Hertzian Dipole Radiation via the Weizsacker-Williams Model
We use the Weizsacker-Williams method to deduce the radiated power, and its angular distribution, emitted by an electron of charge that undergoes simple harmonic motion.
quant-ph↗
arXiv subjects
Max S. Zolotorev
Publications and source records attributed to Max S. Zolotorev.
Classical Radiation Processes in the Weizsacker-Williams Approximation
The main features of radiation by relativistic electrons are well approximated in the Weizsacker-Williams method of virtual quanta. This method is best known for its application to radiation during elementary particle collisions, but is equally useful in describing "classical" radiation emitted during the interaction of a single relativistic electron with an extended system, such as synchrotron radiation, undulator radiation, transition radiation and Cerenkov radiation.
physics.class-ph↗
Diffraction as a Consequence of Faraday's Law
We consider a linearly polarized electromagnetic wave incident on an opaque screen with square aperture of edge a. An application of Faraday's law to a loop parallel to the screen, on the side away from the source, shows that the wave must have longitudinal components there. The ratio of the longitudinal to transverse field is a measure of the diffraction angle.
physics.optics↗
A bounded source cannot emit a unipolar electromagnetic wave
We show that a bounded source cannot produce a unipolar electromagnetic pulse. As a consequence, there are no three-dimensional electromagnetic solitons in vacuum.
physics.class-ph↗
Time-Reversed Diffraction
We show that a time-reversed formulation of Huygens-Kirchhoff diffraction can be used to deduce the transverse and longitudinal fields of a Gaussian laser beam, starting from a simple assumption of a Gaussian beam profile in the far field. An attempt to apply this technique to the far fields of a Hertzian dipole shows how the laws of diffraction do not permit a wave to be focused to a volume smaller than a cubic wavelength in a charge-free region.
physics.optics↗
Energy Balance in an Electrostatic Accelerator
The principle of an electrostatic accelerator is that when a charge e escapes from a conducting plane that supports a uniform electric field of strength E_0, then the charge gains energy e E_0 d as it moves distance d from the plane. Where does this energy come from? We that the mechanical energy gain of the electron is balanced by the decrease in the electrostatic field energy of the system.
physics.acc-ph↗