title: ÐÐ¾Ð½Ð½ÑÐµ Ð»Ð¾Ð²ÑÑÐºÐ¸ Ñ Ð¸Ð´ÐµÐ°Ð»ÑÐ½Ð¾Ð¹ Ð¿ÑÐ¾ÑÑÑÐ°Ð½ÑÑÐ²ÐµÐ½Ð½Ð¾-Ð²ÑÐµÐ¼ÐµÐ½Ð½Ð¾Ð¹ ÑÐ¾ÐºÑÑÐ¸ÑÐ¾Ð²ÐºÐ¾Ð¹
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: Ion traps with perfect spatio-temporal focusing
Creators: name: ÐÐµÑÐ°ÑÐ¸Ð¼Ð¾Ð², ÐÐ¼Ð¸ÑÑÐ¸Ð¹
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: ÐÐ°ÑÑ-ÑÐ¿ÐµÐºÑÑÐ¾Ð¼ÐµÑÑÐ¸Ñ
Ð¸Ð¾Ð½Ð½ÑÐµ Ð»Ð¾Ð²ÑÑÐºÐ¸
Ð¸Ð´ÐµÐ°Ð»ÑÐ½Ð°Ñ Ð¿ÑÐ¾ÑÑÑÐ°Ð½ÑÐ²ÐµÐ½Ð½Ð¾-Ð²ÑÐµÐ¼ÐµÐ½Ð½Ð°Ñ ÑÐ¾ÐºÑÑÐ¸ÑÐ¾Ð²ÐºÐ°
Ð¾Ð¿ÑÐ¸ÐºÐ° Ð·Ð°ÑÑÐ¶ÐµÐ½Ð½ÑÑ ÑÐ°ÑÑÐ¸Ñ

description: Ð Ð°Ð±Ð¾ÑÐ° Ð¿Ð¾ÑÐ²ÑÑÐµÐ½Ð° Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ñ Ð½Ð¾Ð²ÑÑ Ð½ÐµÐ¸Ð½ÑÐµÐ³ÑÐ¸ÑÑÐµÐ¼ÑÑ Ð¸Ð¾Ð½Ð½ÑÑ Ð»Ð¾Ð²ÑÑÐµÐº Ñ Ð¸Ð´ÐµÐ°Ð»ÑÐ½Ð¾Ð¹ Ð¿ÑÐ¾ÑÑÑÐ°Ð½ÑÑÐ²ÐµÐ½Ð½Ð¾-Ð²ÑÐµÐ¼ÐµÐ½Ð½Ð¾Ð¹ ÑÐ¾ÐºÑÑÐ¸ÑÐ¾Ð²ÐºÐ¾Ð¹ Ð½Ð° Ð±Ð°Ð·Ðµ Ð¿Ð¾Ð»ÐµÐ¹, Ð¾Ð¿Ð¸ÑÑÐ²Ð°ÐµÐ¼ÑÑ ÑÐ»ÐµÐ¼ÐµÐ½ÑÐ°ÑÐ½ÑÐ¼Ð¸ ÑÑÐ½ÐºÑÐ¸ÑÐ¼Ð¸. ÐÐ°Ð´Ð°ÑÐ¸, ÐºÐ¾ÑÐ¾ÑÑÐµ ÑÐµÑÐ°Ð»Ð¸ÑÑ Ð² ÑÐ¾Ð´Ðµ Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ñ: 1. ÐÐ¾Ð¸ÑÐº Ð½Ð¾Ð²ÑÑ Ð½ÐµÐ¸Ð½ÑÐµÐ³ÑÐ¸ÑÑÐµÐ¼ÑÑ Ð¸Ð¾Ð½Ð½Ð¾-Ð¾Ð¿ÑÐ¸ÑÐµÑÐºÐ¸Ñ Ð»Ð¾Ð²ÑÑÐµÐº Ñ Ð¸Ð´ÐµÐ°Ð»ÑÐ½Ð¾Ð¹ Ð¿ÑÐ¾ÑÑÑÐ°Ð½ÑÑÐ²ÐµÐ½Ð½Ð¾-Ð²ÑÐµÐ¼ÐµÐ½Ð½Ð¾Ð¹ ÑÐ¾ÐºÑÑÐ¸ÑÐ¾Ð²ÐºÐ¾Ð¹ Ð½Ð° Ð±Ð°Ð·Ðµ Ð¿Ð¾Ð»ÐµÐ¹, Ð¾Ð±ÑÐ°Ð·ÑÐµÐ¼ÑÑ Ð¿ÑÐ¾ÑÑÑÐ¼Ð¸ Ð°Ð½Ð°Ð»Ð¸ÑÐ¸ÑÐµÑÐºÐ¸Ð¼Ð¸ ÑÑÑÑÐºÑÑÑÐ°Ð¼Ð¸ Ñ ÑÐµÐ»ÑÑ Ð½Ð°ÑÐ¾Ð¶Ð´ÐµÐ½Ð¸Ñ ÑÐ¸ÑÑÐµÐ¼ Ñ ÑÐ²ÐµÐ»Ð¸ÑÐµÐ½Ð½ÑÐ¼ (Ð¿Ð¾ ÑÑÐ°Ð²Ð½ÐµÐ½Ð¸Ñ Ñ Ð¸ÑÐ¿Ð¾Ð»ÑÐ·ÑÐµÐ¼ÑÐ¼Ð¸) ÑÐ°Ð·Ð¾Ð²ÑÐ¼ Ð¾Ð±ÑÐµÐ¼Ð¾Ð¼; 2. ÐÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ðµ ÑÑÐ´Ð° Ð¿Ð»Ð°Ð½Ð°ÑÐ½ÑÑ Ð»Ð¾Ð²ÑÑÐµÐº (Ð»Ð¾Ð²ÑÑÐµÐº Ñ Ð¿ÑÐµÐ¸Ð¼ÑÑÐµÑÑÐ²ÐµÐ½Ð½ÑÐ¼ Ð´Ð²Ð¸Ð¶ÐµÐ½Ð¸ÐµÐ¼ Ð¸Ð¾Ð½Ð¾Ð² Ð²Ð±Ð»Ð¸Ð·Ð¸ Ð¿Ð»Ð¾ÑÐºÐ¾ÑÑÐ¸ ÑÐ¸Ð¼Ð¼ÐµÑÑÐ¸Ð¸ Ð¿Ð¾Ð»Ñ). Ð Ð°Ð±Ð¾ÑÐ° Ð²ÑÐ¿Ð¾Ð»Ð½ÐµÐ½Ð° Ð² Ð¡Ð°Ð½ÐºÑ-ÐÐµÑÐµÑÐ±ÑÑÐ³ÑÐºÐ¾Ð¼ ÐÐ¾Ð»Ð¸ÑÐµÑÐ½Ð¸ÑÐµÑÐºÐ¾Ð¼ ÑÐ½Ð¸Ð²ÐµÑÑÐ¸ÑÐµÑÐµ ÐÐµÑÑÐ° ÐÐµÐ»Ð¸ÐºÐ¾Ð³Ð¾, Ð³Ð´Ðµ Ð¿Ð¾Ð»ÑÑÐµÐ½Ñ Ð·Ð°Ð´Ð°Ð²Ð°ÐµÐ¼ÑÐµ ÑÐ»ÐµÐ¼ÐµÐ½ÑÐ°ÑÐ½ÑÐ¼Ð¸ Ð²ÑÑÐ°Ð¶ÐµÐ½Ð¸ÑÐ¼Ð¸ ÑÐ»ÐµÐºÑÑÐ¾Ð´Ð½ÑÐµ ÐºÐ¾Ð½ÑÐ¸Ð³ÑÑÐ°ÑÐ¸Ð¸, Ð¾Ð±ÐµÑÐ¿ÐµÑÐ¸Ð²Ð°ÑÑÐ¸Ðµ ÑÑÑÐ¾Ð¹ÑÐ¸Ð²ÑÐµ ÑÑÐ°ÐµÐºÑÐ¾ÑÐ¸Ð¸ Ð¸Ð¾Ð½Ð¾Ð² Ð¿ÑÐ¸ Ð¾Ð¿ÑÐµÐ´ÐµÐ»ÑÐ½Ð½Ð¾Ð¼ ÑÐ°ÑÐ¿Ð¾Ð»Ð¾Ð¶ÐµÐ½Ð¸Ð¸ Ð²Ð½ÑÑÑÐµÐ½Ð½Ð¸Ñ ÑÐ»ÐµÐºÑÑÐ¾Ð´Ð¾Ð². ÐÑÐ»Ð¸ Ð¿ÑÐ¾Ð²ÐµÐ´ÐµÐ½Ñ ÑÐ°ÑÑÐµÑÑ, Ð½Ð°Ð³Ð»ÑÐ´Ð½Ð¾ Ð¿Ð¾ÐºÐ°Ð·ÑÐ²Ð°ÑÑÐ¸Ðµ, ÐºÐ°Ðº Ð¾Ñ ÐºÐ¾Ð»Ð¸ÑÐµÑÑÐ²Ð° Ð²Ð½ÑÑÑÐµÐ½Ð½Ð¸Ñ ÑÐ»ÐµÐºÑÑÐ¾Ð´Ð¾Ð² Ð¼ÐµÐ½ÑÑÑÑÑ ÑÑÑÐ¾Ð¹ÑÐ¸Ð²ÑÐµ ÑÐ¾ÑÑÐ¾ÑÐ½Ð¸Ñ Ð¸ ÑÐ¿Ð¾ÑÐ¾Ð±Ð½Ð¾ÑÑÑ Ðº ÑÐ´ÐµÑÐ¶Ð°Ð½Ð¸Ñ Ð¿ÑÐ¸Ð±Ð¾ÑÐ¾Ð¼ Ð¸Ð¾Ð½Ð¾Ð² Ð² ÑÐ¸ÑÑÐµÐ¼Ðµ Ð² ÑÐµÐ»Ð¾Ð¼. ÐÐ½Ð°Ð»Ð¸Ð· Ð¿ÑÐ¾Ð²Ð¾Ð´Ð¸Ð»ÑÑ Ð¼ÐµÑÐ¾Ð´Ð¾Ð¼ Ð¼Ð°ÑÐµÐ¼Ð°ÑÐ¸ÑÐµÑÐºÐ¾Ð³Ð¾ Ð¼Ð¾Ð´ÐµÐ»Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ñ Ð¿ÑÐ¸ Ð¸ÑÐ¿Ð¾Ð»ÑÐ·Ð¾Ð²Ð°Ð½Ð¸Ð¸ ÑÐ¿ÐµÑÐ¸Ð°Ð»ÑÐ½Ð¾Ð¹ ÐºÐ¾Ð¼Ð¿ÑÑÑÐµÑÐ½Ð¾Ð¹ Ð¿ÑÐ¾Ð³ÑÐ°Ð¼Ð¼Ñ. Ð ÑÐµÐ·ÑÐ»ÑÑÐ°ÑÐµ Ð¿ÑÐ¾Ð°Ð½Ð°Ð»Ð¸Ð·Ð¸ÑÐ¾Ð²Ð°Ð½ ÑÑÐ´ ÐºÐ¾Ð½ÑÐ¸Ð³ÑÑÐ°ÑÐ¸Ð¹ Ð¸Ð¾Ð½Ð½ÑÑ Ð»Ð¾Ð²ÑÑÐµÐº Ñ ÑÐ°Ð·Ð»Ð¸ÑÐ½ÑÐ¼ ÐºÐ¾Ð»Ð¸ÑÐµÑÑÐ²Ð¾Ð¼ Ð¾ÑÐ¾Ð±ÐµÐ½Ð½Ð¾ÑÑÐµÐ¹ Ð¸ Ð¼Ð½Ð¾Ð¶ÐµÑÑÐ²Ð¾Ð¼ Ð²Ð°ÑÐ¸Ð°ÑÐ¸Ð¹ Ð¸Ñ ÑÐ°ÑÐ¿Ð¾Ð»Ð¾Ð¶ÐµÐ½Ð¸Ð¹ Ð²Ð½ÑÑÑÐ¸ ÐºÐ¾ÑÐ¿ÑÑÐ° Ð¿ÑÐ¸Ð±Ð¾ÑÐ°. ÐÐ¾Ð»ÑÑÐµÐ½Ð½ÑÐµ ÑÑÑÐ¾Ð¹ÑÐ¸Ð²ÑÐµ ÑÐ¾ÑÑÐ¾ÑÐ½Ð¸Ñ ÑÐ²Ð»ÑÑÑÑÑ Ð¸Ð½ÑÐµÑÐµÑÐ½ÑÐ¼Ð¸ Ñ Ð¿ÑÐ°ÐºÑÐ¸ÑÐµÑÐºÐ¾Ð¹ ÑÐ¾ÑÐºÐ¸ Ð·ÑÐµÐ½Ð¸Ñ.
description: This work is devoted to the study of various types of ion traps with ideal space-time focusing made on the base of electric fields given by simple mathematical functions. The tasks that were solved in the course of the study: 1. Search for new non-integrable ion-optical traps with ideal spatio-temporal focusing on the basis of fields formed by simple analytical structures in order to find systems with an increased (in comparison with the currently used) phase volume; 2. Investigation of a number of planar traps (traps with predominant motion of ions near the plane of symmetry of the field). The work was carried out at the Peter the Great St. Petersburg Polytechnic University, where electrode configurations given by elementary expressions were obtained, which ensure stable ion trajectories with a certain arrangement of internal electrodes. Calculations were carried out that clearly show how the number of internal electrodes changes the stable states and the ability of the device to retain ions in the system as a whole. The analysis was carried out by the method of mathematical modeling using a special computer program. As a result, a number of configurations of ion traps with a different number of features and a variety of variations in their arrangement inside the device body were analyzed. The resulting steady states are interesting from a practical point of view.