Journal ArticleDOI
New closed-form Green's functions for microstrip structures - theory and results
Yuehe Ge,Karu P. Esselle +1 more
TLDR
In this paper, the generalized pencil of function method was used to evaluate the Green's functions of single-layer and multilayer structures, and closed-form expressions for the method-of-moments matrix coefficients were obtained.Abstract:
This paper presents an efficient technique to evaluate the Green's functions of single-layer and multilayer structures. Using the generalized pencil of function method, a Green's function in the spectral domain is accurately approximated by a short series of exponentials, which represent images in spatial domain. New compact closed-form spatial-domain Green's functions are found from these images using several semi-infinite integrals of Bessel functions. With the numerical integration of the Sommerfeld integrals avoided, this method has the advantages of speed and simplicity over numerical techniques, and it leads to closed-form expressions for the method-of-moments matrix coefficients. Numerical examples are given and compared with those from numerical integration.read more
Citations
More filters
Journal ArticleDOI
Singularity subtraction for evaluation of Green's functions for multilayer media
TL;DR: In this paper, a special subtraction procedure is applied to each term of the Sommerfeld integrands to make them rapidly decreasing functions of krho, and the contributions of the subtracted terms are calculated analytically.
Journal ArticleDOI
Closed-Form Green's Functions in Planar Layered Media for All Ranges and Materials
TL;DR: In this paper, an extension of the two-level discrete complex image method is proposed to eliminate any concerns on and shortcomings of the approximations of the spatial-domain Green's functions in closed form in planar multilayered media.
Journal ArticleDOI
A direct discrete complex image method from the closed-form Green's functions in multilayered media
TL;DR: A new direct DCIM without any quasi-static and surface-wave extraction is introduced and a novel path to include more variation before the MPM is introduced to avoid large variations of the spectral kernel.
Journal ArticleDOI
Application of Total Least Squares to the Derivation of Closed-Form Green's Functions for Planar Layered Media
TL;DR: In this article, the spectral-domain Green's functions are approximated by an asymptotic term plus a ratio of two polynomials, the coefficients of these two coefficients being determined via the method of total least squares.
Journal ArticleDOI
Computation of the Sommerfeld Integral tails using the matrix pencil method
Mengtao Yuan,Tapan K. Sarkar +1 more
TL;DR: A new and better technique is proposed to obtain accurate results for the computation of the Green's function for a layered media in the spatial domain using the matrix pencil method.
References
More filters
Journal ArticleDOI
A robust approach for the derivation of closed-form Green's functions
TL;DR: In this article, the spectral-domain Green's functions for multilayer, planar geometries are cast into closed forms with two-level approximation of the spectral domain representation of the Green's function.
Journal ArticleDOI
Discrete image theory for horizontal electric dipoles in a multilayered medium
D.G. Fang,J.J. Yang,G.Y. Delisle +2 more
TL;DR: In this paper, the authors evaluated the Sommerfeld integrals that appear in the rigorous analysis of radiating objects embedded in a layered medium, and examined the validity of the image theory by the method of numerical integration.
Book ChapterDOI
A Dynamical Radiation Model for Microstrip Structures
Juan R. Mosig,Fred E. Gardiol +1 more
TL;DR: The chapter concludes the model is that the surface currents on the antenna are directly determined and the near field can then be determined easily, that becomes most important when microstrip structures are utilized as radiators or biological applicators.
Journal ArticleDOI
Comparison of Quasi-Static and Exact Electromagnetic Fields from a Horizontal Electric Dipole Above a Lossy Dielectric Backed by an Imperfect Ground Plane
Juan R. Mosig,Tapan K. Sarkar +1 more
TL;DR: In this article, the authors derived the expressions for the fields for a horizontal electric dipole over a Iossy dielectric medium backed by an imperfect ground plane, and showed that fields at the air-dielectric interface are independent of the ground plane conductivity.
Journal ArticleDOI
An asymptotic closed-form microstrip surface Green's function for the efficient moment method analysis of mutual coupling in microstrip antennas
TL;DR: In this article, a relatively simple closed-form asymptotic representation for the single-layer microstrip dyadic surface Green's function is developed, which is surprisingly accurate even for very small (a few tenths of a free-space wavelength) lateral separation of the source and field points along the air-dielectric interface.