On Tamm's problem in the Vavilov-Cherenkov radiation theory

Afanasiev, G. N.; Kartavenko, V. G.; Stepanovsky, Yu. P.

doi:10.1088/0022-3727/32/16/311

Cited by 33 publications

(27 citation statements)

References 18 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The radiation intensity (4.18) disappears for the fixed wavelength, when the acceleration length L = z 2 − z 1 tends to zero. At first glance, this disagrees with the results of [19,20], where it was many times stated that the BS shock waves should arise at the beginning and termination of motion. The following simple consideration resolves this controversy.…”

Section: Pure Decelerated Charge Motioncontrasting

confidence: 84%

“…With the increase of the observation distance r the angular region ∆θ to which the CSW is confined, diminishes, although the transversal extension of CSW ∆L and the length of an arc on the surface of S corresponding to ∆θ remain the same. These questions were considered in detail in [19,20].…”

Section: Necessary Mathematical Formulae and Approximationsmentioning

confidence: 99%

“…Then, for kL a 1 (L a is the length on which a charge moves nonuniformly), the optical and lower frequencies do not contribute to the integral over the accelerated and decelerated parts of the charge trajectory. However, in the time representation, the BS shock waves exist even for the instantaneous jumps of the charge velocity [10,19,20]. This means that for small acceleration lengths L a , the BS shock wave is mainly formed of high frequencies.…”

Section: Superposition Of Uniform and Accelerated Motionsmentioning

confidence: 99%

See 2 more Smart Citations

Numerical and analytical treatment of the smoothed Tamm problem

Afanasiev¹,

Shilov²,

Stepanovsky³

2003

Ann. Phys.

View full text Add to dashboard Cite

We study the motion of an electric charge in a medium over a finite spatial distance. We consider at first the motion described by continuous functions of time, that is, its velocity and all its time derivatives are continuous. If the velocity v of the charge is greater than the velocity cn of light in the medium, then the intensity of the radiation is proportional to the frequency in some angular region and decreases exponentially outside of it. If the motion has no jumps in the velocity but jumps in the acceleration, the exponential decrease changes to a reciprocal one with 1/ω . For a purely decelerated motion, when both the initial and the final velocities are greater than cn , the intensity of the radiation contains a plateau. For practical application, the case with a vanishing final charge velocity is important: the intensity of the radiation is then maximal at the Cherenkov angle θc that corresponds to the initial charge velocity whereas it decreases sharply for θ > θc . For this case, provided the velocity of the charge exceeds cn , the total intensity (obtained by integrating the angular intensity of the radiation over the solid angle) is a linear function of the frequency, even though the Tamm condition is strongly violated.

show abstract

Section: Pure Decelerated Charge Motioncontrasting

confidence: 84%

Section: Necessary Mathematical Formulae and Approximationsmentioning

confidence: 99%

Section: Superposition Of Uniform and Accelerated Motionsmentioning

confidence: 99%

See 1 more Smart Citation

Numerical and analytical treatment of the smoothed Tamm problem

Afanasiev¹,

Shilov²,

Stepanovsky³

2003

Ann. Phys.

View full text Add to dashboard Cite

show abstract

“…Such motion can be represented by a series of N starting and stopping points, schematically in Fig. 3, and mathematically as follows: (12) where the calculation of each velocity vector β * m , time t m , and distance R m to the observer is a matter of simple geometry. While the 1/R m term can be assumed constant, R m also changes the relative phase-factors between emission at different endpoints.…”

Section: A Synchrotron Radiationmentioning

confidence: 99%

General description of electromagnetic radiation processes based on instantaneous charge acceleration in “endpoints”

et al. 2011

View full text Add to dashboard Cite

We present a new methodology for calculating the electromagnetic radiation from accelerated charged particles. Our formulation -the 'endpoint formulation' -combines numerous results developed in the literature in relation to radiation arising from particle acceleration using a complete, and completely general, treatment. We do this by describing particle motion via a series of discrete, instantaneous acceleration events, or 'endpoints', with each such event being treated as a source of emission. This method implicitly allows for particle creation/destruction, and is suited to direct numerical implementation in either the time-or frequency-domains. In this paper, we demonstrate the complete generality of our method for calculating the radiated field from charged particle acceleration, and show how it reduces to the classical named radiation processes such as synchrotron, Tamm's description of Vavilov-Cherenkov, and transition radiation under appropriate limits. Using this formulation, we are immediately able to answer outstanding questions regarding the phenomenology of radio emission from ultra-high-energy particle interactions in both the Earth's atmosphere and the Moon. In particular, our formulation makes it apparent that the dominant emission component of the Askaryan Effect (coherent radio-wave radiation from high-energy particle cascades in dense media) comes from coherent 'bremsstrahlung' from particle acceleration, rather than coherent Vavilov-Cherenkov radiation.

show abstract

“…For an extended discussion of how shocks are viewed by an observer, I suggest Refs. [48] and [49], with Ref. [51] quantitatively analyzing the effects of different near-and far-field regimes.…”

Section: Askaryan Radiationmentioning

confidence: 99%

On the nature of radio-wave radiation from particle cascades

James

2022

Preprint

View full text Add to dashboard Cite

The nature of the radio-wave radiation generated by particle cascades in both the Earth's atmosphere and dense media such as ice has, historically, been much debated. This situation changed in the early 2010's, with the community converging on the common terminology of "geomagnetic" and "Askaryan" radiation to describe the two emission mechanisms. However, this convergence arose from discussions at various conferences and workshops, and was ultimately reached through agreement between simulation codes and experimental measurements. In this article therefore, I use relatively simple geometrical arguments, and a minimum of calculations based on single particle tracks, to explain the nature of radiation from extensive air showers (EAS) and cascades in dense media such as ice. I identify well-determined frequency regimes where the radiation from the Askaryan effect will be bremsstrahlung-like and Cherenkov-like, being respectively below/above 1 GHz in EAS and 100 MHz in dense media; and where geomagnetic emission will be transversecurrent-like and where it will resemble synchrotron radiation, respectively below/above a few GHz in EAS, depending on the height of cascade development. I suggest how these transitions in the nature of the emission may be experimentally observed.

show abstract

On Tamm's problem in the Vavilov-Cherenkov radiation theory

Cited by 33 publications

References 18 publications

Numerical and analytical treatment of the smoothed Tamm problem

Numerical and analytical treatment of the smoothed Tamm problem

General description of electromagnetic radiation processes based on instantaneous charge acceleration in “endpoints”

On the nature of radio-wave radiation from particle cascades

Contact Info

Product

Resources

About