Aus Dem Vorwort Zur 4. Russischen Auflage

Landau, Leya; Lifschitz, E. M.

doi:10.1515/9783112569146-002

Cited by 1 publication

(6 citation statements)

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“…This function, which is well known in the theory of undulator radiation (see, e.g., [17,25]) and in classical diffraction theory [43], defines the profile of the line of the emission in an ideal undulator. It has sharp maxima at the points η = k = 1, 2, 3, .…”

Section: Air Radiation In the Absence Of Dechannellingmentioning

confidence: 99%

“…This inequality allows one to consider the process of photon emission within the framework of classical electrodynamics (e.g. [43]).…”

Section: Air Radiation In the Absence Of Dechannellingmentioning

confidence: 99%

“…In this inequality Z is the atomic number of the crystal atoms. Hence, the radiative losses exceed the losses due to ionizing collisions starting at ≈ 60 MeV in Si, and ≈11 MeV in W. Therefore, an accurate treatment of the equations of motion of the channelled ultra-relativistic positron must account for the effect of radiation damping [46][47][48]-in our scheme by introducing the classical radiative damping force [43].…”

Section: Equations Of Motion In a Periodically Bent Crystal Accountin...mentioning

confidence: 99%

“…The equations of motion for a relativistic particle of mass m and charge e moving in an external static electric field E read as follows [43]:…”

Section: Equations Of Motion In a Periodically Bent Crystal Accountin...mentioning

confidence: 99%

“…The relative energy transfer defines a round scattering angle θ , measured with respect to the instant velocity of the projectile, through (see, e.g., [43])…”

Section: Random Change In the Direction Of Motion Due To Ionizing Col...mentioning

confidence: 99%

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The influence of the dechannelling process on the photon emission by an ultra-relativistic positron channelling in a periodically bent crystal

Korol

Solov’yov

Greiner

2000

J. Phys. G: Nucl. Part. Phys.

108

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We investigate, both analytically and numerically, the influence of the dechannelling process on the parameters of undulator radiation generated by ultra-relativistic positron channelling along a crystal plane, which is periodically bent. The bending might be due either to the propagation of a transverse acoustic wave through the crystal, or due to the static strain as it occurs in superlattices. In either case the periodically bent crystal serves as an undulator which allows the generation of x-ray and γ-radiation. We propose a scheme for the accurate quantitative treatment of the radiation in the presence of dechannelling. The scheme includes: (a) the analytic expression for the spectral-angular distribution which contains, as a parameter, the dechannelling length; (b) the simulation procedure of the dechannelling process of a positron in periodically bent crystals. Using these we calculate the dechannelling lengths of 5 GeV positrons channelling in Si, Ge and W crystals, and the spectral-angular and spectral distributions of the undulator over broad ranges of the photons. The calculations are performed for various parameters of channel bending.

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Section: Air Radiation In the Absence Of Dechannellingmentioning

confidence: 99%

“…This inequality allows one to consider the process of photon emission within the framework of classical electrodynamics (e.g. [43]).…”

Section: Air Radiation In the Absence Of Dechannellingmentioning

confidence: 99%

Section: Equations Of Motion In a Periodically Bent Crystal Accountin...mentioning

confidence: 99%

“…The equations of motion for a relativistic particle of mass m and charge e moving in an external static electric field E read as follows [43]:…”

Section: Equations Of Motion In a Periodically Bent Crystal Accountin...mentioning

confidence: 99%

“…The relative energy transfer defines a round scattering angle θ , measured with respect to the instant velocity of the projectile, through (see, e.g., [43])…”

Section: Random Change In the Direction Of Motion Due To Ionizing Col...mentioning

confidence: 99%

See 3 more Smart Citations