PAC09 - List of Authors (Wojciechowski, M.)

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Wojciechowski, M.

Paper	Title	Page
TH5PFP092	Five Cell Method of Tuning Biperiodic Linear Standing Wave π/2 Accelerating Structures	3423
	E.P. Plawski, S. Kulinski, M. Wojciechowski The Andrzej Soltan Institute for Nuclear Studies, Centre Swierk, Swierk/Otwock
	Funding: Institute for Nuclear Studies, Swierk, Poland The five parameter method of tuning of biperiodic π/2 linear accelerating structure is presented. The method consists in analytical calculation of the five parameters determining the dispersion relation of such structure: two eigen frequencies fa and fc of accelerating and coupling cavities, the first coupling coefficient kac and two second coupling coefficients kaa and kcc, using five measured dispersion frequencies. Usually the process of tuning is based on sets of 3 cavities however, to include directly also the second coupling coeffients kaa and kcc, one should consider sets composed of five cells. For each such set, using the dispersion relation, a set of five equations for five unknowns is solved by successive elimination of unknowns by expressing them in terms of Fa = fa/f π/2. For Fa one obtains biquadratic equation. Coefficients of this equation are expressed as functions of measured quantities: dispersion phases and frequencies. Knowing Fa all other parameters are easily calculated and the Stop Band SB = fa fc . In this way, on each step of building up the structure one can control precision of measurements and the Stop Band.

Paper

Title

Page

TH5PFP092

Five Cell Method of Tuning Biperiodic Linear Standing Wave π/2 Accelerating Structures

3423

E.P. Plawski, S. Kulinski, M. Wojciechowski
The Andrzej Soltan Institute for Nuclear Studies, Centre Swierk, Swierk/Otwock

Funding: Institute for Nuclear Studies, Swierk, Poland

The five parameter method of tuning of biperiodic π/2 linear accelerating structure is presented. The method consists in analytical calculation of the five parameters determining the dispersion relation of such structure: two eigen frequencies fa and fc of accelerating and coupling cavities, the first coupling coefficient kac and two second coupling coefficients kaa and kcc, using five measured dispersion frequencies. Usually the process of tuning is based on sets of 3 cavities however, to include directly also the second coupling coeffients kaa and kcc, one should consider sets composed of five cells. For each such set, using the dispersion relation, a set of five equations for five unknowns is solved by successive elimination of unknowns by expressing them in terms of Fa = fa/f π/2. For Fa one obtains biquadratic equation. Coefficients of this equation are expressed as functions of measured quantities: dispersion phases and frequencies. Knowing Fa all other parameters are easily calculated and the Stop Band SB = fa fc . In this way, on each step of building up the structure one can control precision of measurements and the Stop Band.