Show/Hide Menu
Hide/Show Apps
Logout
Türkçe
Türkçe
Search
Search
Login
Login
OpenMETU
OpenMETU
About
About
Open Science Policy
Open Science Policy
Open Access Guideline
Open Access Guideline
Postgraduate Thesis Guideline
Postgraduate Thesis Guideline
Communities & Collections
Communities & Collections
Help
Help
Frequently Asked Questions
Frequently Asked Questions
Guides
Guides
Thesis submission
Thesis submission
MS without thesis term project submission
MS without thesis term project submission
Publication submission with DOI
Publication submission with DOI
Publication submission
Publication submission
Supporting Information
Supporting Information
General Information
General Information
Copyright, Embargo and License
Copyright, Embargo and License
Contact us
Contact us
A Novel Approach for the Efficient Computation of 1-D and 2-D Summations
Download
index.pdf
Date
2016-03-01
Author
Karabulut, E. Pinar
ERTÜRK, VAKUR BEHÇET
Alatan, Lale
Karan, S.
Alisan, Burak
Aksun, M. I.
Metadata
Show full item record
This work is licensed under a
Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License
.
Item Usage Stats
247
views
0
downloads
Cite This
A novel computational method is proposed to evaluate 1-D and 2-D summations and integrals which are relatively difficult to compute numerically. The method is based on applying a subspace algorithm to the samples of partial sums and approximating them in terms of complex exponentials. For a convergent summation, the residue of the exponential term with zero complex pole of this approximation corresponds to the result of the summation. Since the procedure requires the evaluation of relatively small number of terms, the computation time for the evaluation of the summation is reduced significantly. In addition, by using the proposed method, very accurate and convergent results are obtained for the summations which are not even absolutely convergent. The efficiency and accuracy of the method are verified by evaluating some challenging 1-D and 2-D summations and integrals.
Subject Keywords
Acceleration techniques
,
Cylindrically stratified media
,
Green’s functions
,
Numerical methods
,
Periodic structure
,
Planar layered structure
,
Sommerfeld integrals
URI
https://hdl.handle.net/11511/32890
Journal
IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION
DOI
https://doi.org/10.1109/tap.2016.2521860
Collections
Department of Electrical and Electronics Engineering, Article
Suggestions
OpenMETU
Core
Efficient Computation of Green's Functions for Multilayer Media in the Context of 5G Applications
Mittra, Raj; Özgün, Özlem; Li, Chao; Kuzuoğlu, Mustafa (2021-03-22)
This paper presents a novel method for effective computation of Sommerfeld integrals which arise in problems involving antennas or scatterers embedded in planar multilayered media. Sommerfeld integrals that need to be computed in the evaluation of spatial-domain Green's functions are often highly oscillatory and slowly decaying. For this reason, standard numerical integration methods are not efficient for such integrals, especially at millimeter waves. The main motivation of the proposed method is to comput...
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...
A Non-Galerkin Spatial-Domain Approach for Efficient Calculation of the Dispersion Characteristics of Microstrip Lines
Guedue, Tamer; Alatan, Lale (2008-07-11)
In the analysis of dispersion characteristics of microstrip lines, spectral domain approaches has been preferred as opposed to the spatial domain calculations since the spatial domain Green's functions corresponding to the microstrip structure require the numerical evaluation of inverse Fourier transform integrals which are computationally expensive. However as demonstrated in Bernal, J. et al, (2000), the discrete complex image representation of the spatial domain Greenpsilas functions eliminates the need ...
An Efficient Semianalytical Method for Hypersingularity Treatment Over Curved Patches
Selcuk, G.; Koç, Seyit Sencer (2017-05-01)
In this communication, we propose an efficient method to evaluate hypersingular integrals defined on curved surfaces. First an exact expression for hypersingular kernel is derived by projecting the integral on curvilinear element on a flat surface. Next singularity subtraction employed, where the singular core is hypersingular and the remaining part is weakly singular. The singular core is evaluated analytically using finite part interpretation and the remaining weakly singular part is evaluated numerically...
A Novel Computational Method to Calculate Nonlinear Normal Modes of Complex Structures
Samandarı, Hamed; Ciğeroğlu, Ender (2019-01-31)
In this study, a simple and efficient computational approach to obtain nonlinear normal modes (NNMs) of nonlinear structures is presented. Describing function method (DFM) is used to capture the nonlinear internal forces under periodic motion. DFM has the advantage of expressing the nonlinear internal force as a nonlinear stiffness matrix multiplied by a displacement vector, where the off-diagonal terms of the nonlinear stiffness matrix can provide a comprehensive knowledge about the coupling between the mo...
Citation Formats
IEEE
ACM
APA
CHICAGO
MLA
BibTeX
E. P. Karabulut, V. B. ERTÜRK, L. Alatan, S. Karan, B. Alisan, and M. I. Aksun, “A Novel Approach for the Efficient Computation of 1-D and 2-D Summations,”
IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION
, pp. 1014–1022, 2016, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/32890.