Ільїн М. В., Кондратьєв І. Г., Смирнов А. І. Інститут прикладної фізики РАН Вул. Ульянова, д. 46, Нижній Новгород – 603950, Росія Тел.: +7 (8312) 164853; e-mail: smirnov@appl.sci-nnov.ru

Рис. 1. Залежність поляризуемости наночастинок срібла від довжини хвилі.

Fig. 1. Dependence of poiarizabiiity of silver nanoparticles on the wavelength

де k =-J ¥, dx і dy – Періоди решітки, а функція з

4J(dx ,dy), Що описує колективну поведінку диполів, має наступний вигляд:

3)

б)

Рис. 2. Залежності від довжини хвилі коефіцієнтів: а) відображення і б) проходження при різних періодах решітки.

Fig. 2. Dependence of reflectivity (a) and transmittivity

(b)     on the wavelength for different grating periods

IV. Список літератури

[1]    Malynych S., Lurinov I., Chumanov G. Phys. Chem.,106, 2002, pp. 1280-1282.

[2]    Malynych S., Robuck H., Chumanov G. Nano Letters, 1,

2001,    pp. 647-649.

[3]     Garnett J. G. M. Phlos. Trans. R. Sol. Lond.,1904, v. 203, pp. 385; 1906, v. 205.

[4] HuebnerR. H., Arakawa E. Т., McRae R. A. Hamm R. N. Optical Constants of Vacuum-Evaporated Silver Films. J. Opt.Soc. Am., 1964, v. 54, pp. 1434.

[5]    Knight P. Synthesizing The Radiation Pattern of Ring Aerial. Industrial Electron., 1963, V. 1, No. 10, pp. 538-543.

COHERENT LIGHT SCATTERING ON PLANE GRATINGS OF SILVER NANOPARTICLES

Ilyin N. V., Kondratyev I. G., Smirnov A. I.

Institute of Applied Physics Russian Academy of Sciences 46, Ulianov Street, Nizhniy Novgorod – 603950, Russia Tel.: +7 (8312) 164853 e-mail: smirnov@appl.sci-nnov.ru

Abstract – A model is proposed to describe resonance effects, which take place when light is scattered on plane singlelayer structures of silver nanoparticles in the framework of the dipole approximation.

I.  Introduction

Two-dimensional gratings made of silver nanoparticles deposited on a rubber substrate reveal unexpected properties when irradiated with visible light [1, 2]. When such gratings are compressed, one observes resonant growth of reflectivity and reduction of transmittivity, whereas their stretching results in lower values of the resonance Q-factor and appearance of a new resonance in a longer-wave spectral region. This paper deals with theoretical interpretation for some of existing experimental data.

II.  Main part

As a model, we consider a periodic two-dimensional structure of silver nanoparticles, onto which a plane electromagnetic wave falls in the normal direction. By analogy with the Maxwell- Garnett theory [3] we will take into consideration only the dipole interaction between metal inclusions having replaced them with

point dipoles, P=CC (A^) ED (where ED is affecting field, and Aq is wavelength) with polarizability а (Л0)■ Dependences of

Rea and Ima on the wavelength, , are shown in Fig. 1.

The field (ED) that affects a preset dipole is a combination of the incident field and the fields created by other dipoles.

Knowing Ed, one can find the values of power reflectivity and transmittivity. The results of the performed calculations are shown in Fig. 2. Hence, it is seen that when a grating is compressed, we observe resonant growth of reflectivity and reduction of transmittivity.

III.  Conclusion

Thus, the model proposed takes into consideration the di- pole-dipole interaction and explains some experimental results associated with blurring of the resonance when the distance between the silver nanoparticles is made longer.

Джерело: Матеріали Міжнародної Кримської конференції «СВЧ-техніка і телекомунікаційні технології»