title: ÐÐ¾Ð³Ð»Ð¾ÑÐµÐ½Ð¸Ðµ ÑÐ»ÐµÐºÑÑÐ¾Ð¼Ð°Ð³Ð½Ð¸ÑÐ½Ð¾Ð³Ð¾ Ð¸Ð·Ð»ÑÑÐµÐ½Ð¸Ñ Ð¸Ð½ÑÑÐ°ÐºÑÐ°ÑÐ½Ð¾Ð³Ð¾ Ð¸ ÑÐ°Ð´Ð¸Ð¾ Ð´Ð¸Ð°Ð¿Ð°Ð·Ð¾Ð½Ð° ÑÐ¸Ð»Ð¸Ð½Ð´ÑÐ¸ÑÐµÑÐºÐ¾Ð¹ Ð°Ð½Ð¸Ð·Ð¾ÑÑÐ¾Ð¿Ð½Ð¾Ð¹ Ð½Ð°Ð½Ð¾ÑÐ°ÑÑÐ¸ÑÐµÐ¹ Ð¼Ð°Ð»Ð¾Ð³Ð¾ ÑÐ°Ð·Ð¼ÐµÑÐ°
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: Absorption of electromagnetic radiation from the infrared and radio ranges by a small cylindrical anisotropic nanoparticle
Creators: name: ÐÑÑÐ¾Ð¼Ð¸Ð½, ÐÐ½Ð½Ð¾ÐºÐµÐ½Ñ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: 2020
Subjects: ÑÑÐµÐ»Ñ-ÑÐµÑ Ð½Ð¾Ð»Ð¾Ð³Ð¸Ð¸
ÑÐ³Ð»ÐµÑÐ¾Ð´Ð½ÑÐµ Ð½Ð°Ð½Ð¾ÑÑÑÐ±ÐºÐ¸
ÑÐ¸Ð»Ð¸Ð½Ð´ÑÐ¸ÑÐµÑÐºÐ¸Ðµ Ð°Ð½Ð¸Ð·Ð¾ÑÑÐ¾Ð¿Ð½ÑÐµ Ð½Ð°Ð½Ð¾ÑÐ°ÑÑÐ¸ÑÑ
ÑÐ°Ð´Ð¸Ð¾Ð¿Ð¾Ð³Ð»Ð¾ÑÐ°ÑÑÐ¸Ðµ Ð¼Ð°ÑÐµÑÐ¸Ð°Ð»Ñ
ÑÐ°Ð´Ð¸Ð¾Ð¿Ð¾Ð³Ð»Ð¾ÑÐ°ÑÑÐ¸Ðµ Ð¿Ð¾ÐºÑÑÑÐ¸Ñ
Ð¿Ð¾Ð³Ð»Ð¾ÑÐµÐ½Ð¸Ðµ ÑÐ»ÐµÐºÑÑÐ¾Ð¼Ð°Ð³Ð½Ð¸ÑÐ½ÑÑ Ð²Ð¾Ð»Ð½
ÑÐ°ÑÑÐµÑÐ½Ð¸Ðµ ÑÐ»ÐµÐºÑÑÐ¾Ð¼Ð°Ð³Ð½Ð¸ÑÐ½ÑÑ Ð²Ð¾Ð»Ð½
stealth technologies
carbon nanotubes
cylindrical anisotropic nanoparticles
radar absorbing materials
radar absorbing coatings
absorption of electromagnetic waves
scattering of electromagnetic waves

