# Probability of radiation of twisted photons by classical currents

@article{Bogdanov2018ProbabilityOR, title={Probability of radiation of twisted photons by classical currents}, author={O. V. Bogdanov and P. O. Kazinski and G. Yu. Lazarenko}, journal={Physical Review A}, year={2018}, volume={97}, pages={033837} }

The general formula for the probability of radiation of a twisted photon by a classical current is derived. The general theory of generation of twisted photons by undulators is developed. It is proved that the probability to record a twisted photon produced by a classical current is equal to the average number of twisted photons in a given state. The general formula for the projection of the total angular momentum of twisted photons with given the energy, the longitudinal projection of momentum…

## 22 Citations

Semiclassical probability of radiation of twisted photons in the ultrarelativistic limit

- PhysicsPhysical Review D
- 2019

The semiclassical general formula for the probability of radiation of twisted photons by ultrarelativistic scalar and Dirac particles moving in the electromagnetic field of a general form is derived.…

Radiation of Twisted Photons in Elliptic Undulators

- Physics
- 2021

The explicit expressions for the average number of twisted photons radiated by a charged particle in an elliptical undulator in the classical approximation as well as in the approach accounting for…

Probability of radiation of twisted photons by axially symmetric bunches of particles

- PhysicsThe European Physical Journal Plus
- 2019

Abstract.In most cases, the twisted photons generated directly by charged particles in undulators and laser waves are produced by bunches of particles and not by one charged particle. However, up to…

Probability of radiation of twisted photons in an inhomogeneous isotropic dispersive medium

- PhysicsPhysical Review A
- 2019

The general formula for probability to record a twisted photon produced by a charged particle moving in an inhomogeneous isotropic dispersive medium is derived. The explicit formulas for probability…

Generation of twisted photons by undulators filled with dispersive medium

- Physics
- 2020

The radiation of twisted photons by undulators filled with a homogeneous dielectric dispersive medium is considered. The general formulas for the average number of radiated twisted photons are…

Effect of the electron motion on the Compton scattering of a twisted photon

- Physics
- 2020

We present theoretical and numerical results on the Compton scattering of a twisted Bessel photon by a plane-wave electron with an arbitrary initial velocity. Scattering of a photon prepared in a…

Planar wiggler as a tool for generating hard twisted photons

- PhysicsJournal of Instrumentation
- 2020

Simple formulas for the probability of radiation of twisted photons by scalar and Dirac particles with quantum recoil taken into account are derived. We show that the quantum recoil does not spoil…

Scattering of plane-wave and twisted photons by helical media

- Physics
- 2022

By using quantum electrodynamics in a dispersive medium, we describe scattering of plane-wave and twisted photons by a slab made of a helical medium, the helix axis being normal to the slab plane and…

## References

SHOWING 1-10 OF 96 REFERENCES

Radiation from relativistic electrons in a magnetic wiggler

- Physics
- 1979

The spectral and polarization properties of wiggler radiation of relativistic electrons have been investigated theoretically and experimentally as a function of angle in the optical region of the…

Compton scattering of twisted light: angular distribution and polarization of scattered photons

- Physics
- 2015

Compton scattering of twisted photons is investigated within a non-relativistic framework using first-order perturbation theory. We formulate the problem in the density matrix theory, which enables…

THEORY OF SPONTANEOUS RADIATION BY BOSONS IN QUASI-CLASSICAL TRAJECTORY-COHERENT APPROXIMATION

- Physics
- 1994

The first order quantum correction is obtained for the characteristics of spontaneous radiation as a functional of a classical trajectory by means of quasi-classical trajectory–coherent states method…

Colliding particles carrying nonzero orbital angular momentum

- Physics
- 2011

Photons carrying nonzero orbital angular momentum (twisted photons) are well-known in optics. Recently, using Compton backscattering to boost optical twisted photons to high energies was suggested.…

Theory of spontaneous radiation by electrons in a trajectory-coherent approximation

- Physics
- 1993

The first-order quantum correction for the characterization of spontaneous radiation is calculated by means of electron quasi-classical trajectory-coherent states in an arbitrary electromagnetic…

Generation of high-energy photons with large orbital angular momentum by compton backscattering.

- PhysicsPhysical review letters
- 2011

It is shown that it is possible to produce high-energy twisted photons by Compton backscattering of twisted laser photons off ultrarelativistic electrons by exploiting the photoeffect and pair production off nuclei in previously unexplored experimental regimes.

On Generation of Photons Carrying Orbital Angular Momentum in the Helical Undulator

- Physics
- 2011

We analyze properties of electromagnetic radiation in helical undulators with a particular emphasis on the orbital angular m omentum of the radiated photons. We demonstrate that all harmonics higher…

Photon wave function: A covariant formulation and equivalence with QED

- Physics
- 2008

We discuss the limits of the photon wavefunction (PWF) formalism, which is experiencing a revival in these days from the new practical applications in photonics and quantum optics. We build a…