Electromagnetic radiation from an AThyphen;cut quartz plate under lateralhyphen;field excitation

摘要

Equations of linear piezoelectricity (with the quasistatic approximation) for the quartz plate and Maxwellrsquo;s equations for the electromagnetic field in the surrounding vacuum are solved for the thicknesshyphen;shear vibrations of rotatedYcut of quartz plate. For an AThyphen;cut plate vibrating near the thicknesshyphen;shear resonance excited by a uniform, lateral electric field of magnitude 1 V/m, the electromagnetic energy radiated from each face is about 0.13 mgr;W/cm2. The radiated power is about 0.1 mgr;W/cm2if the plate is excited by a shearing face traction which produces a strain of 10minus;5. Present solution is compared in detail with Mindlinrsquo;s lsqb;Int. J. Solids Struct.9, 697 (1972)rsqb; solution of equations of piezoelectromagnetism (without the quasistatic approximation) for the thicknesshyphen;shear vibrations excited by shearing face traction. It is found that the percent difference in radiated powers computed from these two solutions, due to the quasistatic approximation, is in the order of bgr;2(=vcirc;2/ccirc;2), wherevcirc; is the velocity of thex1hyphen;thicknesshyphen;shear wave,ccirc; is the velocity of electromagnetic wave ofE3propagating in thex2direction in quartz, and bgr;ape;10minus;5.