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FINITE AMPLITUDE ACOUSTIC WAVES IN DIELECTRIC CRYSTALS
A PROPOSED SCHEME FOR TRAVELING WAVE ACOUSTIC PARAMETRIC
TIE NONLINEAR INTERACTION OF MICROWAVE ELECTRIC FIELDS
2 other sections not shown
acoustic harmonics acoustic parametric acoustic propagation acoustic resonance acoustic waves amplitude analysis attenuation backward wave behavior boundary conditions Bragg angle Bragg diffraction carrier modes cavity convolution coupled mode equations crystal curves described dielectric discussed distortion drifting carriers electric field energy equations of motion Experimental results exponentially fast shear forward and backward fundamental frequency harmonic content input LiNbO linear longitudinal wave modified elastic constant modulation nonlinear interaction observed obtained occur order elastic constants oscillation threshold parametric interaction phase matching phase matching conditions piezoelectric semiconductors polarization predicted propagation constants pump field pump frequency pump power pump pulse reflection coefficients resonant sample second harmonic Section shear wave shown in Fig signal and idler solution spatial standing wave static field strain stress free surface theoretical third-order elastic constants transducer traveling wave up-conversion processes velocity wave propagation waveform X-axis Z-axis of quartz