Complete and Accurate Discrete Complex Image Approximation of Periodic Green's Function in Layered Media

Date

2014-08-01

Author

Adanir, Suleyman
Alatan, Lale

Metadata

Show full item record

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Item Usage Stats

160
views

0
downloads

The periodic Green's functions (PGF) in layered media can be expressed as an infinite series in terms of the spectral domain Green's functions. The discrete complex image method (DCIM) can be used to approximate these spectral domain Green's functions. In this work, it is demonstrated that the complete and accurate DCIM approximation of the PGF is possible only when the DCIM approximation is obtained through the samples of the spectral domain Green's function along the real k(p) axis. This choice of sampling path requires the extraction of surface wave pole contributions prior to the application of DCIM. Different forms of the Ewald method are utilized to efficiently compute the infinite summations associated with the complex images and the contribution of surface wave poles.

Subject Keywords

Discrete Complex Image Method, Ewald Transformation, Green's Functions, Multilayer Periodic Structures

URI

https://hdl.handle.net/11511/36899

Journal

IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION

DOI

https://doi.org/10.1109/tap.2014.2323087

Collections

Department of Electrical and Electronics Engineering, Article

Suggestions

OpenMETU
Core

Implementation of coordinate transformations in periodic finite-element method for modeling rough surface scattering problems ÖZGÜN, ÖZLEM; Kuzuoğlu, Mustafa (2016-05-01) The coordinate transformation technique (with its current name of transformation electromagnetics) is applied to the finite-element method (FEM) with periodic boundary conditions for efficient Monte Carlo simulation of one-dimensional random rough surface scattering problems. In a unit cell of periodic structure, two coordinate transformations are used, one of which is a real transformation designed to model the rough surface with flat surface, and the other is a complex transformation used to design a perf...
An Efficient Numerical Approach for Evaluating Sommerfeld Integrals Arising in the Construction of Green's Functions for Layered Media Özgün, Özlem; Mittra, Raj; Kuzuoğlu, Mustafa (2022-01-01) This paper presents an efficient approach for evaluating the Sommerfeld integrals in the spectral domain, whose integrands typically show an oscillatory and slowly decaying behavior at high frequencies, e.g., in the millimeter wave regime. It is well known that these integrals arise in the representations of the dyadic Green's functions of layered media and efficient computation of these Green's functions is key to rapid CEM modeling of patch antennas and printed circuits designed for 5G appli...
Closed-form Green's functions for finite grounded dielectric substrate Öğücü, Gölge; ALATAN, LALE; Aydın Çivi, Hatice Özlem (Informa UK Limited, 2005-02-01) The approximate closed-form Green's functions of the vector and scalar potentials in the spatial domain are derived for a horizontal electric dipole placed over a finite grounded dielectric medium. The effects of the discontinuity at the edges are considered by including the surface wave reflections from the edges, which are obtained as a function of the incident angle by using the edge admittance concept. The closed-form expressions of the reflection coefficients are then derived by means of the generalize...
Radiative phi -> f(0)(980)gamma decay in light cone QCD sum rules Alıyev, Tahmasıb; Özpineci, Altuğ; Savcı, Mustafa (2002-02-21) The light cone QCD sum rules method is used to calculate the transition form factor for the radiative phi --> f(0gamma) decay, assuming that the quark content of the f(0) meson is pare (s) over bars state. The branching ratio is estimated to be beta(phi --> f(0)gamma) = 3.5 x (1 +/- 0.3) x 10(-4). A comparison of our prediction on branching ratio with the theoretical results and experimental data existing in literature is presented.
Modeling Electromagnetic Scattering from Random Array of Objects by Form Invariance of Maxwell's Equations ÖZGÜN, ÖZLEM; Kuzuoğlu, Mustafa (2015-07-24) Electromagnetic scattering from a random array of objects is modeled by using special coordinate transformations that are based on the form invariance property of Maxwell's equations. The main motivation is to perform multiple realizations of Monte Carlo simulations corresponding to different positions of objects in an efficient way by using a single mesh. This is achieved by locating transformation media within the computational domain. The proposed approach is applied to finite element method and tested b...

Citation Formats

S. Adanir and L. Alatan, “Complete and Accurate Discrete Complex Image Approximation of Periodic Green’s Function in Layered Media,” IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION, pp. 4115–4121, 2014, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/36899.