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Windowed Green Function Method for Nonuniform Open-Waveguide Problems

Bruno, Oscar P. and Garza, Emmanuel and Pérez-Arancibia, Carlos (2017) Windowed Green Function Method for Nonuniform Open-Waveguide Problems. IEEE Transactions on Antennas and Propagation, 65 (9). pp. 4684-4692. ISSN 0018-926X. https://resolver.caltech.edu/CaltechAUTHORS:20170719-171226860

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Abstract

This contribution presents a novel Windowed Green Function (WGF) method for the solution of problems of wave propagation, scattering, and radiation for structures that include open (dielectric) waveguides, waveguide junctions, as well as launching and/or termination sites and other nonuniformities. Based on the use of a “slow-rise” smooth-windowing technique in conjunction with free-space Green functions and associated integral representations, the proposed approach produces numerical solutions with errors that decrease faster than any negative power of the window size. The proposed methodology bypasses some of the most significant challenges associated with waveguide simulation. In particular, the WGF approach handles spatially infinite dielectric waveguide structures without recourse to absorbing boundary conditions, it facilitates proper treatment of complex geometries, and it seamlessly incorporates the open-waveguide character and associated radiation conditions inherent in the problem under consideration. The overall WGF approach is demonstrated in this paper by means of a variety of numerical results for 2-D open-waveguide termination, launching and junction problems.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.1109/TAP.2017.2728118DOIArticle
https://arxiv.org/abs/1610.04939arXivDiscussion Paper
ORCID:
AuthorORCID
Bruno, Oscar P.0000-0001-8369-3014
Additional Information:© 2017 IEEE. Manuscript received January 6, 2017; revised June 23, 2017; accepted June 28, 2017. Date of publication July 18, 2017; date of current version September 1, 2017. The authors gratefully acknowledge support by NSF and AFOSR through contracts DMS-1411876 and FA9550-15-1-0043, and by the NSSEFF Vannevar Bush Fellowship under contract number N00014-16-1-2808.
Funders:
Funding AgencyGrant Number
NSFDMS-1411876
Air Force Office of Scientific Research (AFOSR)FA9550-15-1-0043
National Security Science and Engineering Faculty FellowshipN00014-16-1-2808
Vannever Bush Faculty FellowshipUNSPECIFIED
Subject Keywords:Dielectric waveguides, electromagnetic scattering, green function, integral equations, open waveguides
Issue or Number:9
Record Number:CaltechAUTHORS:20170719-171226860
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20170719-171226860
Official Citation:O. P. Bruno, E. Garza and C. Pérez-Arancibia, "Windowed Green Function Method for Nonuniform Open-Waveguide Problems," in IEEE Transactions on Antennas and Propagation, vol. 65, no. 9, pp. 4684-4692, Sept. 2017. doi: 10.1109/TAP.2017.2728118 URL: http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=7983012&isnumber=8024125
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:79218
Collection:CaltechAUTHORS
Deposited By: Kristin Buxton
Deposited On:20 Jul 2017 18:59
Last Modified:03 Oct 2019 18:17

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