description: ÐÐ°Ð½Ð½Ð°Ñ ÑÐ°Ð±Ð¾ÑÐ° Ð¿Ð¾ÑÐ²ÑÑÐµÐ½Ð° Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ñ ÑÐ°ÑÑÐµÑÐ½Ð¸Ñ Ð¸ Ð¿Ð¾Ð³Ð»Ð¾ÑÐµÐ½Ð¸Ñ ÑÐ»ÐµÐºÑÑÐ¾Ð¼Ð°Ð³Ð½Ð¸ÑÐ½Ð¾Ð¹ Ð²Ð¾Ð»Ð½Ñ ÑÐ°Ð´Ð¸Ð¾Ð´Ð¸Ð°Ð¿Ð°Ð·Ð¾Ð½Ð° Ð¸ Ð¸Ð½ÑÑÐ°ÐºÑÐ°ÑÐ½Ð¾Ð³Ð¾ Ð´Ð¸Ð°Ð¿Ð°Ð·Ð¾Ð½Ð° ÑÐ¸Ð»Ð¸Ð½Ð´ÑÐ¸ÑÐµÑÐºÐ¾Ð¹ Ð°Ð½Ð¸Ð·Ð°ÑÑÐ¾Ð¿Ð½Ð¾Ð¹ Ð½Ð°Ð½Ð¾ÑÐ°ÑÑÐ¸ÑÐµÐ¹. 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 Ð°Ð·ÑÐ°Ð±Ð¾ÑÐºÐ° ÑÐ¸Ð·Ð¸ÑÐµÑÐºÐ¾Ð¹ Ð¼Ð¾Ð´ÐµÐ»Ð¸ Ð²Ð·Ð°Ð¸Ð¼Ð¾Ð´ÐµÐ¹ÑÑÐ²Ð¸Ñ ÑÐ¸Ð»Ð¸Ð½Ð´ÑÐ¸ÑÐµÑÐºÐ¸Ñ Ð°Ð½Ð¸Ð·Ð¾ÑÑÐ¾Ð¿Ð½ÑÑ ÑÐ°ÑÑÐ¸Ñ Ñ ÑÐ»ÐµÐºÑÑÐ¾Ð¼Ð°Ð³Ð½Ð¸ÑÐ½ÑÐ¼ Ð¸Ð·Ð»ÑÑÐµÐ½Ð¸ÐµÐ¼ Ð² ÑÐ°Ð´Ð¸Ð¾ Ð¸ Ð¸Ð½ÑÑÐ°ÐºÑÐ°ÑÐ½Ð¾Ð¼ ÑÐ¿ÐµÐºÑÑÐ°Ñ Ð¸Ð·Ð»ÑÑÐµÐ½Ð¸Ñ;
2. ÐÐ¾Ð¼Ð¿ÑÑÑÐµÑÐ½Ð¾Ðµ Ð¼Ð¾Ð´ÐµÐ»Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ðµ Ð¿Ð¾Ð³Ð»Ð¾ÑÐµÐ½Ð¸Ñ Ð¸ ÑÐ°ÑÑÐµÑÐ½Ð¸Ñ ÑÐ»ÐµÐºÑÑÐ¾Ð¼Ð°Ð³Ð½Ð¸ÑÐ½Ð¾Ð³Ð¾ Ð¸Ð·Ð»ÑÑÐµÐ½Ð¸Ñ ÑÐ°Ð´Ð¸Ð¾ Ð¸ Ð¸Ð½ÑÑÐ°ÐºÑÐ°ÑÐ½Ð¾Ð³Ð¾ Ð´Ð¸Ð°Ð¿Ð°Ð·Ð¾Ð½Ð° ÑÐ¸Ð»Ð¸Ð½Ð´ÑÐ¸ÑÐµÑÐºÐ¾Ð¹ Ð°Ð½Ð¸Ð·Ð¾ÑÑÐ¾Ð¿Ð½Ð¾Ð¹ ÑÐ°ÑÑÐ¸ÑÐµÐ¹ Ð¸ ÑÐ¸ÑÑÐµÐ¼Ð¾Ð¹ ÑÑÐ¸Ñ ÑÐ°ÑÑÐ¸Ñ;
3. ÐÐ±Ð¾ÑÐ½Ð¾Ð²Ð°Ð½Ð¸Ðµ ÑÑÑÐµÐºÑÐ¸Ð²Ð½Ð¾ÑÑÐ¸ Ð¿ÑÐ¸Ð¼ÐµÐ½ÐµÐ½Ð¸Ñ ÑÐ¸Ð»Ð¸Ð½Ð´ÑÐ¸ÑÐµÑÐºÐ¸Ñ Ð°Ð½Ð¸Ð·Ð¾ÑÑÐ¾Ð¿Ð½ÑÑ ÑÐ°ÑÑÐ¸Ñ Ð² ÐºÐ¾Ð¼Ð¿Ð¾Ð·Ð¸ÑÐ½ÑÑ Ð¼Ð°ÑÐµÑÐ¸Ð°Ð»Ð°Ñ Ð² ÑÑÐµÐ»Ñ ÑÐµÑÐ½Ð¾Ð»Ð¾Ð³Ð¸ÑÑ.
