2015-12-31
Polarizability Tensor Calculation Using Induced Charge and Current Distributions
By
Progress In Electromagnetics Research M, Vol. 45, 123-130, 2016
Abstract
We develop a semi-analytical approach to calculate the polarizability tensors of an arbitrary scatterer. The approach is based on numerical integration from induced charges and currents on the scatterer. By taking the advantages of the present approach, we calculate the polarizability tensors of any arbitrary scatterer in a homogeneous isotropic medium. This approach, in comparison to other reported approaches, is simple, easily implemented, and does not require spherical harmonic expansion or complicated far- eld calculations. We examine the validity of the approach using several examples and compare the results with other approaches.
Citation
Mohammad Yazdi, and Nader Komjani, "Polarizability Tensor Calculation Using Induced Charge and Current Distributions," Progress In Electromagnetics Research M, Vol. 45, 123-130, 2016.
doi:10.2528/PIERM15092502
References

1. Serdyukov, A. N., I. V. Semchenko, S. A. Tretyakov, and A. Sihvola, Electro-magnetics of Bianisotropic Materials: Theory and Applications, Gordon and Breach Science Publishers, 2001.

2. Tretyakov, S., Analytical Modeling in Applied Electromagnetics, Artech House, 2003.

3. Tretyakov, S. A., F. Mariotte, C. R. Simovski, T. G. Kharina, and J. P. Heliot, "Analytical antenna model for chiral scatterers: Comparison with numerical and experimental data," IEEE Trans. Antennas Propag., Vol. 44, No. 7, 1006-1014, 1996.
doi:10.1109/8.504309        Google Scholar

4. Mirmoosa, M. S., Y. Raadi, V. S. Asadchy C. R. Simovski, and S. A. Tretyakov, "Polarizabilities of nonreciprocal bianisotropic particles," Phys. Rev. Applied., Vol. 1, No. 3, 034005, 2014.
doi:10.1103/PhysRevApplied.1.034005        Google Scholar

5. Alaee, R., M. Albooyeh, M. Yazdi, N. Komjani, C. Simovski, F. Lederer, and C. Rockstuhl, "Magnetoelectric coupling in nonidentical plasmonic nanoparticles: Theory and applications," Phys. Rev. B, Vol. 91, 2015.        Google Scholar

6. Arango, F. B. and A. F. Koenderink, "Polarizability tensor retrieval for magnetic and plasmonic antenna design," New Journal of Physics, Vol. 15, 2013.        Google Scholar

7. Ishimaru, A., S. W. Lee, Y. Kuga, and V. Jandhyala, "Generalized constitutive relations for metamaterials based on the quasi-static Lorentz theory," IEEE Trans. Antennas Propag., Vol. 51, No. 10, 2550-2557, 2003.
doi:10.1109/TAP.2003.817565        Google Scholar

8. Ishimaru, A., Electromagnetic Wave Propagation, Radiation, and Scattering, Prentice Hall, 1991.

9. Simovski, C. R., S. A. Tretyakov, A. A. Sochava, B. Sauviac, F. Mariotte, and T. G. Kharina, "Antenna model for conductive omega particles," Journal of Electromagnetic Waves and Applications, Vol. 11, No. 11, 1509-1530, 1997.
doi:10.1163/156939397X00567        Google Scholar

10. Terekhov, Y. E., A. V. Zhuravlev, and G. V. Belokopytov, "The polarizability matrix of split ring resonators," Moscow University Physics Bulletin, Vol. 3, 254-259, 2011.
doi:10.3103/S0027134911030222        Google Scholar

11. Bohren, C. F. and D. R. Huffman, Absoption and Scattering of Light by Small Particles, 1st Ed., Wiley, 1983.

12. Asadchy, V. S., I. A. Faniayeu, Y. Radi, and S. A. Tretyakov, "Determining polarizability tensors for an arbitrary small electromagnetic scatterer," Photonics and Nanostructures, Vol. 12, 298-304, 2014.
doi:10.1016/j.photonics.2014.04.004        Google Scholar

13. Raab, R. E. and O. L. DeLange, Multipole Theory in Electromagnetism: Classical, Quantum, and Symmetry Aspects, with Applications, Clarendon Press, 2004.

14. Viitanen, A. J. and I. V. Lindell, "Chiral slab polarization transformer for aperture antennas," IEEE Trans. Antennas Propag., Vol. 46, No. 9, 1395-1397, 1998.
doi:10.1109/8.719989        Google Scholar

15. Pendry, J. B., "A chiral route to negative refraction," Science, Vol. 306, 1353-1355, 2004.
doi:10.1126/science.1104467        Google Scholar

16. Jin, Y. and S. He, "Focusing by a slab of chiral medium," Opt. Express, Vol. 13, No. 13, 4974-4979, 2005.
doi:10.1364/OPEX.13.004974        Google Scholar

17. William, B. and T. Kelvin, Baltimore Lectures on Molecular Dynamics and the Wave Theory of Light, C. J. Clay and Sons, 1904.

18. Landau, L. D. and E. M. Lifshitz, Electrodynamics of Continuous Media, Pergmon Press, 1963.

19. Mühlig, S., C. Menzel, C. Rockstuhl, and F. Lederer, "Multipole analysis of meta-atoms," Metamaterials, Vol. 5, 2011.        Google Scholar

20. Johnson, P. B. and R. W. Christy, "Optical Constants of the Noble Metals," Phys. Rev. B, Vol. 6, 4370-4379, 1972.
doi:10.1103/PhysRevB.6.4370        Google Scholar