Filters

Results

**1**-**10**of**32** Results

**1**-**10**of**32**. Search took:**0.015**secondsSort by: date | relevance |

AbstractAbstract

[en] Arguments from classical physics are used to transform the equation of motion for channeled particles into a second-order ordinary differential equation containing a nonlinear term. The solution of the equation and the oscillation period of the particles are expressed analytically in terms of the Jacobian elliptic functions and the complete elliptic integral of the first kind. Some important properties of the radiation are discussed, and the maximum radiation energy for positrons and the spectral distribution are calculated. A comparison shows a good agreement between experiment and theory

Record Type

Journal Article

Journal

Chinese Physics Lasers; CODEN CPLAE; v. 13(10); p. 701-705

Country of publication

Publication YearPublication Year

Reference NumberReference Number

INIS VolumeINIS Volume

INIS IssueINIS Issue

AbstractAbstract

[en] A new sine-squared potential is introduced and used to calculate the rotational period of quasichanneling particles directly from the equations of motion. The differences between quasichanneling and channeling radiation are discussed, and the contribution of quasichanneling radiation to the total radiation intensity is calculated

Record Type

Journal Article

Journal

Chinese Physics Lasers; CODEN CPLAE; v. 14(4); p. 245-248

Country of publication

Publication YearPublication Year

Reference NumberReference Number

INIS VolumeINIS Volume

INIS IssueINIS Issue

AbstractAbstract

[en] The tan

^{2}x potential is introduced to describe the interaction between a particle and a crystal. In the frame of quantum mechanics, Schroedinger equation is reduced to the hypergeometric equation. The eigenvalues are calculated also. It is shown that the conformity between the theory and the experiment is good. (authors)Primary Subject

Source

1 fig., 16 refs.

Record Type

Journal Article

Journal

Acta Physica Sinica; ISSN 1000-3290; ; v. 54(9); p. 4092-4096

Country of publication

Publication YearPublication Year

Reference NumberReference Number

INIS VolumeINIS Volume

INIS IssueINIS Issue

AbstractAbstract

[en] It is assumed that a periodic modulation is equivalent to the deflected channel of the superlattice. In the small amplitude approximation the particle motion equation has been reduced to the Duffing equation with a hard-spring properties by using Lindhard expanded potential. The main resonance, the sub-harmonic resonance and the super-harmonic resonance have been analysed by the multi-scale technique. The critical parameter of the deflected channelling has been calculated, the results provided a theory analyse for the photo-magneto-electric effects of the superlattice. (authors)

Primary Subject

Source

1 fig., 11 refs.

Record Type

Journal Article

Journal

Nuclear Physics Review; ISSN 1007-4627; ; v. 24(3); p. 238-242

Country of publication

Publication YearPublication Year

Reference NumberReference Number

INIS VolumeINIS Volume

INIS IssueINIS Issue

AbstractAbstract

[en] In this paper the electron axial channeling radiation has been compared with a free electron laser (FEL), and the possibility of reforming this type of radiation as γ-laser has been discussed. Introducing equivalent magnetic field to describe electron's motion, the pendulum equation and energy gain of the electron longitudinal motion have been obtained using interaction of the electron with the radiation field. It shows that the channeling radiation is very similar to FEL, if there exists standing wave field in the crystal

Primary Subject

Record Type

Journal Article

Journal

High Energy Physics and Nuclear Physics; ISSN 0254-3052; ; v. 29(2); p. 205-209

Country of publication

Publication YearPublication Year

Reference NumberReference Number

INIS VolumeINIS Volume

INIS IssueINIS Issue

AbstractAbstract

[en] The particle motion equation has been reduced to the pendulum equation with a δ-moment by using sine-squared potential. The phase planar characteristics have been analysed for a non-perturbed system. The dechanneling effects have been calculated numerically for a perturbed system. The relationship between the dechanneling fraction and superlattice deformation in resonance has been discussed

Record Type

Journal Article

Journal

Nuclear Physics Review; ISSN 1007-4627; ; v. 19(4); p. 407-410

Country of publication

Publication YearPublication Year

Reference NumberReference Number

INIS VolumeINIS Volume

INIS IssueINIS Issue

AbstractAbstract

[en] Damping of channeling radiation and the periodicity of the crystal lattice field are considered. The equation of motion for the particles is simplified to the pendulum equation with weak damping and excitation terms. The chaotic behavior of the system is discussed and the Melnikov function is calculated for several cases. The threshold for chaos is found and possible approaches to chaotic condition are considered

Primary Subject

Record Type

Journal Article

Journal

Chinese Physics Lasers; CODEN CPLAE; v. 14(8); p. 543-546

Country of publication

Publication YearPublication Year

Reference NumberReference Number

INIS VolumeINIS Volume

INIS IssueINIS Issue

AbstractAbstract

[en] In the classical mechanics frame and with a dipole approximation the particle motion equation in the periodic bent crystal is reduced to the general pendulum equation with a damping term and the forced term by using the sine-squared potential. This paper discusses the problem of the sub-harmonic bifurcation of the periodic orbit and the stabilities of the channeling motion by using Melnikov method, so as to derive the critical condition and the dechanneling length of the periodic bent crystal. The results show that channeling motion must be stable in addition that the crystal length is smaller than the dechanneling length in order to ensure higher extracted efficiency. The analysis of the critical condition shows that the system stabilities are related to its parameters. Just by properly regulating the parameters of the system, the dynamic stabilities by the use of periodic bent crystal as beam control cell can be ensured. (authors)

Primary Subject

Source

1 figs., 18 refs.

Record Type

Journal Article

Journal

Nuclear Physics Review; ISSN 1007-4627; ; v. 28(4); p. 454-458

Country of publication

Publication YearPublication Year

Reference NumberReference Number

INIS VolumeINIS Volume

INIS IssueINIS Issue

AbstractAbstract

[en] The maximum energy deflected by a planar channel in a bent crystal with constant curvature is derived. A sine-squared potential has been introduced and the dechanneling fraction has been calculated with a uniform density of states in the phase space. The properties of the phase plane, critical parameters and dechanneling effects for the system in the small amplitude approximation are discussed in detail. (author)

Record Type

Journal Article

Journal

Country of publication

Publication YearPublication Year

Reference NumberReference Number

INIS VolumeINIS Volume

INIS IssueINIS Issue

AbstractAbstract

[en] In the classical mechanics frame and the dipole approximation the particle motion equation in bent crystal is reduced to the pendulum equation with a constant momentum by using the sine-squared potential. The phase planar properties are analysed by means of Jacobian elliptic function and the elliptic integral. The maximum deflected energy, the dechanneling factor and the dechanneled length are derived. The results show that the extracted efficiency is 70% for a proton beam with energy E=1.0 GeV moved in the channel on Si(110) if a radius of curvature R=1 m; and dechanneled length is of the order of μm for the particles with MeV energy; the dechanneled length is above 1 meter for the particle with TeV energy.(authors)

Primary Subject

Source

2 figs., 22 refs.

Record Type

Journal Article

Journal

Nuclear Physics Review; ISSN 1007-4627; ; v. 28(1); p. 63-67

Country of publication

Publication YearPublication Year

Reference NumberReference Number

INIS VolumeINIS Volume

INIS IssueINIS Issue

1 | 2 | 3 | Next |