title: ÐÐ±Ð½Ð°ÑÑÐ¶ÐµÐ½Ð¸Ðµ ÐºÐ¾Ð»ÐµÐ±Ð°ÑÐµÐ»ÑÐ½ÑÑ ÑÐµÑÐµÐ½Ð¸Ð¹ Ñ Ð²Ð°ÐºÑÑÐ¼Ð½Ð¾Ð³Ð¾ Ð´Ð¸Ð¾Ð´Ð° Ñ Ð¿ÑÑÐºÐ¾Ð¼ ÑÐ»ÐµÐºÑÑÐ¾Ð½Ð¾Ð² Ð² ÑÐµÐ¶Ð¸Ð¼Ðµ Ñ Ð¿Ð¾Ð»Ð½ÑÐ¼ Ð¾ÑÑÐ°Ð¶ÐµÐ½Ð¸ÐµÐ¼ ÑÐ°ÑÑÐ¸Ñ
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: Detection of oscillatory solutions in a vacuum diode with electron beam in a regime with total particles reflection
Creators: name: ÐÐ¾ÑÐ¾Ð·Ð¾Ð², ÐÐ²Ð°Ð½
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¸Ð¾Ð´Ñ Ð¿Ð¾Ð»ÑÐ¿ÑÐ¾Ð²Ð¾Ð´Ð½Ð¸ÐºÐ¾Ð²ÑÐµ
Ð¿ÑÐ»ÑÑÐ°Ñ
Ð²Ð°ÐºÑÑÐ¼Ð½ÑÐ¹ Ð´Ð¸Ð¾Ð´
Ð¿Ð¾ÑÐ¾Ðº ÑÐ»ÐµÐºÑÑÐ¾Ð½Ð¾Ð²
ÑÐ»ÐµÐºÑÑÐ¾Ð½Ð½Ð°Ñ Ð½ÐµÑÑÑÐ¾Ð¹ÑÐ¸Ð²Ð¾ÑÑÑ
Ð½ÐµÐ»Ð¸Ð½ÐµÐ¹Ð½ÑÐµ ÐºÐ¾Ð»ÐµÐ±Ð°Ð½Ð¸Ñ

description: Ð ÑÐ°Ð±Ð¾ÑÐµ ÑÐ¸ÑÐ»ÐµÐ½Ð½Ð¾ Ð¸Ð·ÑÑÐ°ÐµÑÑÑ ÑÑÑÐ¾Ð¹ÑÐ¸Ð²Ð¾ÑÑÑ ÑÑÐ°ÑÐ¸Ð¾Ð½Ð°ÑÐ½ÑÑ ÑÐµÑÐµÐ½Ð¸Ð¹ Ñ Ð¿Ð»Ð¾ÑÐºÐ¾Ð³Ð¾ Ð²Ð°ÐºÑÑÐ¼Ð½Ð¾Ð³Ð¾ Ð´Ð¸Ð¾Ð´Ð° Ð´Ð»Ñ ÑÐµÐ¶Ð¸Ð¼Ð°, ÐºÐ¾Ð³Ð´Ð° ÑÐ°Ð·Ð½Ð¾ÑÑÑ Ð¿Ð¾ÑÐµÐ½ÑÐ¸Ð°Ð»Ð¾Ð² Ð¼ÐµÐ¶Ð´Ñ ÑÐ»ÐµÐºÑÑÐ¾Ð´Ð°Ð¼Ð¸ ÑÑÐ¾Ð»Ñ Ð²ÐµÐ»Ð¸ÐºÐ°, ÑÑÐ¾ Ð²ÑÐµ ÑÐ»ÐµÐºÑÑÐ¾Ð½Ñ, Ð²ÑÐ»ÐµÑÐµÐ²ÑÐ¸Ðµ Ñ ÑÐ¼Ð¸ÑÑÐµÑÐ°, Ð¾ÑÑÐ°Ð¶Ð°ÑÑÑÑ Ð²Ð½ÑÑÑÐ¸ Ð¼ÐµÐ¶ÑÐ»ÐµÐºÑÑÐ¾Ð´Ð½Ð¾Ð³Ð¾ Ð¿ÑÐ¾Ð¼ÐµÐ¶ÑÑÐºÐ°. ÐÐµÐ¼Ð¾Ð½ÑÑÑÐ¸ÑÑÑÑÑÑ Ð¾Ð±Ð»Ð°ÑÑÐ¸ ÑÐµÐ¾ÑÐµÑÐ¸ÑÐµÑÐºÐ¾Ð¹ ÑÐ¸Ð·Ð¸ÐºÐ¸ Ð¸ Ð°ÑÑÑÐ¾ÑÐ¸Ð·Ð¸ÐºÐ¸ Ð¸ Ð¿ÑÐ¸Ð»Ð¾Ð¶ÐµÐ½Ð¸Ð¹, Ð´Ð»Ñ ÐºÐ¾ÑÐ¾ÑÑÑ Ð½ÐµÐ¾Ð±ÑÐ¾Ð´Ð¸Ð¼Ð¾ ÑÐµÑÐ°ÑÑ Ð¿ÑÐ¾Ð±Ð»ÐµÐ¼Ñ ÑÑÑÐ¾Ð¹ÑÐ¸Ð²Ð¾ÑÑÐ¸ ÑÑÐ°ÑÐ¸Ð¾Ð½Ð°ÑÐ½ÑÑ ÑÐµÑÐµÐ½Ð¸Ð¹ Ð² Ð¿Ð»Ð°Ð·Ð¼Ðµ. ÐÐ±ÑÑÑÐ½ÑÐµÑÑÑ, Ð¿Ð¾ÑÐµÐ¼Ñ Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ñ ÑÑÑÐ¾Ð¹ÑÐ¸Ð²Ð¾ÑÑÐ¸ Ð¿ÑÐ¾Ð²Ð¾Ð´ÑÑÑÑ ÑÐ¸ÑÐ»ÐµÐ½Ð½Ð¾. ÐÐ¿Ð¸ÑÑÐ²Ð°ÐµÑ Ð¼ÐµÑÐ¾Ð´ ÑÐ°ÑÑÐµÑÐ° ÑÑÐ°ÑÐ¸Ð¾Ð½Ð°ÑÐ½ÑÑ ÑÐ°ÑÐ¿ÑÐµÐ´ÐµÐ»ÐµÐ½Ð¸Ð¹ ÐºÐ¾Ð½ÑÐµÐ½ÑÑÐ°ÑÐ¸Ð¸ Ð¸ ÑÐ»ÐµÐºÑÑÐ¸ÑÐµÑÐºÐ¾Ð³Ð¾ Ð¿Ð¾Ð»Ñ. ÐÐ°ÐµÑÑÑ Ð¾Ð¿Ð¸ÑÐ°Ð½Ð¸Ðµ ÑÐ¸ÑÐ»ÐµÐ½Ð½Ð¾Ð³Ð¾ Ð,Ð-ÐºÐ¾Ð´Ð°, Ñ Ð¿Ð¾Ð¼Ð¾ÑÑÑ ÐºÐ¾ÑÐ¾ÑÐ¾Ð³Ð¾ Ð²ÑÐ¿Ð¾Ð»Ð½ÑÑÑÑÑ ÑÐ°ÑÑÐµÑÑ Ð½ÐµÑÑÐ°ÑÐ¸Ð¾Ð½Ð°ÑÐ½ÑÑ Ð¿ÑÐ¾ÑÐµÑÑÐ¾Ð². Ð­Ð²Ð¾Ð»ÑÑÐ¸Ñ Ð²Ð¾ Ð²ÑÐµÐ¼ÐµÐ½Ð¸ ÑÐ°Ð·Ð»Ð¸ÑÐ½ÑÑ ÑÐ°ÑÐ°ÐºÑÐµÑÐ¸ÑÑÐ¸Ðº Ð´Ð¸Ð¾Ð´Ð° Ð´ÐµÐ¼Ð¾Ð½ÑÑÑÐ¸ÑÑÐµÑÑÑ ÑÐ¸ÑÑÐ½ÐºÐ°Ð¼Ð¸. ÐÐ¿Ð¸ÑÑÐ²Ð°ÐµÑÑÑ Ð¼ÐµÑÐ¾Ð´ Ð²ÑÑÐ¸ÑÐ»ÐµÐ½Ð¸Ñ Ð¸Ð½ÐºÑÐµÐ¼ÐµÐ½ÑÐ°, ÑÐ°ÑÑÐ¾ÑÑ Ð¸ Ð¿ÐµÑÐ¸Ð¾Ð´Ð° ÑÐ¾Ð±ÑÑÐ²ÐµÐ½Ð½ÑÑ Ð¼Ð¾Ð´ Ð¼Ð°Ð»ÑÑ Ð²Ð¾Ð·Ð¼ÑÑÐµÐ½Ð¸Ð¹, Ð¾ÑÐ½Ð¾Ð²Ð°Ð½Ð½ÑÐ¹ Ð½Ð° Ð¼Ð¸Ð½Ð¸Ð¼Ð¸Ð·Ð°ÑÐ¸Ð¸ ÑÑÐ½ÐºÑÐ¸Ð¾Ð½Ð°Ð»Ð°, ÑÐ¾ÑÑÐ°Ð²Ð»ÐµÐ½Ð½Ð¾Ð³Ð¾ Ð¸Ð· ÑÑÐ¼Ð¼Ñ ÐºÐ²Ð°Ð´ÑÐ°ÑÐ¾Ð² ÑÐ°Ð·Ð½Ð¾ÑÑÐ¸ Ð°Ð½Ð°Ð»Ð¸ÑÐ¸ÑÐµÑÐºÐ¾Ð¹ ÑÐ¾ÑÐ¼ÑÐ»Ñ Ð¸ Ð¼Ð°ÑÑÐ¸Ð²Ð° ÑÐ¸ÑÐ»ÐµÐ½Ð½Ð¾Ð³Ð¾ ÑÐµÑÐµÐ½Ð¸Ñ. ÐÐ¿ÑÐµÐ´ÐµÐ»ÐµÐ½Ð° Ð³ÑÐ°Ð½Ð¸ÑÐ°, ÑÐ°Ð·Ð´ÐµÐ»ÑÑÑÐ°Ñ Ð¾Ð±Ð»Ð°ÑÑÐ¸ ÑÑÑÐ¾Ð¹ÑÐ¸Ð²ÑÑ Ð¸ Ð½ÐµÑÑÑÐ¾Ð¹ÑÐ¸Ð²ÑÑ ÑÐµÑÐµÐ½Ð¸Ð¹. ÐÐ½Ð°Ð»Ð¸Ð·Ð¸ÑÑÑÑÑÑ ÑÐ°ÑÐ°ÐºÑÐµÑÐ¸ÑÑÐ¸ÐºÐ¸ Ð½ÐµÐ»Ð¸Ð½ÐµÐ¹Ð½ÑÑ ÐºÐ¾Ð»ÐµÐ±Ð°Ð½Ð¸Ð¹, ÐºÐ¾ÑÐ¾ÑÑÐµ ÑÐ°Ð·Ð²Ð¸Ð²Ð°ÑÑÑÑ Ð² Ð´Ð¸Ð¾Ð´Ðµ Ð²Ð¼ÐµÑÑÐ¾ Ð½ÐµÑÑÑÐ¾Ð¹ÑÐ¸Ð²ÑÑ ÑÑÐ°ÑÐ¸Ð¾Ð½Ð°ÑÐ½ÑÑ ÑÐµÑÐµÐ½Ð¸Ð¹. ÐÑÐµÐ´Ð»Ð¾Ð¶ÐµÐ½Ð¾ Ð¸ÑÐ¿Ð¾Ð»ÑÐ·Ð¾Ð²Ð°ÑÑ Ð¿Ð¾Ð»ÑÑÐµÐ½Ð½ÑÐµ ÑÐµÐ·ÑÐ»ÑÑÐ°ÑÑ Ð´Ð»Ñ ÑÐ¾Ð·Ð´Ð°Ð½Ð¸Ñ Ð³ÐµÐ½ÐµÑÐ°ÑÐ¾ÑÐ° Ð¡ÐÐ§-Ð¸Ð·Ð»ÑÑÐµÐ½Ð¸Ñ.
description: In this work, the stability of stationary solutions for a planar vacuum diode is studied numerically for a regime when the potential difference between the electrodes is so great that all electrons entered from the emitter are reflected inside the inter-electrode gap. The areas of theoretical physics and astrophysics as well as applications for which it is necessary to solve the stability problem of stationary solutions in plasma are demonstrated. It is explained why stability study is produced numerically. A method of calculating stationary density and electric field distributions are described. The numerical E,K-code used to calculate non-stationary processes is described. The evolution of the various characteristics of the diode is demonstrated by figures. A method of calculating the growth rate, frequency and period of eigenmodes of small perturbations is described. This method is based on minimizing the functional composed of a sum of the squares difference of the analytical formula and the numerical solution array. The boundary separating the areas of stable and unstable solutions is determined. The characteristics of nonlinear oscillations developed in the diode instead of unstable stationary solutions are analyzed. It is proposed to use the results obtained to create a microwave generator.