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THE EFFECTIVE MEDIUM THEORY AS A TOOL FOR ANALYZING THE OPTICAL PROPERTIES OF NANOCOMPOSITES

https://doi.org/10.32362/2500-316X-2018-6-2-56-66

Abstract

The spectral dependence of the dielectric permittivity of a nanocomposite sample in the near-IR range was investigated. Nanocomposites are inhomogeneous structures in which metal granules are placed in a semiconductor or dielectric matrix. Methods of effective medium are used to describe the optical and magneto-optical properties of nanocomposites. In such structures the existence of giant and tunnel magnetoresistance, giant anomalous Hall effect, large magneto-optical activity and anomalous optical absorption is possible. These effects are of both fundamental and practical interest. Using the Fresnel formula, the spectral dependences of the reflection and transmission coefficients of p-polarized light were constructed. The singular points of the given spectral dependences at λ = 1 and 4 μm were found and discussed. The composition of the nanocomposite (Cu + Si) was determined. The model spectral dependences of the dielectric constant for this nanocomposite were constructed. A good qualitative and quantitative agreement of the experimental and model spectral dependences was observed. The dielectric permittivity values for Cu + Si nanocomposite were calculated by the Maxwell-Garnett method. To date, there are several methods for describing the effective environment of a nanocomposite. The main approximation in the case of a small concentration of the metal component is the Maxwell-Garnett effective medium method, which describes the structure by means of the effective dielectric constant εeff. For medium concentrations the approach of Bruggeman is used. In the case of arbitrary concentrations, the symmetrized Maxwell-Garnett approximation works well. Since the concentration of the metal component was determined in our work, which is 7%, the method of Maxwell-Garnett effective medium method was chosen. The analysis carried out in the article makes it possible to predict the optical properties of any nanocomposite, which is important for the selection of materials with specified properties. The possibilities of using nanocomposites are discussed.

About the Authors

A. N. Yurasov
Moscow Technological University (MIREA)
Russian Federation


M. M. Yashin
Bauman Moscow State Technical University
Russian Federation


References

1. Yurasov A.N. Magnetorefractive effect as contactless method for investigation of functional materials // Materialovedenie (Materials Science). 2014. № 6. P. 32–38. (in Russ.).

2. Sukhorukov Yu.P., Telegin A.V., Bessonov V.D., Gan’shina E.A., Kaul’ A.R., Korsakov I.E., Perov N.S., Fetisov L.Yu., Yurasov A.N. Magnetorefractive effect in the La1–xKx MnO3 thin films grown by MOCVD // J. Magnetism and Magnetic Materials. 2014. V. 367. P. 53–59.

3. Buravtsova V., Gan’shina E., Lebedeva E., Syr’ev N., Trofimenko I., Vyzulin S., Shipkova I., Phonghirun S., Kalinin Yu., Sitnikov A. The features of TKE and FMR in nanocomposites-193 semiconductors multilayers // Solid State Phenomena. 2011. V. 168-169. P. 533–536.

4. Hrabovský D., Caicedo J.M., Herranz G., Infante I.C., Sánchez F., Fontcuberta J. JahnTeller contribution to the magneto-optical effect in thin-film ferromagnetic manganites // Phys. Rev. B. 2009. V. 79(5). P. 052401-1–052401-4.

5. Bergman L.J. The dielectric constant of a composite material – a problem in classical physics // Phys. Rev. Lett. 1980. V. 44. P. 1285–1287.

6. Gerady J.M., Ausloos M. Absorption spectrum of clusters of spheres from the general solution of Maxwell's equations. The long-wavelength limit // Phys. Rev. B. 1980. V. 22(12). P. 4950–4959.

7. Gerady J.M., Ausloos M. Effects of high polar orders on the infrared absorption spectrum of ionic clusters // Surface Sci. 1981. V. 106. P. 319–326.

8. Antonov V.A., Pshenitsin V.I. Effective permittivity of a heterogeneous system // Optika i spektroskopiya (Optics and Spectroscopy). 1981. V. 50. P. 362–370. (in Russ.).

