Nonlinear Correction to Intensity of Dipole Radiation of Uncharged Drop Oscillating in External Electrostatic Field

Abstract

An asymptotic calculation of a dipole electromagnetic radiation of an uncharged conductive drop oscillating with a finite amplitude in an external electrostatic field to within the second order of smallness inclusive on the relation of the amplitude of oscillations to the radius of an initial drop is carried out. It is shown that the first mode of oscillations is excited in the calculation of the second order of smallness. As a result, the centers of the induced charges with different signs will synchronously oscillate, and the drop will radiate electromagnetic waves of dipolar type, forming the nonlinear correction to intensity of dipole radiation of the first order of smallness. An assessment of the intensity of electromagnetic radiation of this correction and of the width of a strip of frequencies depending on the size of a drop and the strength of an external electrostatic field is carried out.