title: ÐÐ°ÑÐµÐ¼Ð°ÑÐ¸ÑÐµÑÐºÐ°Ñ Ð¼Ð¾Ð´ÐµÐ»Ñ Ð¿ÐµÑÐ¸ÑÐºÐ¾Ð¿Ð¸ÑÐµÑÐºÐ¾Ð³Ð¾ ÑÑÑÑÐ¾Ð¹ÑÑÐ²Ð° Ð¸ Ð¾Ð¿ÑÐ¸ÑÐµÑÐºÐ¾Ð¹ ÑÐ¸ÑÑÐµÐ¼Ñ Ð´Ð»Ñ Ð»Ð°Ð·ÐµÑÐ½Ð¾Ð¹ Ð´Ð¸Ð°Ð³Ð½Ð¾ÑÑÐ¸ÐºÐ¸
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: Mathematical model of periscope device and optical system for laser diagnostics
Creators: name: ÐÑÐ½Ð´ÐµÑÐ¸Ð½Ð°, ÐÐ»Ð¸Ð·Ð°Ð²ÐµÑÐ°
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: 2020
Subjects: Ð¾Ð¿ÑÐ¸ÐºÐ°
Ð»Ð°Ð·ÐµÑ
Ð¼Ð°ÑÐµÐ¼Ð°ÑÐ¸ÑÐµÑÐºÐ°Ñ Ð¼Ð¾Ð´ÐµÐ»Ñ
optics
laser
mathematical model

description: Ð Ð½Ð°ÑÑÐ¾ÑÑÐµÐµ Ð²ÑÐµÐ¼Ñ Ð² Ð¼Ð¸ÑÐµ ÑÐ²Ð»ÑÐµÑÑÑ Ð°ÐºÑÑÐ°Ð»ÑÐ½ÑÐ¼ Ð²Ð¾Ð¿ÑÐ¾Ñ Ð¿Ð¾Ð¸ÑÐºÐ° Ð°Ð»ÑÑÐµÑÐ½Ð°ÑÐ¸Ð²Ð½ÑÑ Ð²Ð°ÑÐ¸Ð°Ð½ÑÐ¾Ð² Ð¿Ð¾Ð»ÑÑÐµÐ½Ð¸Ñ ÑÐ½ÐµÑÐ³Ð¸Ð¸. Ð ÑÐ²ÑÐ·Ð¸ ÑÐ¾ Ð·Ð½Ð°ÑÐ¸ÑÐµÐ»ÑÐ½ÑÐ¼ Ð²Ð»Ð¸ÑÐ½Ð¸ÐµÐ¼ ÑÑÐµÑÑ Ð½Ð° ÑÐºÐ¾Ð»Ð¾Ð³Ð¸Ñ, Ð¿ÑÐµÐ´Ð¿Ð¾ÑÑÐµÐ½Ð¸Ðµ Ð¾ÑÐ´Ð°ÐµÑÑÑ Ð²Ð°ÑÐ¸Ð°Ð½ÑÐ°Ð¼ "ÑÐ¸ÑÑÐ¾Ð¹" ÑÐ½ÐµÑÐ³Ð¸Ð¸, ÑÐ°ÐºÐ¸Ð¼ ÐºÐ°Ðº ÑÐµÑÐ¼Ð¾ÑÐ´ÐµÑÐ½Ð°Ñ ÑÐ½ÐµÑÐ³ÐµÑÐ¸ÐºÐ°. Ð Ð¤Ð¸Ð·Ð¸ÐºÐ¾-ÑÐµÑÐ½Ð¸ÑÐµÑÐºÐ¾Ð¼ Ð¸Ð½ÑÑÐ¸ÑÑÑÐµ Ð¸Ð¼ÐµÐ½Ð¸ Ð.Ð¤. ÐÐ¾ÑÑÐµ ÑÐ°Ð·ÑÐ°Ð±Ð°ÑÑÐ²Ð°ÐµÑÑÑ Ð´Ð¸Ð°Ð³Ð½Ð¾ÑÑÐ¸ÐºÐ° Ð¢Ð¾Ð¼ÑÐ¾Ð½Ð¾Ð²ÑÐºÐ¾Ð³Ð¾ ÑÐ°ÑÑÐµÑÐ½Ð¸Ñ. ÐÐ´Ð½Ð¾Ð¹ Ð¸Ð· ÑÐ¾ÑÑÐ°Ð²Ð»ÑÑÑÐµÐ¹ ÑÐ°ÑÑÐµÐ¹ Ð´Ð¸Ð°Ð³Ð½Ð¾ÑÑÐ¸ÐºÐ¸ ÑÐ²Ð»ÑÐµÑÑÑ ÑÐ¸ÑÑÐµÐ¼Ð° Ð´Ð¾ÑÑÐ°Ð²ÐºÐ¸ Ð¼Ð¾ÑÐ½Ð¾Ð³Ð¾ Ð»Ð°Ð·ÐµÑÐ½Ð¾Ð³Ð¾ Ð¸Ð·Ð»ÑÑÐµÐ½Ð¸Ñ Ð² ÐºÐ°Ð¼ÐµÑÑ ÑÐµÐ°ÐºÑÐ¾ÑÐ°. ÐÐ»Ñ Ð¿ÑÐ¾ÑÐ¾Ð¶Ð´ÐµÐ½Ð¸Ñ Ð±Ð¸Ð¾Ð»Ð¾Ð³Ð¸ÑÐµÑÐºÐ¾Ð¹ Ð·Ð°ÑÐ¸ÑÑ ÑÐµÐ°ÐºÑÐ¾ÑÐ° - ÑÐ¾Ð»ÑÑÐ¾Ð¹ ÑÑÐµÐ½Ñ - Ð² ÑÑÐ¾Ð¹ ÑÑÐµÐ½Ðµ ÑÐ°ÑÐ¿Ð¾Ð»Ð¾Ð¶ÐµÐ½Ñ Ð´Ð²Ð° Ð¾ÑÐ²ÐµÑÑÑÐ¸Ñ, ÑÐ°Ð·Ð½ÐµÑÐµÐ½Ð½ÑÐµ Ð² Ð¿ÑÐ¾ÑÑÑÐ°Ð½ÑÑÐ²Ðµ Ð´Ð»Ñ Ð¸ÑÐºÐ»ÑÑÐµÐ½Ð¸Ñ Ð¿ÑÑÐ¼Ð¾Ð³Ð¾ Ð¿ÑÐ¾ÑÑÑÐµÐ»Ð° Ð±ÑÑÑÑÑÑ Ð½ÐµÐ¹ÑÑÐ¾Ð½Ð¾Ð². ÐÐµÑÐ¸ÑÐºÐ¾Ð¿Ð¸ÑÐµÑÐºÐ¾Ðµ ÑÑÑÑÐ¾Ð¹ÑÑÐ²Ð¾, Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ðµ ÐºÐ¾ÑÐ¾ÑÐ¾Ð³Ð¾ Ð±ÑÐ´ÐµÑ Ð¸Ð·Ð»Ð¾Ð¶ÐµÐ½Ð¾ Ð½Ð¸Ð¶Ðµ, Ð¿Ð¾Ð·Ð²Ð¾Ð»ÑÐµÑ Ð¿ÑÐ¾Ð²ÐµÑÑÐ¸ Ð»Ð°Ð·ÐµÑÐ½ÑÐ¹ Ð¿ÑÑÐ¾Ðº Ð¸Ð· Ð¾Ð´Ð½Ð¾Ð³Ð¾ Ð¾ÑÐ²ÐµÑÑÑÐ¸Ñ Ð² Ð´ÑÑÐ³Ð¾Ðµ. ÐÐ¾ÑÑÐµÐ´ÑÑÐ²Ð¾Ð¼ ÑÐ°Ð±Ð¾ÑÑ Ñ ÑÑÐµÑÐ¼ÐµÑÐ½Ð¾Ð¹ Ð¼Ð¾Ð´ÐµÐ»ÑÑ Ð¼Ð°ÐºÐµÑÐ° Ð±ÑÐ»Ð° Ð¿Ð¾ÑÑÑÐ¾ÐµÐ½Ð° Ð¼Ð°ÑÐµÐ¼Ð°ÑÐ¸ÑÐµÑÐºÐ°Ñ Ð¼Ð¾Ð´ÐµÐ»Ñ ÑÐµÐ°Ð»ÑÐ½Ð¾Ð³Ð¾ Ð¿ÐµÑÐ¸ÑÐºÐ¾Ð¿Ð¸ÑÐµÑÐºÐ¾Ð³Ð¾ ÑÑÑÑÐ¾Ð¹ÑÑÐ²Ð°. Ð ÑÐ¾Ð´Ðµ ÑÐ°Ð±Ð¾ÑÑ Ð±ÑÐ»Ð¸ ÑÐ°Ð·ÑÐ°Ð±Ð¾ÑÐ°Ð½Ñ Ð°Ð»Ð³Ð¾ÑÐ¸ÑÐ¼Ñ Ð¿Ð¾Ð¸ÑÐºÐ° ÑÑÐ°ÐµÐºÑÐ¾ÑÐ¸Ñ Ð»ÑÑÐ°, Ð¿ÑÐ¾ÑÐ¾Ð´ÑÑÐµÐ³Ð¾ ÑÐµÑÐµÐ· ÑÑÑÑÐ¾Ð¹ÑÑÐ²Ð¾, Ð¸ Ð¿Ð¾Ð¸ÑÐºÐ° Ð¾Ð¿ÑÐ¸Ð¼Ð°Ð»ÑÐ½Ð¾Ð¹ ÑÑÑÐ°ÑÐµÐ³Ð¸Ð¸ Ð²ÑÐ±Ð¾ÑÐ° ÑÐ³Ð»Ð¾Ð² Ð¿Ð¾Ð²Ð¾ÑÐ¾ÑÐ° Ð¼Ð¾ÑÐ¾ÑÐ¾Ð² Ð´Ð»Ñ ÑÐ¾ÐºÑÑÐ¸ÑÐ¾Ð²ÐºÐ¸ Ð¿ÑÑÐºÐ° Ð»Ð°Ð·ÐµÑÐ° Ð² ÑÐµÐ»Ñ. Ð Ð°Ð·ÑÐ°Ð±Ð¾ÑÐ°Ð½Ð½ÑÐµ Ð°Ð»Ð³Ð¾ÑÐ¸ÑÐ¼Ñ Ð¼Ð¾Ð³ÑÑ Ð±ÑÑÑ Ð¸ÑÐ¿Ð¾Ð»ÑÐ·Ð¾Ð²Ð°Ð½Ñ Ð¿ÑÐ¸ ÑÐµÑÐµÐ½Ð¸Ð¸ Ð¿ÑÐ°ÐºÑÐ¸ÑÐµÑÐºÐ¸Ñ Ð·Ð°Ð´Ð°Ñ ÑÐ¿ÑÐ°Ð²Ð»ÐµÐ½Ð¸Ñ Ð¿ÐµÑÐ¸ÑÐºÐ¾Ð¿Ð¸ÑÐµÑÐºÐ¸Ð¼ ÑÑÑÑÐ¾Ð¹ÑÑÐ²Ð¾Ð¼ Ð´Ð»Ñ Ð¿ÑÐ¾Ð²ÐµÐ´ÐµÐ½Ð¸Ñ Ð¿ÑÑÐºÐ° Ð¸Ð·Ð»ÑÑÐµÐ½Ð¸Ñ ÑÐµÑÐµÐ· Ð±Ð¸Ð¾Ð»Ð¾Ð³Ð¸ÑÐµÑÐºÑÑ Ð·Ð°ÑÐ¸ÑÑ ÑÐ¾ÐºÐ°Ð¼Ð°ÐºÐ°.
description: Currently, the problem of searching for alternative energy options is relevant in the world. Due to the significant environmental impact of the sphere, preference is given to options for "clean" energy, such as thermonuclear energy. At the Physicotechnical Institute. A.F. Ioffe is diagnosed with Thomson scattering. One of the diagnostic components is a system for delivering high-power laser radiation to the reactor chamber. To pass the biological protection of the reactor - a thick wall - two holes are located in this wall, spaced in space, to exclude the direct intersection of fast neutrons. The periscope device, the study of which will be described below, allows you to conduct a laser beam from one hole to another. When working with a three-dimensional model of the layout, a mathematical model of a real periscope device was built. During the work, algorithms were developed to search for the trajectory of the beam passing through the device and to search for the optimal strategy for choosing the rotation angles of the engines for focusing the laser beam on the target. The developed algorithms can be used to solve practical problems of controlling the periscope device for conducting a radiation beam through the biological protection of a tokamak.