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Analytical Expressions for Spatial-Domain Green’s Functions in Layered Media

Publication Type : Journal Article

Publisher : IEEE Transactions on Antennas and Propagation

Source : IEEE Transactions on Antennas and Propagation, Institute of Electrical and Electronics Engineers Inc., Volume 63, Number 11, p.4944-451 (2015)

Url : http://www.scopus.com/inward/record.url?eid=2-s2.0-84946595325&partnerID=40&md5=f5f3f21d5b9095016edaa2cefe4e00b1

Keywords : Analytical expressions, Closed-form Green's functions, Green's function, Integral equations, Left handed materials, Material parameter, Metamaterials, Multilayered substrates, Numerical integration methods, Numerical methods, Sommerfeld integrals, Spatial-domain Green's function, Structural analysis

Campus : Bengaluru

School : School of Engineering

Department : Electronics and Communication

Year : 2015

Abstract : Accurate and efficient formulas for computing spatial-domain Green's functions are presented in this paper. To apply the formulas, we only require a set of sample points of the spectral-domain Green's function (SDGF) on an integration path avoiding its singularities and an infinite domain tail path. Since the sampling is carried out for the integrand excluding the Bessel function, the number of sample points required is much smaller than the numerical integration method. This aspect of the proposed method proves to be very advantageous for evaluating closed-form Green's functions at large source observer distances. It is shown that the proposed formulas provide accurate results for both the near-and far-field regions as well as a wide range of material parameters such as lossless, lossy, left-handed materials as well as multilayered substrates. © 2015 IEEE.

Cite this Research Publication : Dr. Dhanesh G. Kurup, “Analytical Expressions for Spatial-Domain Green's Functions in Layered Media”, IEEE Transactions on Antennas and Propagation, vol. 63, pp. 4944-451, 2015.

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