ÐÑÐ»Ð¸ ÑÐ°ÑÑÐ¼Ð¾ÑÑÐµÐ½Ñ ÑÐ²Ð¾Ð¹ÑÑÐ²Ð° Ð¿Ð¾Ð³Ð»Ð¾ÑÐµÐ½Ð¸Ñ ÑÐ»ÐµÐºÑÑÐ¾Ð¼Ð°Ð³Ð½Ð¸ÑÐ½ÑÑ Ð²Ð¾Ð»Ð½ ÑÐ°Ð´Ð¸Ð¾ Ð´Ð¸Ð°Ð¿Ð°Ð·Ð¾Ð½Ð° ÑÐ°Ð·Ð»Ð¸ÑÐ½ÑÐ¼Ð¸ ÐºÐ¾Ð¼Ð¿Ð¾Ð·Ð¸ÑÐ½ÑÐ¼Ð¸ ÑÐ°Ð´Ð¸Ð¾Ð¿Ð¾Ð³Ð»Ð¾ÑÐ°ÑÑÐ¸Ð¼Ð¸ Ð¼Ð°ÑÐµÑÐ¸Ð°Ð»Ð°Ð¼Ð¸ Ð¸ Ð¿Ð¾ÐºÑÑÑÐ¸ÑÐ¼Ð¸, Ð² ÑÐ¾Ð¼ ÑÐ¸ÑÐ»Ðµ Ð¸ Ñ ÑÐ³Ð»ÐµÑÐ¾Ð´Ð½ÑÐ¼Ð¸ Ð½Ð°Ð½Ð¾ÑÑÑÐ±ÐºÐ°Ð¼Ð¸.
ÐÑÐ»Ð° ÑÐ°Ð·ÑÐ°Ð±Ð¾ÑÐ°Ð½Ð°Ð½ Ð¼Ð¾Ð´ÐµÐ»Ñ ÑÐ³Ð»ÐµÑÐ¾Ð´Ð½Ð¾Ð¹ Ð½Ð°Ð½Ð¾ÑÑÑÐ±ÐºÐ¸ Ð¸ ÑÐ°ÑÑÐ¸ÑÐ°Ð½Ñ ÑÐµÑÐµÐ½Ð¸Ñ ÑÐ°ÑÑÐµÑÐ½Ð¸Ñ Ð¸ ÑÐµÑÐµÐ½Ð¸Ñ Ð¿Ð¾Ð³Ð»Ð¾ÑÐµÐ½Ð¸Ñ ÑÐ»ÐµÐºÑÑÐ¾Ð¼Ð°Ð³Ð½Ð¸ÑÐ½Ð¾Ð¹ Ð²Ð¾Ð»Ð½Ñ Ð¾Ð´Ð½Ð¾Ð¹ ÑÐ³Ð»ÐµÑÐ¾Ð´Ð½Ð¾Ð¹ Ð½Ð°Ð½Ð¾ÑÑÑÐ±ÐºÐ¾Ð¹ Ð¸ ÑÐ¸ÑÑÐµÐ¼Ð¾Ð¹ ÑÐ³Ð»ÐµÑÐ¾Ð´Ð½ÑÑ Ð½Ð°Ð½Ð¾ÑÑÑÐ±Ð¾Ðº, ÑÐ¾ÑÑÐ¾ÑÑÐµÐ¹ Ð¸Ð· Ð´Ð²ÑÑ Ð°Ð½Ð¸Ð·Ð¾ÑÑÐ¾Ð¿Ð½ÑÑ ÑÐ¸Ð»Ð¸Ð½Ð´ÑÐµÑÐµÑÐºÐ¸Ñ Ð½Ð°Ð½Ð¾ÑÐ°ÑÑÐ¸Ñ, Ð¾ÑÐ¸ ÑÐ¸Ð¼Ð¼ÐµÑÑÐ¸Ð¸ ÐºÐ¾ÑÐ¾ÑÑÑ Ð¿Ð°ÑÐ°Ð»Ð»ÐµÐ»ÑÐ½Ñ Ð´ÑÑÐ³ Ð´ÑÑÐ³Ñ. Ð Ð°ÑÑÐµÑ ÑÐµÑÐµÐ½Ð¸Ð¹ ÑÐ°ÑÑÐµÑÐ½Ð¸Ñ Ð¸ ÑÐµÑÐµÐ½Ð¸Ð¹ Ð¿Ð¾Ð³Ð»Ð¾ÑÐµÐ½Ð¸Ñ ÑÐ»ÐµÐºÑÑÐ¾Ð¼Ð°Ð³Ð½Ð¸ÑÐ½Ð¾Ð¹ Ð²Ð¾Ð»Ð½Ñ Ð¿ÑÐ¾Ð²Ð¾Ð´Ð¸Ð»ÑÑ Ð¼ÐµÑÐ¾Ð´Ð¾Ð¼ Ð¼Ð¾Ð´ÐµÐ»Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ñ discrete dipole approximation (DDA) Ñ Ð¿Ð¾Ð¼Ð¾ÑÑÑ Ð¿ÑÐ¾Ð³ÑÐ°Ð¼Ð½Ð¾Ð³Ð¾ Ð¾Ð±ÐµÑÐ¿ÐµÑÐµÐ½Ð¸Ñ MATLAB.
