2018/10/23 by M. I. Ayzatsky, Ayzatsky, M. I.
Engineering · Physics and Astronomy · #Accelerator Physics (physics.acc-ph) #Classical Physics (physics.class-ph) #Electromagnetic Simulation and Numerical Methods #FOS: Physical sciences #Gyrotron and Vacuum Electronics Research #Microwave and Dielectric Measurement Techniques
paper · pdf · doi:10.48550/arxiv.1810.10382
openalex publication_date 2018/10/23 · openalex created_date 2018/10/26 · openalex updated_date 2026/07/28
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 chain, was developed. We started with the wave equation with boundary conditions and obtained the difference equation without boundary conditions. Boundary conditions were included into the coefficients of the difference equation for the electric field. As the obtained equation connects the field values in different points (in general case, on an infinite set of points), the proposed procedure represents a nonlocal model for field description. Solutions of the difference equation for the electric field were analyzed. It was shown that they coincide with good accuracy with the ones that were obtained by direct summing of relevant series.