20 research outputs found
A novel approach to the synthesis of the electromagnetic field distribution in a chain of coupled resonators
A novel approach to the synthesis of the electromagnetic field distribution
in a chain of coupled resonators has been developed. This approach is based on
the new matrix form of the solutions of the second-order difference equations.
If a chain of coupled resonators can be described by the second-order
difference equation for amplitudes of expansion of the electromagnetic field,
two linearly independent solutions can be constructed on the basis of the
solutions of nonlinear Riccaty equation. Setting the structure of one solution,
from the Riccaty equation we can find the electrodynamical characteristics of
resonators and coupling holes, at which the desired distribution of amplitudes
is realized. On the base of this approach we considered the problem of
separation of the electromagnetic field into forward and backward components in
the inhomogeneous chain of resonators. It was shown that in the frame of
considered model such separation is not defined uniquely.Comment: 20 pages, 6 figure
Fast code CASCIE (Code for Accelerating Structures -Coupled Integral Equations). Test Results
Results of testing the fast CASCIE (Code for Accelerating Structures -
Coupled Integral Equations) code developed as an analytical-numerical tool for
studying the properties of inhomogeneous structured waveguides are presented.
We have used this code to numerically tune the resonator chain, which is very
similar to the classic 3m SLAC accelerating structure. During testing, we
discovered a problem that, in our opinion, was overlooked in the development of
the accelerating sections, namely the appearance of a constant phase shift when
determining the dimensions of the resonator radii from the characteristics of
homogeneous structures. This issue is particularly relevant in the development
of short accelerating structures.Comment: 11 pages, 1 table, 22 figure