Waveguide localization in graded crystals with antiguiding acoustic velocity profile

The waveguide localization effect is predicted in graded crystals with concave slowness surface under conditions of ¿antiguiding¿ growth of the phase velocity of acoustic waves on the waveguide axis. This effect is elucidated by means of ray analysis and particular exact solutions for localized quasishear bulk waves and localized thin-plate flexural waves.