A V Kozlov et al 2010 J. Phys.: Condens. Matter 22 075401 doi:10.1088/0953-8984/22/7/075401
Waveguide effect under 'antiguiding' conditions in graded anisotropic media
A V Kozlov, V G Mozhaev and A V Zyryanova
Show affiliationsA new wave confinement effect is predicted in graded crystals with a concave slowness surface under conditions of growth of the phase velocity with decreasing distance from the waveguide axis. This finding overturns the common notion about the guiding and 'antiguiding' profiles of wave velocity in inhomogeneous media. The waveguide effect found is elucidated by means of ray analysis and particular exact wave solutions. The exact solution obtained for localized flexural waves in thin plates of graded cubic and tetragonal crystals confirms the predicted effect. Since this solution is substantially different with respect to the existence conditions from all others yet reported, and it cannot be deduced from the previously known results, the predicted waves can be classified as a new type of waveguide mode in graded anisotropic media. Although the concrete calculations are given in the article for acoustic waves, its general predictions are expected to be valid for waves of various natures, including spin, plasma, and optical waves.
- PACS
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62.65.+k Acoustical properties of solids
46.70.De Beams, plates and shells
62.30.+d Mechanical and elastic waves; vibrations
46.40.Cd Mechanical wave propagation (including diffraction, scattering, and dispersion)
- Subjects
- Dates
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Issue 7 (24 February 2010)
Received 11 November 2009, in final form 8 January 2010
Published 29 January 2010
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Waveguide effect under 'antiguiding' conditions in graded anisotropic media
A V Kozlov et al 2010 J. Phys.: Condens. Matter 22 075401
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