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2008-09-08
On Measuring the Permittivity Tensor of an Anisotropic Material from the Transmission Coefficients
By
Progress In Electromagnetics Research B, Vol. 9, 105-116, 2008
Abstract
The permittivity tensor of an anisotropic material can be predicted with use of the presented technique. A slab of this substance possessing infinitesimal thickness is illuminated by a normally incident plane wave and rigorous expressions for the transmission coefficients are obtained. The derived formulas are linearly expanded with respect to the small thickness of the slice, while simple approximations of the material permittivities are produced by measuring the transmission coefficients for suitable polarizations. These simplified expressions provide a physical intuition about the use and the function of the anisotropy parameters which cannot be achieved via more precise but also more complex patterns. Some diagrams of the prediction error with respect to the dielectric constants, the size of the slab and the operating frequency are included and discussed.
Citation
Constantinos Valagiannopoulos, "On Measuring the Permittivity Tensor of an Anisotropic Material from the Transmission Coefficients," Progress In Electromagnetics Research B, Vol. 9, 105-116, 2008.
doi:10.2528/PIERB08072005
References

1. Gomes Neto, M. L. C., A. L. P. S. Campos, and A. G. d'Assuncao, "Scattering analysis of frequency-selective surfaces on anisotropic substrates using the Hertz vector-potential method," Microwave and Optical Technology Letters, Vol. 44, 67-71, 2005.
doi:10.1002/mop.20549

2. Valagiannopoulos, C. A., "Study of an electrically anisotropic cylinder excited magnetically by a straight strip line," Progress In Electromagnetic Research, Vol. 73, 297-325, 2007.
doi:10.2528/PIER07041203

3. Kokkorakis, G. C., "Scalar equations for scattering by rotationally symmetric radially inhomogeneous anisotropic sphere," Progress In Electromagnetics Research Letters, Vol. 3, 179-186, 2008.
doi:10.2528/PIERL08022201

4. Wang, M. Y., J. Xu, J. Wu, B. Wei, H. L. Li, T. Xu, and D. B. Ge, "FDTD study on wave propagation in layered structures with biaxial anisotropic metamaterials," Progress In Electromagnetics Research, Vol. 81, 253-265, 2008.
doi:10.2528/PIER07122602

5. Kukharchik, P. D., V. M. Serdyuk, and J. A. Titovitsky, "Diffraction of hybrid modes in a cylindrical cavity resonator by a transverse circular slot with a plane anisotropic dielectric layer," Progress In Electromagnetics Research B, Vol. 3, 73-94, 2008.
doi:10.2528/PIERB07112502

6. Chiu, C.-C. and R.-H. Yang, "Inverse scattering of biaxial cylinders," Microwave and Optical Technology Letters, Vol. 9, 292-302, 1995.
doi:10.1002/mop.4650090518

7. Cui, T. J., C. H. Liang, and W. Wiesbeck, "Closed-form solutions for one-dimensional inhomogeneous anisotropic medium in a special case — Part II: Inverse scattering problem," IEEE Transactions on Antennas and Propagation, Vol. 45, 942-948, 1997.
doi:10.1109/8.585741

8. Sheen, D. and D. Shepelsky, "Inverse scattering problem for a stratified anisotropic slab," Inverse Problem, Vol. 15, 499-514, 1999.
doi:10.1088/0266-5611/15/2/010

9. Chen, X., T. M. Grzegorczyk, and J. A. Kong, "Optimization approach to the retrieval of the constitutive parameters of a slab of general bianisotropic medium," Progress In Electromagnetics Research, Vol. 60, 1-18, 2006.
doi:10.2528/PIER05120601

10. Monzon, J. C. and N. J. Damaskos, "Two-dimensional scattering by a homogeneous anisotropic rod," IEEE Transactions on Antennas and Propagation, Vol. 34, 1243-1249, 1986.
doi:10.1109/TAP.1986.1143739

11. Ren, W. and X. B. Wu, "Application of an eigenfunction representation to the scattering of a plane wave by an anisotropically coated circular cylinder," Journal of Physics D: Applied Physics, Vol. 28, 1031-1039, 1995.
doi:10.1088/0022-3727/28/6/003

12. Born, M. and E. Wolf, Principles of Optics, 666, Eqn. (8), Pergamon Press, Oxford, 1968.