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Analysis of Leaky Wave Antennas Using the Matrix Pencil Method


Analysis of Leaky Wave Antennas Using the Matrix Pencil Method

Singh, Amardeep (2014) Analysis of Leaky Wave Antennas Using the Matrix Pencil Method. Masters thesis, Concordia University.

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Singh_MASc_S2015.pdf - Accepted Version
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The leaky-wave antenna (LWA) is a traveling wave antenna that uses a fast wave
as the main radiating mechanism, where the fast wave is radiating continuously along
the structure. Depending on the length of the antenna, some part of the fast wave
gets reflected from the end and causes another beam in the opposite direction. The
effects of the reflected fast wave on the radiation pattern can be analyzed if the
reflection coefficient at the end of the antenna is known, which can be obtained from
the complex amplitude and propagation constants associated with the fast waves.
Even the radiation pattern of a LWA can be obtained using the reflection coefficient
and propagation constants.
Closed top guiding structures, a dielectric slab waveguide, 2-D LWAs and 3-D
LWAs are modeled in a commercial full wave MoM solver, FEKO. The near-field
samples are calculated along the structure. For these types of structures, the total
near field can be expressed as a sum of complex exponentials. The matrix pencil
method (MPM) is a most accurate and efficient linear technique to approximate a
function by a sum of complex exponentials. The exponential components from the
total near field use the complex propagation constants inside the structure, which are
calculated using the MPM. The MPM extracted amplitude and phase components
are used to calculate the reflection coefficients of the structures and radiation patterns
of the LWAs.
The accuracy of this approach is verified using various open and closed guiding
structures in 2-D and 3-D, and by comparing the results with available numerical and
experimental results.

Divisions:Concordia University > Gina Cody School of Engineering and Computer Science > Electrical and Computer Engineering
Item Type:Thesis (Masters)
Authors:Singh, Amardeep
Institution:Concordia University
Degree Name:M.A. Sc.
Program:Electrical and Computer Engineering
Date:21 December 2014
Thesis Supervisor(s):Paknys, Robert
Keywords:Leaky wave antenna, Matrix pencil method (MPM)
ID Code:979732
Deposited On:13 Jul 2015 13:13
Last Modified:18 Jan 2018 17:49


