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Optically induced electrostriction modes in a nanoparticle of a uniformly charged electret

The electromagnetic response of a nanoparticle of an ion-doped polymeric elastic insulator, commonly called as an electret, is considered in the continuum model of a uniformly charged elastic sphere. The spectral formulae for the frequency of optically induced spheroidal and torsional shear oscillations driven by bulk force of elastic and dielectric stresses are obtained in analytic form. Particular attention is given to relaxation dielectric mode of the electrostriction response and its stability in the lowest quadrupole mode. The practical usefulness of ultrafine particles of electrets as a biolabels capable of accumulating likely-charged inclusions uniformly dispersed over the spherical volume of an elastic matrix is briefly discussed.