Ð ÑÐµÐ·ÑÐ»ÑÑÐ°ÑÐµ Ð±ÑÐ»Ð¸ Ð¿Ð¾Ð»ÑÑÐµÐ½Ñ Ð·Ð°Ð²Ð¸ÑÐ¸Ð¼Ð¾ÑÑÐ¸ ÑÐµÑÐµÐ½Ð¸Ð¹ ÑÐ°ÑÑÐµÑÐ½Ð¸Ñ Ð¸ ÑÐµÑÐµÐ½Ð¸Ð¹ Ð¿Ð¾Ð³Ð»Ð¾ÑÐµÐ½Ð¸Ñ ÑÐ»ÐµÐºÑÑÐ¾Ð¼Ð°Ð³Ð½Ð¸Ð½ÑÐ¾Ð¹ Ð²Ð¾Ð»Ð½Ñ Ð¾Ñ ÐµÑ ÑÐ°ÑÑÐ¾ÑÑ Ð´Ð»Ñ Ð¾Ð´Ð½Ð¾Ð¹ ÑÐ³Ð»ÐµÑÐ¾Ð´Ð½Ð¾Ð¹ Ð½Ð°Ð½Ð¾ÑÑÑÐ±ÐºÐ¸ Ð¸ Ð´Ð»Ñ Ð´Ð²ÑÑ Ð²Ð·Ð°Ð¸Ð¼Ð¾Ð´ÐµÐ¹ÑÑÐ²ÑÑÑÐ¸Ñ Ð½Ð°Ð½Ð¾ÑÑÑÐ±Ð¾Ðº. ÐÑÐ»Ð¸ Ð¿ÑÐ¾Ð°Ð½Ð°Ð»Ð¸Ð·Ð¸ÑÐ¾Ð²Ð°Ð½Ñ Ð·Ð°Ð²Ð¸ÑÐ¸Ð¼Ð¾ÑÑÐ¸ ÑÐµÑÐµÐ½Ð¸Ð¹ ÑÐ°ÑÑÐµÑÐ½Ð¸Ñ Ð¸ ÑÐµÑÐµÐ½Ð¸Ð¹ Ð¿Ð¾Ð³Ð»Ð¾ÑÐµÐ½Ð¸Ñ Ð¾Ñ Ð´Ð»Ð¸Ð½Ñ ÑÐ³Ð»ÐµÑÐ¾Ð´Ð½Ð¾Ð¹ Ð½Ð°Ð½Ð¾ÑÑÑÐ±ÐºÐ¸ Ð´Ð»Ñ Ð¾Ð´Ð½Ð¾Ð¹ Ð½Ð°Ð½Ð¾ÑÐ°ÑÑÐ¸ÑÑ Ð¸ Ð¾Ñ ÑÐ°ÑÑÑÐ¾ÑÐ½Ð¸Ñ Ð¼ÐµÐ¶Ð´Ñ Ð½Ð°Ð½Ð¾ÑÑÑÐ±ÐºÐ°Ð¼Ð¸ Ð´Ð»Ñ Ð´Ð²ÑÑ Ð²Ð·Ð°Ð¸Ð¼Ð¾Ð´ÐµÐ¹ÑÑÐ²ÑÑÑÐ¸Ñ Ð½Ð°Ð½Ð¾ÑÐ°ÑÑÐ¸Ñ.
description: This work is devoted to the study of scattering and absorption of the electromagnetic wave of the radio range and infrared range by a cylindrical anisotropic nanoparticle. Tasks that were solved during the study:
1. Development of a physical model for the interaction of cylindrical anisotropic particles with electromagnetic radiation in the radio and infrared radiation spectra;
2. Computer simulation of absorption and scattering of electromagnetic radiation of radio and infrared by a cylindrical anisotropic particle and a system of these particles;
3. Justification of the effectiveness of the use of cylindrical anisotropic particles in composite materials in stealth technologies.
The properties of absorbing electromagnetic waves, as well as various radar absorbing materials and coatings, including those with carbon nanotubes, were considered.
A carbon nanotube model was developed and the scattering and electromagnetic absorption cross sections of a single carbon nanotube and a carbon nanotube system consisting of two anisotropic cylinders whose symmetry axes are parallel to each other were calculated. The scattering cross sections and the absorption cross sections of the electromagnetic wave were calculated using the discrete dipole approximation (DDA) simulation method using MATLAB software.
As a result, we obtained the dependences of the scattering cross sections and the absorption cross sections of the electromagnet wave on its frequency for one carbon nanotube and for two interacting nanotubes. The dependences of the scattering and absorption cross sections on the length of a carbon nanotube for one nanoparticle and on the distance between nanotubes for two interacting nanoparticles were analyzed.