5 citations · 35 across the 32 of their papers we have counts for
32 papers
Description of electromagnetic fields in inhomogeneous accelerating sections. IV couplers
M. I. Ayzatsky
A new approach to incorporating coupling elements into a generalized coupled mode theory is presented. The simplest model of coupling of a structured waveguide with an external RF…
Description of electromagnetic fields in inhomogeneous accelerating sections. III Beam loading
M. I. Ayzatsky
A self-consistent semi-analytical theory of beam loading in inhomogeneous accelerating structures based on the generalized theory of coupled modes is proposed. A single-mode approx…
Coupled integral equations method with open boundary conditions for calculation the characteristics of structured waveguides
M. I. Ayzatsky
The results of modification of the CASCIE code aimed at implementing open boundary conditions are presented. The accelerator section developed at CERN was chosen as a prototype for…
Facility based on electron linac LUE-40 -- current state and main research directions
M. I. Ayzatsky, V. M Boriskin, I. O. Chertishchev +12
The paper describes the state of the installation based on the linear accelerator LUE-40 after restoration in 2023. Additional devices have been developed and created to conduct nu…
Generation of a reflected wave in an inhomogeneous medium
M. I. Ayzatsky
In this work we present the results of calculation of the electric field distribution in the inhomogeneous media based on the generalized WKB method. In this approach the field is…
Description of electromagnetic fields in inhomogeneous accelerating sections. II Fields in the regular part
M. I. Ayzatsky
In this work we present the results of calculation of the electric field distribution in the inhomogeneous accelerating section on the base of generalized coupled modes theory. It…
Description of electromagnetic fields in inhomogeneous accelerating sections. I Field representation
M. I. Ayzatsky
In this work we present the results of a study of the possibility of using a homogeneous basis and a new generalization of coupled modes theory to describe inhomogeneous accelerati…
Representation of wave fields in a graded multilayer medium
M. I. Ayzatsky
In this work we present a new approach in representation of wave fields in nonuniform 1-D multilayer medium. This approach is based on the use of a modified homogeneous basis. A ne…
Representation of fields in inhomogeneous structured waveguides
M. I. Ayzatsky
In this work we present the results of a study of the possibility of using a homogeneous basis and a new generalization of coupled modes theory to describe non-periodic structured…
Coupled-mode theory for non-periodic structured waveguides
M. I. Ayzatsky
In this work a new generalization of the theory of coupled modes for non-periodic structured waveguide is presented. Based on a set of eigen waves of a homogeneous periodic wavegui…
WKB approach for structured waveguides
M. I. Ayzatsky
The results of the development of an approximate approach, which can be considered as an analogue of the WKB method, are presented. This approach gives possibility to divide the el…
Fast code CASCIE (Code for Accelerating Structures -Coupled Integral Equations). Test Results
M. I. Ayzatsky
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 inh…
Coupled Cavity Model: Correctness and Limitations
M. I. Ayzatsky
Results of analysis of correctness and limitations of the classical Coupled Cavity Model are presented in the paper. It is shown that in the case of an infinite chain of resonators…
Modification of coupled integral equations method for calculation the accelerating structure characteristics
M. I. Ayzatsky
Modification of coupled integral equations method (CIEM) for calculating the characteristics of the accelerating structures is presented in this paper. In earlier developed CIEM sc…
Inhomogeneous Travelling-Wave Accelerating Sections and WKB Approach
M. I. Ayzatsky
The paper presents the results of a study of the possibility of using the WKB approach to describe Inhomogeneous Travelling-Wave Accelerating Sections (ITWAS). This possibility not…
Modelling of Inhomogeneous Disk-Loaded Waveguides: Matrix Difference Equations and WKB Approximation
M. I. Ayzatsky
A new approach to the description of inhomogeneous disk-loaded waveguides (chains of coupled resonators) is proposed. New matrix difference equations based on the technique of coup…
Nonlocal Equations for the Electromagnetic field in the Coupled Cavity Model
M. I. Ayzatsky
The procedure for obtaining a difference equation, the solution of which is the components of the electric (or magnetic) field at the chosen set of volume points of the resonator c…
Transformation of the linear difference equation into a system of the first order difference equations
M. I. Ayzatsky
The transformation of the Nth- order linear difference equation into a system of the first order difference equations is presented. The proposed transformation gives possibility to…
A note on the WKB solutions of difference equations
M. I. Ayzatsky
Comparison of approximate solutions that were obtained by using different asymptotic methods of solutions of difference equations with the exact solution is presented. Results show…
A note on the transformation of the linear differential equation into a system of the first order equations
M. I. Ayzatsky
A generalization of the already studied transformations of the linear differential equation into a system of the first order equations is given. The proposed transformation gives p…
Analysis of the non-stationary model of coupled oscillators with inductive coupling
M. I. Ayzatsky, K. Yu. Kramarenko
The model of coupled oscillators plays an important role in modern physics. It is used for description of various processes: from vibrations atoms in solid states to electromagneti…
A novel approach to the synthesis of the electromagnetic field distribution in a chain of coupled resonators
M. I. Ayzatsky
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 th…
On the matrix form of second-order linear difference equations
M. I. Ayzatsky
Results of research of possibility of transformation of a difference equation into a system of the first-order difference equation are presented. In contrast to the method used pre…
Coupling cavity model for circular cylindrical waveguide with uniform cross section
M. I. Ayzatsky, V. V. Mytrochenko
We developed the general approach that gives possibility to calculate the coupling coefficients for arbitrary chain of resonators without using the great number of eigen functions.…