[1] W. Croswell and F. J. Zucker, “Surface-wave antennas,” in Antenna Engineering
Handbook, McGraw-Hill, New York, 2007.
[2] D. R. Jackson and A. A. Oliner, “Leaky-wave antennas,” in Modern Antenna
Handbook, John Wiley and Sons, 2008.
[3] C. Caloz, D. R. Jackson, and T. Itoh, “Leaky-wave antennas,” in Frontiers in
Antennas: Next Generation Design and Engineering, McGraw-Hill, New York,
NY, Dec. 2011.
[4] A. A. Oliner and D. R. Jackson, “Leaky-wave antennas,” in Antenna Engineering
Handbook (J. Volakis, ed.), pp. 11.1–11.56, McGraw-Hill, 2007.
[5] W. W. Hansen, “Radiating electromagnetic waveguide,” 1940. U.S. Patent No.
[6] N. G. Alexopoulos and D. R. Jackson, “Fundamental superstrate (cover) effects
on printed circuit antennas,” IEEE Trans. Antennas Propagat., vol. 32, pp. 807–
816, August 1984.
[7] D. R. Jackson and N. G. Alexopoulos, “Gain enhancement methods for printed
circuit antennas,” IEEE Trans. Antennas Propagat., vol. 33, pp. 976–987, Sept
[8] P. Feresidis and J. C. Vardaxoglou, “High gain planar antenna using opti-
mized partially reflective surfaces,” IEEE Proc. Microwaves Antennas Propagat.,
vol. 148, pp. 345–350, Dec 2001.
[9] T. Zhao, D. Jackson, H. D. Yang, and A. A. Oliner, “2-d periodic leaky-wave
antennas-part 1: metal patch design,” IEEE Trans. Antennas Propagat., vol. 53,
p. 11, 2005.
[10] T. K. Sarkar and O. Pereira, “Using the matrix pencil method to estimate the
parameters of a sum of complex exponentials,” IEEE Antennas and Propagation
Magazine, vol. 37, Feb 1995.
[11] F. R. Gantmachar, Theory of Matrices, vol. 1. New York, Chelsea, 1960.
[12] Y. Hua, On techniques for estimating parameters of exponentially damped or
undamped sinusoids in noise. PhD thesis, Syracuse University, Syracuse, NY,
[13] T. K. Sarkar, R. S. Adve, and Z. A. Maricevic, “Utilization of the matrix pen-
cil technique for determining the modal propagation characteristics of printed
circuits,” Microwave symposium digest, IEEE MTT-S Inter., vol. 1, June 1996.
[14] Z. Altman, R. Mittra, O. Hashimoto, and E. Michielssen, “Efficient represen-
tation of induced currents on large scatterers using the generalized pencil of
function method,” IEEE Trans. Antennas Propagat., vol. AP-7, pp. 51–57, 1996.
[15] C. D. Nallo, F. Mesa, and D. R. Jackson, “Excitation of leaky modes on multi-
layer stripline structures,” IEEE Trans. Microw. Theory Tech, vol. 46, pp. 1062–
1071, August 1998.
[16] Y.-C. Chen, C.-K. C. Tzuang, T. Itoh, and T. K. Sarkar, “Modal characteristics
of planer transmission lines with periodical perturbations: Their behavior in bound, stopband and radiation regions,” IEEE Trans. Antennas Propag., vol. 53, pp. 47–58, Jan 2005.
[17] A. K. Ozturk, Vertex diffracted edge waves on a perfectly conducting plane an-
gular sector. PhD thesis, Concordia University, 2009.
[18] A. K. Ozturk and R. Paknys, “Analysis of propagation between rows of conduct-
ing cylinders that model solid surfaces using the same surface area rule,” IEEE
Trans. Antennas Propagat., vol. 60, no. 5, 2012.
[19] FEKO user’s manual 6.3. http://www.feko.info, 2013.
[20] Y. Hua and T. K. Sarkar, “Matrix pencil method of estimating parameters of
exponentially damped/udamped sinusoid in noise,” IEEE Trans. Acoustic Speach
Signal Processing, vol. 38, pp. 834–844, May 2012.
[21] Y. Hua and T. K. Sarkar, “Generalized pencil-of-function method for extracting
poles of an em system from its transient response,” IEEE Trans. on Antenna
and Propagation, vol. 37, February 1989.
[22] W. H. Press, B. P. Flannery, S. A. Teukolsky, and W.T.Vetterling, Numerical
Recipes. Cambridge University Press, 1986.
[23] J. Dongarra, E. Grosse, et al., “Netlib repository.” http://www.netlib.org,
c2000. Accessed: 2014-04-08.
[24] J. Encinar, “Mode-matching and point-matching techniques applied to the anal-
ysis of metal-strip-loaded dielectric antenna,” IEEE Trans. Antennas Propagat.,
vol. 38, pp. 1405–1412, Sep. 1990.
[25] T. Zhao, Analysis and design of 2-D Periodic Leaky-Wave Antennas with metal
patches or slots. PhD thesis, University of Houston, 2003.
[26] E. F. Knott, J. Shaeffer, and M. T. Tuley, Radar Cross Section. SciTech Pub-
lishing, second ed., 2004.
[27] T. Ozdemir and J. L. Volakis, “A comparative study of an abc and an artificial
absorber for truncating 3-d finite element meshes,” Antennas and Propagation
Society International Symposium, vol. 1, pp. 410–413, 1994.
[28] A. Singh, R. Paknys, and D. R. Jackson, “Using the matrix pencil method to
analyze a 3d leaky wave antenna,” IEEE AP-S Symposium on Antenna and
Propagation, July 2015. Accepted.
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