The calculations on motion of electrons in a finite length electromagnetic field of linearly and circularly polarized laser beams have shown that one can use the transversal deflection of electrons on a screen at a certain distance after the interaction region for the measurement of the length and longitudinal particle distribution of femtosecond electron bunches. In this work the construction and preliminary parameters of various parts of a device that may be called femtosecond oscilloscope are considered. The influence of various factors are taken into account. For CO 2 laser intensity 10 ¹⁶ W/cm ² and field free drift length 1m the deflection is 5.3 and 0.06 cm, while the few centimeters long interaction length between 2 mirrors requires assembling accuracy 6 mm and 1.3 micron for 20 MeV and 50 keV, respectively.

Bunches

10.1109/pac.2005.1591322

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ON THE CHERENKOV RADIATION IN A WAVE-GUIDE

E.D. Gazazyan E.M. Laziev

Previously it was shown that the Cherenkov emission spectrum is discreet and is a function of a waveguide parameter. Analyses of a point charge in a charged finite-length filament and in a series of filaments showed that in the case of charged filaments not all frequencies emit from the point charge and that a certain correlation exists between the radius of the waveguide and the length of the filament. It is also shown that a certain interference takes place in the case of filaments stacked one behind the other. (R.V.J.)

Waveguide

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THE STRICT SOLUTION OF A RADIATION PROBLEM IN TOROIDAL CAVITY

M. A. Khojoyan E.D. Gazazyan Armenia T. A. Harutyunyan

The radiation of the charged particles bunch which is moving along the axis of toroidal cavity cross section is considered. The toroidal cavity has a finite value of the quality factor and is filled with special symmetry inhomogeneous dielectric medium. The problem’s solution is based on the complete set of the toroidal cavity’s own modes being defined strictly for the mentioned dielectric medium the cavity is filled with. The charged particles bunch exists in the cavity during a finite time period and the charged bunch’s arising and vanishing effects are examined and are taken into account as well. The toroidal cavity is considered as a convenient model to investigate the electromagnetic properties of the tokamak system, using the defined modes.

Cavity wall

Axial symmetry

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