A fast procedure to accurately determine leaky modes in multilayered planar dielectric substrates
- Author
- Hendrik Rogier (UGent) and Dries Vande Ginste (UGent)
- Organization
- Abstract
- Leaky modes of multilayered substrates play an important role in efficient numerical electromagnetic solvers. In this paper, the location of the propagation constants of the transverse electric and transverse magnetic leaky modes are determined in an efficient way for multilayered substrates with commensurable layer thicknesses. It is shown that, for all practical applications, accurate quasi-static approximations for high mode orders can be derived rapidly by finding the roots of an analytically obtained polynomial. Furthermore, simple closed-form expressions are derived for some particular cases. Starting from these estimates, only a few additional Newton steps are required for a very precise determination of the propagation constants. The proposed method is validated by means of several illustrative numerical examples.
- Keywords
- multilayered substrates, leaky waves, numerical electromagnetic analysis, quasi-static approximations, PERFECTLY MATCHED LAYERS, GREENS-FUNCTION, WAVE-GUIDE, PROPAGATION CONSTANTS, MAXWELLS EQUATIONS, MEDIA, REPRESENTATION, BERENGER, SLAB, DISCONTINUITIES
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Citation
Please use this url to cite or link to this publication: http://hdl.handle.net/1854/LU-677593
- MLA
- Rogier, Hendrik, and Dries Vande Ginste. “A Fast Procedure to Accurately Determine Leaky Modes in Multilayered Planar Dielectric Substrates.” IEEE TRANSACTIONS ON MICROWAVE THEORY AND TECHNIQUES, vol. 56, no. 6, 2008, pp. 1413–22, doi:10.1109/TMTT.2008.923896.
- APA
- Rogier, H., & Vande Ginste, D. (2008). A fast procedure to accurately determine leaky modes in multilayered planar dielectric substrates. IEEE TRANSACTIONS ON MICROWAVE THEORY AND TECHNIQUES, 56(6), 1413–1422. https://doi.org/10.1109/TMTT.2008.923896
- Chicago author-date
- Rogier, Hendrik, and Dries Vande Ginste. 2008. “A Fast Procedure to Accurately Determine Leaky Modes in Multilayered Planar Dielectric Substrates.” IEEE TRANSACTIONS ON MICROWAVE THEORY AND TECHNIQUES 56 (6): 1413–22. https://doi.org/10.1109/TMTT.2008.923896.
- Chicago author-date (all authors)
- Rogier, Hendrik, and Dries Vande Ginste. 2008. “A Fast Procedure to Accurately Determine Leaky Modes in Multilayered Planar Dielectric Substrates.” IEEE TRANSACTIONS ON MICROWAVE THEORY AND TECHNIQUES 56 (6): 1413–1422. doi:10.1109/TMTT.2008.923896.
- Vancouver
- 1.Rogier H, Vande Ginste D. A fast procedure to accurately determine leaky modes in multilayered planar dielectric substrates. IEEE TRANSACTIONS ON MICROWAVE THEORY AND TECHNIQUES. 2008;56(6):1413–22.
- IEEE
- [1]H. Rogier and D. Vande Ginste, “A fast procedure to accurately determine leaky modes in multilayered planar dielectric substrates,” IEEE TRANSACTIONS ON MICROWAVE THEORY AND TECHNIQUES, vol. 56, no. 6, pp. 1413–1422, 2008.
@article{677593,
abstract = {{Leaky modes of multilayered substrates play an important role in efficient numerical electromagnetic solvers. In this paper, the location of the propagation constants of the transverse electric and transverse magnetic leaky modes are determined in an efficient way for multilayered substrates with commensurable layer thicknesses. It is shown that, for all practical applications, accurate quasi-static approximations for high mode orders can be derived rapidly by finding the roots of an analytically obtained polynomial. Furthermore, simple closed-form expressions are derived for some particular cases. Starting from these estimates, only a few additional Newton steps are required for a very precise determination of the propagation constants. The proposed method is validated by means of several illustrative numerical examples.}},
author = {{Rogier, Hendrik and Vande Ginste, Dries}},
issn = {{0018-9480}},
journal = {{IEEE TRANSACTIONS ON MICROWAVE THEORY AND TECHNIQUES}},
keywords = {{multilayered substrates,leaky waves,numerical electromagnetic analysis,quasi-static approximations,PERFECTLY MATCHED LAYERS,GREENS-FUNCTION,WAVE-GUIDE,PROPAGATION CONSTANTS,MAXWELLS EQUATIONS,MEDIA,REPRESENTATION,BERENGER,SLAB,DISCONTINUITIES}},
language = {{eng}},
number = {{6}},
pages = {{1413--1422}},
title = {{A fast procedure to accurately determine leaky modes in multilayered planar dielectric substrates}},
url = {{http://doi.org/10.1109/TMTT.2008.923896}},
volume = {{56}},
year = {{2008}},
}
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