Green tensor in material sciences

• Autorzy: Vlcek J. , Otipka P.

Warianty tytułu

CS

Greenů v tenzor v materiálových vědách

• Języki publikacji: EN

Abstrakty

EN

Material properties of heterogeneous nanomaterials modelled by effective medium approximation (EMA) demand specific approaches when metallic inclusions in a host medium are exposed to external magnetic field. Resulting induced anisotropy of permittivity is manifested itself by a specific form of polarizability tensor. In presented work, this one is applied in the so called “strong-couple-dipole” (SCD) method, where the electromagnetic Green tensor is of key importance. The results are oriented to the magneto-plasmonic sensor element design for the use in biology or chemistry.

CS

Modelování materiálových vlastnosti heterogenních nanomateriálu metodou aproximace efektivním prostredím (EMA) vyžaduje specifický prístup, jsou-li kovové cástice v obklopujícím prostredí vystaveny magnetickému poli. Výsledná indukovaná anizotropie permitivity se projevuje specifickou formou tenzoru polarizovatelnosti. Ten je v této práci aplikován prostrednictvím tzv. metody silne vázaných dipólu (SCD), kde se klícovým zpusobem uplatnuje Greenuv (elektromagnetický) tenzor. Výsledky smerují k návrhu magneto-plasmonického senzoru s užitím v bilogii a chemii.

Słowa kluczowe

EN

anisotropy; effective medium; polarizability tensor; Green tensor

PL

anizotropia; tensor polaryzowalności; tensor Greena

• Wydawca: STE GROUP
• Czasopismo: Systemy Wspomagania w Inżynierii Produkcji
• Rocznik: 2017
• Tom: Vol. 6, iss. 4
• Strony: 334--341
• Opis fizyczny: Bibliogr. 7 poz.

Twórcy

autor

Vlcek J.

• VŠB - Technical University of Ostrava, Department of Mathematics and Descriptive Geometry, 17. listopadu 15, 708 33, Ostrava-Poruba, Czech Republic, tel.: [phone]

autor

Otipka P.

• VŠB - Technical University of Ostrava, Department of Mathematics and Descriptive Geometry, 17. listopadu 15, 708 33, Ostrava-Poruba, Czech Republic, tel.: [phone]

Bibliografia

• 1. J. Cui and T. G. Mackay, “Depolarization regions on nonzero volume in bianisotropic homogenized composites”, Waves in Random and Complex Media, 17, 2007, p. 269-281.
• 2. S. Albaladejo et al., “Radiative corrections to the polarizability tensor of an electrically small anisotropic dielectric particle”, Opt. Express, 18, 2010, 3556.
• 3. A. Lakhtakia, “Strong and weak forms of the method of moments and the coupled dipole method for scattering of time-harmonic electromagnetic fields”, Int. J. Mod. Phys., C3, 1992, p. 583-603.
• 4. A. D. Yaghijan, Electric dyadic Green’s function in the source region, Proc. IEEE, 68, 1980, p. 248-263.
• 5. M. Abe, “Derivation of nondiagonal effective dielectric-permeability tensors for magnetized granular composites”, Phys. Rev., B53, 1996, p. 7065-7075.
• 6. O. Levy and E. Cherkaev, “Effective medium approximations for anisotropic composites with arbitrary component orientation”, J. Appl. Phys., 114, 2013, 164102-1-8.
• 7. J. Vlcek, P. Otipka, M. Lesnák, I. Vávra, “Effective medium approximation of anisotropic materials with radiative correction”, Proc. SPIE, Vol. 9502, 2015, 950217.