А novel approach to the synthesis of the electromagnetic field distribution in a chain of coupled resonators

• Main Author: Ayzatsky, M.I.
• Format: Article
• Language: English
• Published: Національний науковий центр «Харківський фізико-технічний інститут» НАН України 2018
• Series: Вопросы атомной науки и техники
• Subjects: Теория и техника ускорения частиц
• Online Access: http://dspace.nbuv.gov.ua/handle/123456789/147234

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 Riccati equation. Setting the structure of one solution, from the Riccati 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.