Vol. 14

Front:[PDF file] Back:[PDF file]
Latest Volume
All Volumes
All Issues
2010-05-03

A Novel Duality Between Permeability and Permittivity in a Concentric Sphere

By Noushin Vaseghi, Ali Abdolali, and Homayoon Oraizi
Progress In Electromagnetics Research Letters, Vol. 14, 91-100, 2010
doi:10.2528/PIERL10022104

Abstract

Consider a TEM plane wave incident on a spherical multilayer structure, then the following theorem is valid. This theorem reveals a duality between permeability and permittivity of media in a spherical multilayer structure. Theorem: Consider a sphere with arbitrary radius and parameters s (ε22) surrounded by a homogenous medium with parameters (ε11). Then consider the case that each medium is filled by its dual medium according to the interchange εi↔μi. Then, the forward and backward radar cross sections of the structure are the same for the two dual cases. However, in half planes φ=((2k+1)π)/4;(k=0,1,2,3), the interchange εi↔μi has no similar effect on the value of the radar cross section.

Citation


Noushin Vaseghi, Ali Abdolali, and Homayoon Oraizi, "A Novel Duality Between Permeability and Permittivity in a Concentric Sphere," Progress In Electromagnetics Research Letters, Vol. 14, 91-100, 2010.
doi:10.2528/PIERL10022104
http://www.jpier.org/PIERL/pier.php?paper=10022104

References


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

    2. Oraizi, H. and A. Abdolali, "Ultra wide band RCS optimization of multilayerd cylinderical structures for arbitrarily polarized incident plane waves ," Progress In Electromagnetics Research, Vol. 78, 129-157, 2008.
    doi:10.2528/PIER07090305

    3. Alu, A. and N. Engheta, "Polarizabilities and effective parameters for collections of spherical nano-particles formed by pairs of concentric double-negative (DNG), single-negative (SNG) and/or double-positive (DPS) metamaterial layers ," J. Appl. Phys., Vol. 97, No. 094310, 1-12, 2005.

    4. Oraizi, H. and A. Abdolali, "Mathematical formulation for zero refection from multilayer metamaterial structures and their notable applications," IET Microwaves, Antennas and Propagation Journal, Vol. 3, No. 6, 987-996, 2009.
    doi:10.1049/iet-map.2008.0281

    5. Oraizi, H. and A. Abdolali, "Combination of MLS, GA & CG for the reduction of RCS of multilayered cylindrical structures composed of dispersive metamaterials ," Progress In Electromagnetic Research B, Vol. 3, 227-253, 2008.
    doi:10.2528/PIERB07120803

    6. Manzanares-Martinez, J. and J. Gaspar-Armenta, "Direct integration of the constitutive relations for modeling dispersive metamaterials using the finite diference time-domain technique," Journal of Electromagnetic Waves and Applications, Vol. 21, No. 15, 2297-2310, 2007.
    doi:10.1163/156939307783134452

    7. Oraizi, H., A. Abdolali, and N. Vaseghi, "Application of double zero metamaterials as radar absorbing materials for the reduction of radar cross section ," Progress In Electromagnetics Research, Vol. 101, 323-337, 2010.
    doi:10.2528/PIER10010603

    8. Engheta, N. and R. Ziolkowski, "Metamaterials: Physics and Engineering Explorations," Wiley-IEEE Press, 2006.

    9. Sihvola, A., "Metamaterials in electromagnetics," Metamaterials, Vol. 1, No. 1, 2-11, 2007.
    doi:10.1016/j.metmat.2007.02.003

    10. Chen, H., B. I. Wu, and J. A. Kong, "Review of electromagnetic theory in left-handed materials," Journal of Electromagnetic Waves and Applications, Vol. 20, No. 15, 2137-2151, 2006.
    doi:10.1163/156939306779322585

    11. Ziolkowski, R. W. and A. D. Kipple, "Causality and doublenegative metamaterials," Phys. Rev. E, Vol. 68, 026615, 2003.
    doi:10.1103/PhysRevE.68.026615

    12. Qiu, C. W., L. W. Li, T. S. Yeo, and S. Zouhdi, "Scattering by rotationally symmetric anisotropic spheres: Potential formulation and parametric studies," Phys. Rev. E, Vol. 75, 026609, 2007.
    doi:10.1103/PhysRevE.75.026609

    13. Lukyanchuk, B. S. and C. W. Qiu, "Enhanced scattering efficiencies in spherical particles with weakly dissipating anisotropic materials," Appl. Phys. A, Vol. 92, 773, 2008.
    doi:10.1007/s00339-008-4572-5

    14. Uslenghi, P. L. E., "Exact scattering by isorefractive bodies," IEEE Trans. on Antennas and Propagation, Vol. 45, No. 9, 1382-1385, 1997.
    doi:10.1109/8.623127