NDLI: Improving modal analysis of ID-periodic lines based on the simulation of finite structures

Content Provider	IEEE Xplore Digital Library
Author	Valerio, G. Paulotto, S. Baccarelli, P. Burghignoli, P. Galli, A.
Copyright Year	2010
Description	Author affiliation: “Sapienza” University of Rome, Rome, Italy (Valerio, G.; Paulotto, S.; Baccarelli, P.; Burghignoli, P.; Galli, A.)
Abstract	The numerical analysis of ID-periodic waveguides and antennas can be performed through both approximate and rigorous methods. The latter ones are based on the full-wave solution of the electromagnetic problem in the minimal spatial period of the structure (the “unit cell”) with Floquet conditions at its boundaries [1]. On the other hand, a well-known approximate method [2] is based on the description of the periodic waveguide as a cascade of cells, each characterized as a two-port network. Only one mode is assumed to be propagating along the unperturbed uniform waveguide, and a voltage and a current associated to it are defined at the boundary of each cell, i.e., at the ports of the relevant network. Since the Bloch waves propagating along the waveguide are modified simply through a complex factor between two adjacent ports, the associated voltage and current can be regarded as eigenvectors of the transmission matrix of each two-port network. Once the single cell is characterized through a simulation or a measurement, the dispersive analysis is then reduced to the algebraic problem of the study of the eigenvalues of a 2 × 2 complex matrix. This approach has proven to be very effective in microwave filtering applications for a long time, and has more recently been applied to radiation problems, in the framework of leaky-wave antennas [3] and metamaterial ID-periodic transmission lines [4]. Its drawback resides in the assumption that the characterization of the single cell is sufficient to model its behavior in a periodic environment; in other words, mutual coupling among the adjacent cells is neglected, possibly leading to inaccurate results. This is particularly true in radiative problems, especially when fine details of the dispersive behavior of the structures are considered. A solution of this problem could be the definition of new two-port networks, each made by a series of N adjacent unit cells, called here “W-macrocell”. Instead of the circuit characterization in the minimal spatial period of the structure, the eigenvalue problem is formulated with respect to these new macrocells. As discussed in the following sections, this approach leads to the introduction of spurious eigenvalues, which should be carefully excluded from the analysis: a simple and effective method is proposed here to this aim, and is validated on a simple canonical frequency-selective device.
Starting Page	1
Ending Page	4
File Size	419853
Page Count	4
File Format	PDF
ISBN	9781424449675
ISSN	15223965
DOI	10.1109/APS.2010.5561119
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2010-07-11
Publisher Place	Canada
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Eigenvalues and eigenfunctions Transmission line matrix methods Periodic structures Solid modeling Microwave antennas Mutual coupling Numerical models
Content Type	Text
Resource Type	Article

Sl.	Authority	Responsibilities	Communication Details
1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
5	Website/Portal (Helpdesk)	Queries regarding NDLI and its services	support@ndl.gov.in
6	Contents and Copyright Issues	Queries related to content curation and copyright issues	content@ndl.gov.in
7	National Digital Library of India Club (NDLI Club)	Queries related to NDLI Club formation, support, user awareness program, seminar/symposium, collaboration, social media, promotion, and outreach	clubsupport@ndl.gov.in
8	Digital Preservation Centre (DPC)	Assistance with digitizing and archiving copyright-free printed books	dpc@ndl.gov.in
9	IDR Setup or Support	Queries related to establishment and support of Institutional Digital Repository (IDR) and IDR workshops	idr@ndl.gov.in

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