title: Ð Ð°Ð·ÑÐ°Ð±Ð¾ÑÐºÐ° Ð¿ÑÐ¾Ð³ÑÐ°Ð¼Ð¼Ñ Ð´Ð»Ñ Ð²ÑÑÐ¸ÑÐ»ÐµÐ½Ð¸Ñ Ð¼Ð¾Ð´ ÑÐ»ÐµÐºÑÑÐ¾Ð¼Ð°Ð³Ð½Ð¸ÑÐ½Ð¾Ð³Ð¾ Ð¿Ð¾Ð»Ñ Ð² ÑÐµÐ·Ð¾Ð½Ð°ÑÐ¾ÑÐµ
title: Ð²ÑÐ¿ÑÑÐºÐ½Ð°Ñ ÐºÐ²Ð°Ð»Ð¸ÑÐ¸ÐºÐ°ÑÐ¸Ð¾Ð½Ð½Ð°Ñ ÑÐ°Ð±Ð¾ÑÐ° Ð±Ð°ÐºÐ°Ð»Ð°Ð²ÑÐ°
titleType: Subtitle
title: Development of a program for calculating the modes of the electromagnetic field in the resonator
Creators: name: ÐÐ°Ð´ÑÑÐ¾Ð², ÐÐ°Ð¼Ð¸Ð»Ñ
Publisher: name: Ð¡Ð°Ð½ÐºÑ-ÐÐµÑÐµÑÐ±ÑÑÐ³ÑÐºÐ¸Ð¹ Ð¿Ð¾Ð»Ð¸ÑÐµÑÐ½Ð¸ÑÐµÑÐºÐ¸Ð¹ ÑÐ½Ð¸Ð²ÐµÑÑÐ¸ÑÐµÑ ÐÐµÑÑÐ° ÐÐµÐ»Ð¸ÐºÐ¾Ð³Ð¾
Year: 2021
Subjects: ÑÐ°Ð·Ð½Ð¾ÑÑÐ½Ð°Ñ ÑÑ ÐµÐ¼Ð°
Ð³ÑÐ°Ð½Ð¸ÑÐ½ÑÐµ ÑÑÐ»Ð¾Ð²Ð¸Ñ
ÑÐ¸ÑÐ»ÐµÐ½Ð½ÑÐµ Ð¼ÐµÑÐ¾Ð´Ñ
Ð°Ð¿Ð¿ÑÐ¾ÐºÑÐ¸Ð¼Ð°ÑÐ¸Ñ
ÑÐ¾Ð±ÑÑÐ²ÐµÐ½Ð½ÑÐµ Ð·Ð½Ð°ÑÐµÐ½Ð¸Ñ
ÑÐ¾Ð±ÑÑÐ²ÐµÐ½Ð½ÑÐµ Ð²ÐµÐºÑÐ¾ÑÑ
difference scheme
boundary conditions
numerical methods
approximation
eigenvalues
eigenvectors

description: Ð¢ÐµÐ¼Ð° Ð²ÑÐ¿ÑÑÐºÐ½Ð¾Ð¹ ÐºÐ²Ð°Ð»Ð¸ÑÐ¸ÐºÐ°ÑÐ¸Ð¾Ð½Ð½Ð¾Ð¹ ÑÐ°Ð±Ð¾ÑÑ: Â«Ð Ð°Ð·ÑÐ°Ð±Ð¾ÑÐºÐ° Ð¿ÑÐ¾Ð³ÑÐ°Ð¼Ð¼Ñ Ð´Ð»Ñ Ð²ÑÑÐ¸ÑÐ»ÐµÐ½Ð¸Ñ Ð¼Ð¾Ð´ ÑÐ»ÐµÐºÑÑÐ¾Ð¼Ð°Ð³Ð½Ð¸ÑÐ½Ð¾Ð³Ð¾ Ð¿Ð¾Ð»Ñ Ð² ÑÐµÐ·Ð¾Ð½Ð°ÑÐ¾ÑÐµÂ». ÐÐ°Ð½Ð½Ð°Ñ ÑÐ°Ð±Ð¾ÑÐ° Ð¿Ð¾ÑÐ²ÑÑÐµÐ½Ð° ÑÐ°Ð·ÑÐ°Ð±Ð¾ÑÐºÐµ Ð¿ÑÐ¾Ð³ÑÐ°Ð¼Ð¼Ð½Ð¾Ð³Ð¾ Ð¿ÑÐ¾Ð´ÑÐºÑÐ° Ð´Ð»Ñ ÑÐµÑÐµÐ½Ð¸Ñ Ð¼Ð°ÑÐµÐ¼Ð°ÑÐ¸ÑÐµÑÐºÐ¾Ð¹ Ð·Ð°Ð´Ð°ÑÐ¸ Ð¸ ÑÐ¾Ð¾ÑÐ²ÐµÑÑÑÐ²ÑÑÑÐµÐ¹ ÐµÐ¹ Ð¼Ð°ÑÐµÐ¼Ð°ÑÐ¸ÑÐµÑÐºÐ¾Ð¹ Ð¼Ð¾Ð´ÐµÐ»Ð¸ Ð² Ð¾Ð±Ð»Ð°ÑÑÐ¸ ÐºÐ²Ð°Ð½ÑÐ¾Ð²Ð¾Ð¹ ÑÐ°Ð´Ð¸Ð¾ÑÐ¸Ð·Ð¸ÐºÐ¸. Ð ÑÐ°Ð±Ð¾ÑÐµ Ð¿ÑÐ¾Ð²ÐµÐ´ÑÐ½ Ð¾Ð±Ð·Ð¾ÑÐ° Ð¼ÐµÑÐ¾Ð´Ð¾Ð² ÑÐµÑÐµÐ½Ð¸Ñ Ð·Ð°Ð´Ð°Ñ Ð½Ð°ÑÐ¾Ð¶Ð´ÐµÐ½Ð¸Ñ Ð¼Ð¾Ð´, ÑÐ°Ð·ÑÐ°Ð±Ð¾ÑÐ°Ð½Ð° Ð¿ÑÐ¾Ð³ÑÐ°Ð¼Ð¼Ð° Ð´Ð»Ñ Ð²ÑÑÐ¸ÑÐ»ÐµÐ½Ð¸Ñ ÑÐ»ÐµÐºÑÑÐ¾Ð¼Ð°Ð³Ð½Ð¸ÑÐ½ÑÑ Ð¼Ð¾Ð´ Ð² ÑÐµÐ·Ð¾Ð½Ð°ÑÐ¾ÑÐµ, ÑÐ°Ð·ÑÐ°Ð±Ð¾ÑÐ°Ð½Ñ ÑÐµÑÑÑ Ð¸ Ð¿ÑÐ¾Ð²ÐµÐ´ÐµÐ½Ð° Ð¿ÑÐ¾Ð²ÐµÑÐºÐ° ÑÐ°Ð±Ð¾ÑÑ Ð¿ÑÐ¾Ð³ÑÐ°Ð¼Ð¼Ñ Ð½Ð° Ð½Ð¸Ñ, Ð¿ÑÐ¾Ð²ÐµÐ´ÐµÐ½Ñ ÑÐ°ÑÑÑÑÑ Ð¿ÑÐ¸ Ð·Ð°Ð´Ð°Ð½Ð½ÑÑ Ð¿Ð°ÑÐ°Ð¼ÐµÑÑÐ°Ñ Ð¼Ð¾Ð´ÐµÐ»Ð¸. Ð ÐµÐ·ÑÐ»ÑÑÐ°ÑÑ Ð¿ÑÐ¾Ð²ÐµÐ´ÑÐ½Ð½Ð¾Ð¹ ÑÐ°Ð±Ð¾ÑÑ Ð¿Ð¾Ð¼Ð¾Ð³ÑÑ Ð²ÑÑÑÐ½Ð¸ÑÑ ÐºÐ°ÐºÐ¸Ð¼ Ð¾Ð±ÑÐ°Ð·Ð¾Ð¼ ÑÑÑÐµÐºÑÐ¸Ð²Ð½ÐµÐµ ÑÐ°ÑÐ¿Ð¾Ð»Ð°Ð³Ð°ÑÑ Ð¸Ð·Ð»ÑÑÐ°ÑÐµÐ»Ð¸ Ð² ÑÐµÐ·Ð¾Ð½Ð°ÑÐ¾ÑÐµ Ð¿ÑÑÐ¼Ð¾ÑÐ³Ð¾Ð»ÑÐ½Ð¾Ð¹ ÑÐ¾ÑÐ¼Ñ Ð¿Ð¾ Ð¿Ð¾ÑÑÑÐ¾ÐµÐ½Ð½Ð¾Ð¹ Ð¼Ð¾Ð´ÐµÐ»Ð¸, ÐºÐ°ÐºÐ¸Ðµ Ð¿Ð°ÑÐ°Ð¼ÐµÑÑÑ Ð¼Ð¾Ð´ÐµÐ»Ð¸ Ð¾ÐºÐ°Ð·ÑÐ²Ð°ÑÑ Ð²Ð»Ð¸ÑÐ½Ð¸Ðµ Ð½Ð° ÑÑ Ð¸Ð»Ð¸ Ð¸Ð½ÑÑ ÑÐ°ÑÐ°ÐºÑÐµÑÐ¸ÑÑÐ¸ÐºÑ. Ð Ð°Ð·ÑÐ°Ð±Ð¾ÑÐ°Ð½Ð½Ð°Ñ Ð¼ÐµÑÐ¾Ð´Ð¸ÐºÐ° Ð¸ Ð¾Ð¿ÑÑ ÑÐµÑÐµÐ½Ð¸Ñ Ð·Ð°Ð´Ð°ÑÐ¸ Ð±ÑÐ´ÑÑ Ð¿Ð¾Ð»ÐµÐ·Ð½ÑÐ¼Ð¸ Ð¿ÑÐ¸ ÑÐµÑÐµÐ½Ð¸Ð¸ Ð·Ð°Ð´Ð°Ñ Ñ ÑÐµÐ·Ð¾Ð½Ð°ÑÐ¾ÑÐ°Ð¼Ð¸ Ð±Ð¾Ð»ÐµÐµ ÑÐ»Ð¾Ð¶Ð½Ð¾Ð¹ ÑÐ¾ÑÐ¼Ñ.
description: The theme of the final qualifying work: "Development of a program for calculating the modes of the electromagnetic field in a resonator." This work is devoted to the development of a software product for solving a mathematical problem and the corresponding mathematical model in the field of quantum radio physics. In this work, a review of methods for solving problems of finding modes is carried out, a program for calculating electromagnetic modes in a resonator has been developed, tests have been developed and the operation of the program on them has been verified, and calculations have been carried out for the given parameters of the model. The results of the work carried out will help to find out how it is more efficient to place the emitters in a rectangular resonator according to the constructed model, what parameters of the model affect a particular characteristic. The developed methodology and experience in solving the problem will be useful in solving problems with resonators of a more complex shape.