{"article_type":"original","type":"journal_article","date_updated":"2022-01-06T06:59:38Z","publication":"Journal of the Optical Society of America B","language":[{"iso":"eng"}],"urn":"38287","title":"Hybrid coupled-mode modeling in 3D: perturbed and coupled channels, and waveguide crossings","_id":"3828","department":[{"_id":"61"}],"publication_identifier":{"issn":["0740-3224","1520-8540"]},"volume":34,"user_id":"158","citation":{"ieee":"M. Hammer, S. Alhaddad, and J. Förstner, “Hybrid coupled-mode modeling in 3D: perturbed and coupled channels, and waveguide crossings,” <i>Journal of the Optical Society of America B</i>, vol. 34, no. 3, pp. 613–624, 2017.","bibtex":"@article{Hammer_Alhaddad_Förstner_2017, title={Hybrid coupled-mode modeling in 3D: perturbed and coupled channels, and waveguide crossings}, volume={34}, DOI={<a href=\"https://doi.org/10.1364/josab.34.000613\">10.1364/josab.34.000613</a>}, number={3}, journal={Journal of the Optical Society of America B}, publisher={The Optical Society}, author={Hammer, Manfred and Alhaddad, Samer and Förstner, Jens}, year={2017}, pages={613–624} }","mla":"Hammer, Manfred, et al. “Hybrid Coupled-Mode Modeling in 3D: Perturbed and Coupled Channels, and Waveguide Crossings.” <i>Journal of the Optical Society of America B</i>, vol. 34, no. 3, The Optical Society, 2017, pp. 613–24, doi:<a href=\"https://doi.org/10.1364/josab.34.000613\">10.1364/josab.34.000613</a>.","ama":"Hammer M, Alhaddad S, Förstner J. Hybrid coupled-mode modeling in 3D: perturbed and coupled channels, and waveguide crossings. <i>Journal of the Optical Society of America B</i>. 2017;34(3):613-624. doi:<a href=\"https://doi.org/10.1364/josab.34.000613\">10.1364/josab.34.000613</a>","chicago":"Hammer, Manfred, Samer Alhaddad, and Jens Förstner. “Hybrid Coupled-Mode Modeling in 3D: Perturbed and Coupled Channels, and Waveguide Crossings.” <i>Journal of the Optical Society of America B</i> 34, no. 3 (2017): 613–24. <a href=\"https://doi.org/10.1364/josab.34.000613\">https://doi.org/10.1364/josab.34.000613</a>.","apa":"Hammer, M., Alhaddad, S., &#38; Förstner, J. (2017). Hybrid coupled-mode modeling in 3D: perturbed and coupled channels, and waveguide crossings. <i>Journal of the Optical Society of America B</i>, <i>34</i>(3), 613–624. <a href=\"https://doi.org/10.1364/josab.34.000613\">https://doi.org/10.1364/josab.34.000613</a>","short":"M. Hammer, S. Alhaddad, J. Förstner, Journal of the Optical Society of America B 34 (2017) 613–624."},"status":"public","intvolume":"        34","year":"2017","publisher":"The Optical Society","author":[{"first_name":"Manfred","orcid":"0000-0002-6331-9348","full_name":"Hammer, Manfred","id":"48077","last_name":"Hammer"},{"first_name":"Samer","full_name":"Alhaddad, Samer","last_name":"Alhaddad"},{"full_name":"Förstner, Jens","last_name":"Förstner","id":"158","first_name":"Jens","orcid":"0000-0001-7059-9862"}],"doi":"10.1364/josab.34.000613","file":[{"file_size":5539592,"creator":"hclaudia","date_created":"2018-08-07T09:46:13Z","date_updated":"2018-09-03T14:09:04Z","relation":"main_file","access_level":"open_access","content_type":"application/pdf","file_name":"2017-02 Hammer_Hybrid coupled mode modelling in 3D_Perturbed and coupled channels and waveguide crossings_Coupled Mode Theory JOSA B.pdf","file_id":"3829"}],"page":"613-624","ddc":["530"],"publication_status":"published","issue":"3","keyword":["tet_topic_waveguide","tet_topic_numerics"],"file_date_updated":"2018-09-03T14:09:04Z","date_created":"2018-08-07T08:40:41Z","has_accepted_license":"1","oa":"1","abstract":[{"text":"The 3D implementation of a hybrid analytical/numerical variant of the coupled-mode theory is discussed.\r\nEigenmodes of the constituting dielectric channels are computed numerically. The frequency-domain\r\ncoupled-mode models then combine these into fully vectorial approximations for the optical electromagnetic\r\nfields of the composite structure. Following a discretization of amplitude functions by 1D finite elements, pro-\r\ncedures from the realm of finite-element numerics are applied to establish systems of linear equations for the then-\r\ndiscrete modal amplitudes. Examples substantiate the functioning of the technique and allow for some numerical\r\nassessment. The full 3D simulations are highly efficient in memory consumption, moderately demanding in com-\r\nputational time, and, in regimes of low radiative losses, sufficiently accurate for practical design. Our results\r\ninclude the perturbation of guided modes by changes of the refractive indices, the interaction of waves in parallel,\r\nhorizontally or vertically coupled straight waveguides, and a series of crossings of potentially overlapping channels\r\nwith fairly arbitrary relative positions and orientations.","lang":"eng"}]}