Abstract
An efficient complex root tracing algorithm for propagation and radiation problems is presented. The proposed approach is based on a discretization of Cauchy’s Argument Principle and its generalization to the C × R space. Moreover, an engagement of the tracing process with a global root finding algorithm recently presented in the literature is performed. In order to confirm a validity and efficiency of the proposed technique, a few different types of structures have been analyzed.
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- Category:
- Articles
- Type:
- artykuł w czasopiśmie wyróżnionym w JCR
- Published in:
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IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION
no. 65,
edition 5,
pages 2540 - 2546,
ISSN: 0018-926X - Language:
- English
- Publication year:
- 2017
- Bibliographic description:
- Kowalczyk P., Marynowski W.: Efficient Complex Root Tracing Algorithm for Propagation and Radiation Problems// IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION. -Vol. 65, iss. 5 (2017), s.2540-2546
- DOI:
- Digital Object Identifier (open in new tab) 10.1109/tap.2017.2684198
- Bibliography: test
-
- M. Mrozowski, "An efficient algorithm for finding zeros of a real function of two variables," IEEE Trans. Microw. Theory Techn., vol. 36, no. 3, pp. 601-604, Mar. 1988. open in new tab
- J. J. Michalski and P. Kowalczyk, "Efficient and systematic solution of real and complex eigenvalue problems employing simplex chain vertices searching procedure," IEEE Trans. Microw. Theory Techn., vol. 59, no. 9, pp. 2197-2205, Sep. 2011. open in new tab
- J. Gulgowski and J. J. Michalski, "Topological attitude towards path following, applied to localization of complex dispersion characteristics for a lossy microwave, ferrite-coupled transmission line," IMA J. Appl. Math., vol. 80, no. 2, pp. 494-507, 2015. open in new tab
- P. Kowalczyk, "Complex root finding algorithm based on delaunay triangulation," ACM Trans. Math. Softw., vol. 41, no. 3, pp. 19:1-19:13, Jun. 2015. open in new tab
- J. W. Brown and R. V. Churchill, Complex Variables and Applications. New York, NY, USA: McGraw-Hill, 2009.
- W. Zieniutycz, "Comments on 'The ZEPLS program for solving charac- teristic equations of electromagnetic structures,"' IEEE Trans. Microw. Theory Techn., vol. 31, no. 5, p. 420, May 1983. open in new tab
- Y. S. Suh, "Stability of time delay systems using numerical computation of argument principles," in Proc. 40th IEEE Conf. Decision Control, Orlando, FL, USA, Dec. 2001, pp. 4738-4743.
- P. Kowalczyk, "On root finding algorithms for complex functions with branch cuts," J. Comput. Appl. Math., vol. 314, pp. 1-9, Apr. 2017. [Online]. Available: http://dx.doi.org/10.1016/j.cam.2016.10.015 open in new tab
- G. W. Stewart, "On the convergence of multipoint iterations," Numer. Math., vol. 68, no. 1, pp. 143-147, Jun. 1994. open in new tab
- J. S. Gomez-Diaz, J. R. Mosig, and J. Perruisseau-Carrier, "Effect of spatial dispersion on surface waves propagating along graphene sheets," IEEE Trans. Antennas Propag., vol. 61, no. 7, pp. 3589-3596, Jul. 2013. open in new tab
- G. Lovat, P. Burghignoli, and R. Araneo, "Low-frequency dominant- mode propagation in spatially dispersive graphene nanowaveguides," IEEE Trans. Electromagn. Compat., vol. 55, no. 2, pp. 328-333, Apr. 2013. open in new tab
- M. Mrozowski, Guided Electromagnetic Waves, Properties and Analysis. Hoboken, NJ, USA: Wiley, 1997.
- K.-L. Wong, Y.-T. Cheng, and J.-S. Row, "Analysis of a cylindrical- rectangular microstrip structure with an airgap," IEEE Trans. Microw. Theory Techn., vol. 42, no. 6, pp. 1032-1037, Jun. 1994.
- R. Lech, W. Marynowski, A. Kusiek, and J. Mazur, "An analysis of probe-fed rectangular patch antennas with multilayer and multipatch configurations on cylindrical surfaces," IEEE Trans. Antennas Propag., vol. 62, no. 6, pp. 2935-2945, Jun. 2014. open in new tab
- Verified by:
- Gdańsk University of Technology
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