# Method for Describing the Angular Distribution of Optical Radiation Scattered by a Monolayer of Ordered Spherical Particles (Normal Illumination)

## Abstract

We have developed a method for describing the angular distribution of intensity of radiation scattered by a monolayer of homogeneous spatially ordered monodisperse spherical particles normally illuminated by a plane circularly polarized electromagnetic wave. The method is based on the quasicrystalline approximation (QCA) of the theory of multiple scattering of waves (TMSW) using the multipole expansion of fields and the tensor Green function in vectorial spherical wavefunctions. The method is applied for analyzing the characteristics of radiation scattered by a partially ordered monolayer and a monolayer with a nonideal lattice. The results of calculations are compared with the available experimental data on the position of the first-order diffraction peak on the angular and spectral dependences of the intensity of radiation scattered by a closely packed monolayer with a nonideal triangular lattice of SiO{sub 2} particles. Good conformity of the results has been established.

- Authors:

- National Academy of Sciences of Belarus, Stepanov Institute of Physics (Belarus)

- Publication Date:

- OSTI Identifier:
- 22750025

- Resource Type:
- Journal Article

- Journal Name:
- Journal of Experimental and Theoretical Physics

- Additional Journal Information:
- Journal Volume: 126; Journal Issue: 2; Other Information: Copyright (c) 2018 Pleiades Publishing, Inc.; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1063-7761

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ANGULAR DISTRIBUTION; ELECTROMAGNETIC RADIATION; GREEN FUNCTION; MULTIPLE SCATTERING; SILICA; SPHERICAL CONFIGURATION; WAVE FUNCTIONS

### Citation Formats

```
Loiko, N. A., E-mail: n.loiko@ifanbel.bas-net.by, Miskevich, A. A., E-mail: miskevic@ifanbel.bas-net.by, and Loiko, V. A., E-mail: loiko@ifanbel.bas-net.by.
```*Method for Describing the Angular Distribution of Optical Radiation Scattered by a Monolayer of Ordered Spherical Particles (Normal Illumination)*. United States: N. p., 2018.
Web. doi:10.1134/S1063776118020139.

```
Loiko, N. A., E-mail: n.loiko@ifanbel.bas-net.by, Miskevich, A. A., E-mail: miskevic@ifanbel.bas-net.by, & Loiko, V. A., E-mail: loiko@ifanbel.bas-net.by.
```*Method for Describing the Angular Distribution of Optical Radiation Scattered by a Monolayer of Ordered Spherical Particles (Normal Illumination)*. United States. doi:10.1134/S1063776118020139.

```
Loiko, N. A., E-mail: n.loiko@ifanbel.bas-net.by, Miskevich, A. A., E-mail: miskevic@ifanbel.bas-net.by, and Loiko, V. A., E-mail: loiko@ifanbel.bas-net.by. Thu .
"Method for Describing the Angular Distribution of Optical Radiation Scattered by a Monolayer of Ordered Spherical Particles (Normal Illumination)". United States. doi:10.1134/S1063776118020139.
```

```
@article{osti_22750025,
```

title = {Method for Describing the Angular Distribution of Optical Radiation Scattered by a Monolayer of Ordered Spherical Particles (Normal Illumination)},

author = {Loiko, N. A., E-mail: n.loiko@ifanbel.bas-net.by and Miskevich, A. A., E-mail: miskevic@ifanbel.bas-net.by and Loiko, V. A., E-mail: loiko@ifanbel.bas-net.by},

abstractNote = {We have developed a method for describing the angular distribution of intensity of radiation scattered by a monolayer of homogeneous spatially ordered monodisperse spherical particles normally illuminated by a plane circularly polarized electromagnetic wave. The method is based on the quasicrystalline approximation (QCA) of the theory of multiple scattering of waves (TMSW) using the multipole expansion of fields and the tensor Green function in vectorial spherical wavefunctions. The method is applied for analyzing the characteristics of radiation scattered by a partially ordered monolayer and a monolayer with a nonideal lattice. The results of calculations are compared with the available experimental data on the position of the first-order diffraction peak on the angular and spectral dependences of the intensity of radiation scattered by a closely packed monolayer with a nonideal triangular lattice of SiO{sub 2} particles. Good conformity of the results has been established.},

doi = {10.1134/S1063776118020139},

journal = {Journal of Experimental and Theoretical Physics},

issn = {1063-7761},

number = 2,

volume = 126,

place = {United States},

year = {2018},

month = {2}

}