
    The symmetric two-wave interaction is considered, for small modulation indices of an interference light pattern, on a transmission photorefractive grating with stationary amplitude produced in a crystal of symmetry group 23 in an external alternating electric field. For an arbitrary off-duty ratio of the external field or arbitrary elliptic polarisation of incident light waves, the space-charge field is shown to contain both shifted and unshifted components, while the polarisation state and intensity of a weak light wave change upon the external field switching. The space-charge-field amplitude and the weak-wave intensity gain are analysed as functions of the interaction wavelength, themore » off-duty ratio of the external field, and the photorefractive-grating spacing for the longitudinal and transverse interaction geometry at a wavelength of 633 nm in a Bi{sub 12}TiO{sub 20} crystal. (nonlinear optical phenomena)« less

  • ; ; - Quantum Electronics (Woodbury, N.Y.)
    Stationary four-wave mixing in a shifted photorefractive transmission grating formed in cubic gyrotropic crystals of the 23 symmetry is considered in the case of low contrasts of the original optical interference pattern. Expressions for the transmission and reflection coefficients for the phase conjugation of weak light beams in arbitrarily cut samples are obtained by solving exactly the equations for the coupled waves that include the effects of the natural circular birefringence and the linear birefringence induced by the external field. The conditions for the generation of phase-conjugated waves are determined for the mixing at 633 nm in Bi{sub 12}SiO{sub 20}more » and Bi{sub 12}SiO{sub 20} samples in the case when the grating vector is parallel to the [110] axis and the incident pump waves propagate in the (001) crystal plane and have arbitrary polarisations. (nonlinear optical phenomena)« less

  • ; ; ; ... - Quantum Electronics (Woodbury, N.Y.)
    The maximum and minimum diffraction efficiencies and the effective amplification of a hologram are studied experimentally in a 2.1 mm thick, (1-bar 1-bar 0) cut Bi{sub 12}SiO{sub 20} crystal as functions of the orientation angle formed by the vector of a holographic grating with the crystallographic direction [001]. A comparison is made between the orientation dependences of the polarisation azimuths at which the extrema of the diffraction efficiency and of the effective amplification are achieved. It is shown that the polarisation azimuths of the reading light corresponding to the maximum diffraction efficiency and the maximum effective amplification coincide within themore » orientation angles 0 - 90{sup 0} and 270 - 360{sup 0} and differ by 90{sup 0} in the range 90 - 270{sup 0}. (laser applications and other topics in quantum electronics)« less

  • ; - Journal of Solid State Chemistry
    Single crystals of four homologues in the series n Ba(Nb,Zr)O{sub 3}+3m NbO, with n: m=2:1, 3:1, 4:1, and 5:1, were found in the reduced Ba-Nb-Zr-O system. Single-crystal X-ray diffraction data were collected for all the crystals. For all homologues the space group was found to be P4/mmm. The structures can be described as intergrowths of Ba(Nb,Zr)O{sub 3} perovskite and NbO slabs. The refined cell parameters and compositions of the 2:1, 3:1, and 4:1 homologues are a=4.1768(5) {angstrom} and c=12.269(2) {angstrom} for Ba{sub 2}Nb{sub 4.5(1)}Zr{sub 0.5(1)}O{sub 9}, a=4.1769(5) {angstrom} and c=16.493(3) {angstrom} for Ba{sub 3+{delta}}Nb{sub 4.8(2)-{delta}}Zr{sub 1.2(2) }O{sub 12-{delta}} ({delta}=0.098(4)), andmore » a=4.1747(6) {angstrom} and c= 20.619(4) {angstrom} for Ba{sub 4+{delta}}Nb{sub 5.1(4)-{delta}}Zr{sub 1.9(4) }O{sub 15-{delta}} ({delta}=0.270(9)). The refined cell parameters of the 5:1 homologue are a=4.1727(3) {angstrom} and c=24.804(3) {angstrom}. Zr replaces Nb only in the NbO {sub 6} octahedra found in the perovskite slabs.« less