On Electromagnetic Radiation Associated with the Zero and First Modes of a Droplet Oscillating in an External Electrostatic Field

Abstract—

The article discusses electromagnetic radiation generated by capillary oscillations of zeroth and first modes of a droplet in an external electrostatic field. It is assumed that the droplet is an ideal, incompressible, electrically conductive fluid with a zero net charge and is charged in an external uniform electrostatic field by induced charges of opposite signs. The discussed radiation is detected in analytical asymptotic calculations of second order of magnitude with respect to the dimensionless amplitude of the droplet oscillations in the external electrostatic field. Analytical expressions for the intensity of the electromagnetic radiation associated with the zeroth and first mode oscillations are found as are dependencies of the radiation intensity on the strength of the field, size of the droplet, and surface tension coefficient.