On the Asymptotics of Sommerfeld Integrals Over an Impedance Plane

In this communication, the asymptotic expressions for Sommerfeld integrals (SIs) over an impedance plane are studied, since the impedance boundary condition (IBC) is a widely used simplification of many discontinuous interfaces. Based on the single image representation of SI, it is found that the fa...

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Bibliographic Details
Published inIEEE transactions on antennas and propagation Vol. 68; no. 4; pp. 3318 - 3322
Main Authors Wu, Bi-Yi, Sheng, Xin-Qing
Format Journal Article
LanguageEnglish
Published New York IEEE 01.04.2020
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects
Antennas
Asymptotic properties
Boundary conditions
Convergence
Dielectrics
Fresnel integral
Fresnel integrals
Green's function methods
Impedance
impedance boundary
Integral equations
Integrals
Silicon
Sommerfeld integral
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Summary:In this communication, the asymptotic expressions for Sommerfeld integrals (SIs) over an impedance plane are studied, since the impedance boundary condition (IBC) is a widely used simplification of many discontinuous interfaces. Based on the single image representation of SI, it is found that the far-field asymptotics of SIs can be written in forms of the well-known Fresnel integrals. A simple high-order approximation to the SI is derived, the accuracy and convergence behavior are numerically investigated. The behavior difference for SIs associated with different polarizations in some special cases is also analyzed.
ISSN:0018-926X
1558-2221
DOI:10.1109/TAP.2019.2943332