title: ÐÐ¿ÑÐ¸Ð¼Ð¸Ð·Ð°ÑÐ¸Ñ ÑÐ°Ð±Ð¾ÑÑ Ð¼Ð°Ð³Ð½Ð¸ÑÐ½Ð¾Ð¹ ÑÐ¿ÐµÐºÑÑÐ¾Ð³ÑÐ°ÑÐ¸ÑÐµÑÐºÐ¾Ð¹ ÑÐ¸ÑÑÐµÐ¼Ñ
title: Ð²ÑÐ¿ÑÑÐºÐ½Ð°Ñ ÐºÐ²Ð°Ð»Ð¸ÑÐ¸ÐºÐ°ÑÐ¸Ð¾Ð½Ð½Ð°Ñ ÑÐ°Ð±Ð¾ÑÐ° Ð¼Ð°Ð³Ð¸ÑÑÑÐ°
titleType: Subtitle
title: Optimization of the magnetic spectrographic system
Creators: name: ÐÐ¸Ð½ÑÐºÐ¾Ð²ÑÐºÐ°Ñ, Ð¢Ð°ÑÑÑÐ½Ð°
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: 2022
Subjects: Ð¡Ð¿ÐµÐºÑÑÐ¾Ð³ÑÐ°ÑÑ
ÐÐ°Ð³Ð½Ð¸ÑÐ½Ð¾Ðµ Ð¿Ð¾Ð»Ðµ
Ð­Ð»ÐµÐºÑÑÐ¾Ð½Ñ
ÐÐ¾Ð½Ñ
Ð¾Ð´Ð½Ð¾ÑÐ¾Ð´Ð½ÑÐµ Ð¿Ð¾ Ð­Ð¹Ð»ÐµÑÑ ÑÑÐ½ÐºÑÐ¸Ð¸
homogeneous in Eulerâs sense functions

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¿ÑÐ¸Ð¼Ð¸Ð·Ð°ÑÐ¸Ñ ÑÐ°Ð±Ð¾ÑÑ Ð¼Ð°Ð³Ð½Ð¸ÑÐ½Ð¾Ð¹ ÑÐ¿ÐµÐºÑÑÐ¾Ð³ÑÐ°ÑÐ¸ÑÐµÑÐºÐ¾Ð¹ ÑÐ¸ÑÑÐµÐ¼ÑÂ». Ð­Ð½ÐµÑÐ³Ð¾- Ð¸ Ð¼Ð°ÑÑ-Ð°Ð½Ð°Ð»Ð¸Ð· ÑÐ¸ÑÐ¾ÐºÐ¾ Ð¿ÑÐ¸Ð¼ÐµÐ½ÑÑÑÑÑ Ð²Ð¾ Ð¼Ð½Ð¾Ð³Ð¸Ñ Ð¾Ð±Ð»Ð°ÑÑÑÑ Ð½Ð°ÑÐºÐ¸ Ð¸ Ð¿ÑÐ¾Ð¸Ð·Ð²Ð¾Ð´ÑÑÐ²Ð°. Ð Ð¿Ð¾ÑÐ»ÐµÐ´Ð½ÐµÐµ Ð²ÑÐµÐ¼Ñ Ð·Ð°ÑÐ°ÑÑÑÑ Ð² ÐºÐ°ÑÐµÑÑÐ²Ðµ ÑÐµÐ³Ð¸ÑÑÑÐ¸ÑÑÑÑÐ¸Ñ ÑÐ¿ÐµÐºÑÑÑ ÑÑÑÑÐ¾Ð¹ÑÑÐ² Ð¸ÑÐ¿Ð¾Ð»ÑÐ·ÑÑÑÑÑ ÑÐ¿ÐµÐºÑÑÐ¾Ð³ÑÐ°ÑÑ. ÐÐ°Ð½Ð½Ð°Ñ ÑÐ°Ð±Ð¾ÑÐ° Ð¿Ð¾ÑÐ²ÑÑÐµÐ½Ð° Ð¼Ð¾Ð´ÐµÐ»Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ñ Ð¼Ð°Ð³Ð½Ð¸ÑÐ½Ð¾Ð¹ ÑÐ¿ÐµÐºÑÑÐ¾Ð³ÑÐ°ÑÐ¸ÑÐµÑÐºÐ¾Ð¹ ÑÐ¸ÑÑÐµÐ¼Ñ Ð½Ð° Ð¾ÑÐ½Ð¾Ð²Ðµ Ð¼Ð°Ð³Ð½Ð¸ÑÐ½ÑÑ Ð¿Ð¾Ð»ÐµÐ¹ Ð¾ÑÐ¾Ð±Ð¾Ð³Ð¾ ÐºÐ»Ð°ÑÑÐ° Ð¸ Ð¾Ð¿ÑÐ¸Ð¼Ð¸Ð·Ð°ÑÐ¸Ð¸ ÐµÑ ÑÐ°Ð±Ð¾ÑÑ. Ð ÑÐ¾Ð´Ðµ Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ñ Ð±ÑÐ»Ð¾ ÑÐ°ÑÑÐ¼Ð¾ÑÑÐµÐ½Ð¾ Ð´Ð²Ð¸Ð¶ÐµÐ½Ð¸Ðµ Ð¿ÑÑÐºÐ¾Ð² Ð·Ð°ÑÑÐ¶ÐµÐ½Ð½ÑÑ ÑÐ°ÑÑÐ¸Ñ Ð² Ð½ÐµÐ¾Ð´Ð½Ð¾ÑÐ¾Ð´Ð½ÑÑ Ð¼Ð°Ð³Ð½Ð¸ÑÐ½ÑÑ Ð¿Ð¾Ð»ÑÑ, Ð·Ð°Ð´Ð°Ð²Ð°ÐµÐ¼ÑÑ ÐºÐ°Ðº Ð¾Ð´Ð½Ð¾ÑÐ¾Ð´Ð½ÑÐµ Ð¿Ð¾ Ð.Â Ð­Ð¹Ð»ÐµÑÑ ÑÑÐ½ÐºÑÐ¸Ð¸. ÐÑÐ»Ð¸ Ð¿Ð¾ÑÑÑÐ¾ÐµÐ½Ñ ÑÑÐ°ÐµÐºÑÐ¾ÑÐ¸Ð¸ Ð´Ð²Ð¸Ð¶ÐµÐ½Ð¸Ñ Ð·Ð°ÑÑÐ¶ÐµÐ½Ð½ÑÑ ÑÐ°ÑÑÐ¸Ñ Ð² ÑÐ°ÐºÐ¸Ñ Ð¿Ð¾Ð»ÐµÐ²ÑÑ ÑÑÑÑÐºÑÑÑÐ°Ñ Ð¸ ÑÐ°ÑÑÑÐ¸ÑÐ°Ð½Ñ Ð¾ÑÐ½Ð¾Ð²Ð½ÑÐµ ÑÐ°ÑÐ°ÐºÑÐµÑÐ¸ÑÑÐ¸ÐºÐ¸ ÑÐ¸ÑÑÐµÐ¼, Ð² ÑÐ¾Ð¼ ÑÐ¸ÑÐ»Ðµ ÐºÐ¾Ð»Ð¸ÑÐµÑÑÐ²Ð¾ ÐºÐ°Ð½Ð°Ð»Ð¾Ð² Ð¿Ð¾ ÑÐ½ÐµÑÐ³Ð¸Ð¸, ÑÐ°Ð·ÑÐµÑÐµÐ½Ð¸Ðµ Ð¿Ð¾ ÑÐ½ÐµÑÐ³Ð¸Ð¸, ÐºÐ¾Ð»Ð¸ÑÐµÑÑÐ²Ð¾ ÐºÐ°Ð½Ð°Ð»Ð¾Ð² Ð¿Ð¾ Ð¼Ð°ÑÑÐµ Ð¸ Ð³Ð°Ð±Ð°ÑÐ¸ÑÑ Ð¿ÑÑÐµÐ½ Ð¾Ñ Ð¿ÑÑÐºÐ¾Ð² ÑÐ°ÑÑÐ¸Ñ Ð½Ð° Ð´ÐµÑÐµÐºÑÐ¸ÑÑÑÑÐ¸Ñ Ð¿Ð»Ð¾ÑÐºÐ¾ÑÑÑÑ. Ð¡ Ð¿Ð¾Ð¼Ð¾ÑÑÑ ÑÐµÐ³Ð¼ÐµÐ½ÑÐ°ÑÐ¸Ð¸ Ð¼Ð°Ð³Ð½Ð¸ÑÐ½Ð¾Ð³Ð¾ Ð¿Ð¾Ð»Ñ Ð¾Ð¿ÑÐ¸Ð¼Ð¸Ð·Ð¸ÑÐ¾Ð²Ð°Ð»Ð¸ ÑÐ°Ð±Ð¾ÑÑ Ð¼Ð°Ð³Ð½Ð¸ÑÐ½ÑÑ ÑÐ¿ÐµÐºÑÑÐ¾Ð³ÑÐ°ÑÐ¸ÑÐµÑÐºÐ¸Ñ ÑÐ¸ÑÑÐµÐ¼. ÐÑÐµ Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð½ÑÐµ ÑÑÑÑÐºÑÑÑÑ Ð¿Ð¾Ð·Ð²Ð¾Ð»ÑÑÑ ÑÐµÐ°Ð»Ð¸Ð·Ð¾Ð²Ð°ÑÑ ÑÐ¿ÐµÐºÑÑÐ¾Ð³ÑÐ°ÑÐ¸ÑÐµÑÐºÐ¸Ð¹ ÑÐ¸Ð¿ ÑÐ°Ð±Ð¾ÑÑ, ÑÑÐ¾ Ð´Ð¾ÐºÐ°Ð·ÑÐ²Ð°ÑÑ Ð¼Ð½Ð¾Ð³Ð¾ÑÐ¸ÑÐ»ÐµÐ½Ð½ÑÐµ Ð¼Ð¾Ð´ÐµÐ»Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ñ ÑÑÐ°ÐµÐºÑÐ¾ÑÐ½ÑÑ Ð¿Ð¾ÑÐ¾ÐºÐ¾Ð² Ð·Ð°ÑÑÐ¶ÐµÐ½Ð½ÑÑ ÑÐ°ÑÑÐ¸Ñ (ÑÐ»ÐµÐºÑÑÐ¾Ð½Ð¾Ð² Ð¸ Ð¸Ð¾Ð½Ð¾Ð²).
description: The subject of the graduate qualification work is âOptimization of the magnetic spectrographic systemâ. Energy and mass analysis are widely used in many fields of science and production. Nowadays spectrographs have been increasingly applied as spectra recording instruments. The given work is devoted to simulate a magnetic spectrographic system based on magnetic fields of a special class and optimize its operation. It is investigated the motion of charged particle beams in inhomogeneous magnetic fields, defined as homogeneous in Eulerâs sense functions. The trajectories of the motion of charged particles in such field structures were calculated and the main characteristics of the systems were determined, including the number of channels by energy, energy resolution, the number of channels by mass and the dimensions of spots from particle beams on the detecting planes. Magnetic field segmentation is used to optimize the operation of the magnetic spectrographic systems. All the investigated structures make it possible to implement a spectrographic type of operation, which is proved by numerous simulations of the trajectory flows of charged particles (electrons and ions).