9. Kasatkin S.I., Vasilyeva N.P., Muraviev A.M. Spintronic magnetoresistive elements and devices based on them. Moscow: Elektroinform Publ., 2005. 168 p. (in Russ.).

10. Xiao J.Q., Jiang J.S., Chien C.L. Giant magnetoresistance in nonmultilayer magnetic systems // Phys. Rev. Lett. 1992. V. 68. P. 3749–3756.

11. Vedyaev A.V., Granovskii A.B., Kalitsev A.V., Brauers F. Anomalous Hall effect in granular alloys // Journal of Experimental and Theoretical Physics. 1997. V. 85. P. 1204–1210.

12. Balabanov V.I. Nanotechnologies. Science of the future. Moscow: Eksmo Publ., 2009. 256 p. (in Russ.).

13. Vyzulin S.A., Gorobinskii A.V., Kalinin Y.E., Sitnikov A.V., Lebedeva E.V., Syr'ev N.E., Trofimenko I.T., Chekrygina Y.I., Shipkova I.G. Ferromagnetic resonance, magnetic properties, and resistivity of (CoFeZr)x (Al2 O3 )1–X /Si multilayer nanostructures // Bulletin of the Russian Academy of Sciences: Physics. 2010. V. 74. № 10. P. 1380–1382.

14. Naik S.R., Rai S., Tiwari M.K., Lodha G.S. Structural asymmetry of Si/Fe and Fe/Si interface in Fe/Si multilayers // J. Phys. D: Appl. Phys. 2008. V. 41. P. 115307–115312.

15. Khanikaev A.B., Granovskii A.B., Clerc J.P. Influence of the size distribution of granules and of their attractive interaction on the percolation threshold in granulated alloys // Physics of the Solid. 2002. V. 44. № 9. P. 1611–1513.

16. Price P.J. Anisotropic conduction in solids near surfaces // IBM J. Res. Develop. 1960. V. 4. P. 152–157.

17. Majewski VM The theory of magneto-optical effects in multilayer systems with an arbitrary orientation of the magnetization // Fizika metallov i metallovedenie (Physics of Metals and Metallography). 1985. V. 59. № 2. P. 213–219 (in Russ.).

18. Bass M., DeCusatis C., Enoch J.M., Lakshminarayanan V., Li G., MacDonald C., Mahajan V.N., Van Stryland E. Handbook of optics: Third Edition. Vol. IV: Optical properties of materials, nonlinear optics, quantum optics. McGraw-Hill Education, 2009. V. 4. 1152 р.

19. Gorelik1 V.S., Yashin M.M., Vodchits A.I., Reflection spectra of 1D photonic crystals based on aluminum oxide // Physics of Wave Phenomena. 2017. V. 25. № 3. P. 175–179.

20. Gorelik V.S., Yashin M.M. Narrow-band filters in the visible spectral range based on porous photonic crystal // Vestnik Moskovskogo gosudarstvennogo universitata imeni N.E. Baumana, Estestv. nauki (Herald of the Bauman Moscow State Tech. Univ., Nat. Sci.). 2016. № 5. P. 105–114. (in Russ.).

21. Sushko M.Y., Kriskiv S.K. Compact group method in the theory of permittivity of heterogeneous systems // Technical Physics. The Russian Journal of Applied Physics. 2009. V. 54. № 3. P. 423–427.

22. Granovsky A.B., Gan’shina E.A., Vinogradov A.N., Rodin I.K., Yurasov A.N., Khan H.R. Magnetooptical spectra of ferromagnetic Co-CoO composites // Physics of Metals and Metallography. 2001. V. 91. № 1 suppl. S52– S55.


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For citations:


Yurasov A.N., Yashin M.M. THE EFFECTIVE MEDIUM THEORY AS A TOOL FOR ANALYZING THE OPTICAL PROPERTIES OF NANOCOMPOSITES. Russian Technological Journal. 2018;6(2):56-66. (In Russ.) https://doi.org/10.32362/2500-316X-2018-6-2-56-66

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