volume | PIER Journals

Abstract

Scattering of electromagnetic radiation by a charged homogeneous spherical particle/body is treated. Theoretical solution represents a generalization of the Mie's scattering theory for electrically neutral sphere. It is shown that classical and quantum physics approaches may lead to different conclusions, as documented by numerical computations assuming various permeabilities, refractive indices, surface charges, temperatures, and other physical parameters of the spherical particles. Two discrete wavelengths (5 μm and 1mm) of the incident radiation are considered. Optical properties of charged particles composed of absorbing and slightly absorbing materials can essentially differ. Especially, the resonance peaks typically occur when imaginary part of particle refractive index is low. The relative permeability of a material may differ from unity at large wavelengths, e.g., in microwave region. Basically, the relative permeability appears to be less important factor than the surface charge. However, the permeability can influence the scattering and extinction efficiencies, as well as the backscattering features of small particles, under some conditions.

1. Mie, G., "Beitrage zur optik trűber medien speziell kolloidaler metalősungen," Ann. Phys., Vol. 25, 377-445, 1908. Google Scholar

2. Bohren, C. F. and A. J. Hunt, "Scattering of electromagnetic waves by a charged sphere," Can. J. Phys., Vol. 55, 1930-1935, 1977. Google Scholar

3. Klačka, J. and M. Kocifaj, "Scattering of electromagnetic waves by charged spheres and some physical consequences," J. Quant. Spectroscopy & Radiative Transfer, Vol. 106, 170-183, 2007. Google Scholar

4. Pillai, S. O., Solid State Physics, 6 Ed., New Age Science, Tunbridge Wells, Kent, UK, 2010.

5. Heifetz, A., H. T. Chien, S. Liao, N. Gopalsami, and A. C. Raptis, "Millimeter wave scattering from neutral and charged water droplets," J. Quant. Spectroscopy & Radiative Transfer, 2010, doi:10.1016/j.jqsrt.2010.08.001. Google Scholar

6. Mishchenko, M., L. D. Travis, and A. A. Lacis, Scattering, Absorption and Emission of Light by Small Particles, Cambridge University Press, Cambridge, UK, 2002.

7. Mishchenko, M. I., "Far-field approximation in electromagnetic scattering," J. Quant. Spectroscopy & Radiative Transfer, Vol. 100, 268-276, 2006. Google Scholar

8. Harada, Y. and T. Asakura, "Radiation forces on a dielectric sphere in the Rayleigh scattering regime," Optics Comm., Vol. 124, 529-541, 1996. Google Scholar

9. Rosenkrantz, E. and S. Arnon, "Enhanced absorption of light by charged nanoparticles," Opt. Lett., Vol. 35, 1178-1180, 2010. Google Scholar

10. Dressel, M. and G. Grüner, Electrodynamics of Solids: Optical Properties of Electrons in Matter, Cambridge University Press, Cambridge, UK, 2002.

11. Meschede, D., Optics Light and Lasers, 2 Ed., 88, Wiley-VCH Verlag, Weinheim, 2007.

12. Giaquinta, M. and G. Modica, Mathematical Analysis: An Introduction to Functions of Several Variables, 227-228, Birkhäuser, a Part of Springer Science+Business Media, LLC, Boston, 2009.

13. Lyle, S. N., Self-Force and Inertia: Old Light on New Ideas, Springer-Verlag, Berlin, 2010.

14. Klačka, J., "Electromagnetic radiation, motion of a particle and energy-mass relation,", arXiv: astro-ph/0807.2915, 2008. Google Scholar

15. Sabah, C. and S. Uckun, "Multilayer system of Lorentz/Drude type metamaterials with dielectric slab and its application to electromagnetic filters," Progress In Electromagnetic Research, Vol. 91, 349-364, 2009. Google Scholar

16. Koledintseva, M.-Y., R.-E. DuBroff, R.-W. Schwarts, and J.-L. Drewniak, "Double statistical distribution of conductivity and aspect ratio of inclusions in dielectric mixtures at microwave frequencies," Progress In Electromagnetic Research, Vol. 77, 193-214, 2007. Google Scholar

17. He, S., Z. Nie, and J. Hu, "Numerical solution of scattering from thin dielectric-coated conductors based on TDS approximation and EM boundary conditions," Progress In Electromagnetic Research, Vol. 93, 339-354, 2009. Google Scholar

18. Sha, W.-E.-I. and W.-C. Chew, "High frequency scattering by an impenetrable sphere," Progress In Electromagnetic Research, Vol. 97, 291-325, 2009. Google Scholar

19. Censor, D., "Relativistic electrodynamics: Various postulate and ratiocination frameworks," Progress In Electromagnetic Research, Vol. 52, 301-320, 2005. Google Scholar

Dr. J. Klacka

Dr. Miroslav Kocifaj