Discontinuities in photonic waveguides: rigorous Maxwell-based 3D modeling with the finite element method
| Autor: | Gilles Renversez, Guillaume Demésy |
|---|---|
| Přispěvatelé: | ATHENA (ATHENA), Institut FRESNEL (FRESNEL), Aix Marseille Université (AMU)-École Centrale de Marseille (ECM)-Centre National de la Recherche Scientifique (CNRS)-Aix Marseille Université (AMU)-École Centrale de Marseille (ECM)-Centre National de la Recherche Scientifique (CNRS), Centre National de la Recherche Scientifique (CNRS)-École Centrale de Marseille (ECM)-Aix Marseille Université (AMU)-Centre National de la Recherche Scientifique (CNRS)-École Centrale de Marseille (ECM)-Aix Marseille Université (AMU) |
| Rok vydání: | 2020 |
| Předmět: |
Physics
Waveguide (electromagnetism) [PHYS.PHYS.PHYS-OPTICS]Physics [physics]/Physics [physics]/Optics [physics.optics] Field (physics) business.industry Mathematical analysis Classification of discontinuities 3D modeling 01 natural sciences Atomic and Molecular Physics and Optics Finite element method Electronic Optical and Magnetic Materials 010309 optics [PHYS.PHYS.PHYS-COMP-PH]Physics [physics]/Physics [physics]/Computational Physics [physics.comp-ph] [SPI]Engineering Sciences [physics] Optics 0103 physical sciences Computer Vision and Pattern Recognition Photonics Invariant (mathematics) business Finite set ComputingMilieux_MISCELLANEOUS |
| Zdroj: | Journal of the Optical Society of America. A Optics, Image Science, and Vision Journal of the Optical Society of America. A Optics, Image Science, and Vision, 2020, 37 (6), pp.1025. ⟨10.1364/JOSAA.390480⟩ Journal of the Optical Society of America. A Optics, Image Science, and Vision, Optical Society of America, 2020, 37 (6), pp.1025. ⟨10.1364/JOSAA.390480⟩ |
| ISSN: | 1520-8532 1084-7529 |
| DOI: | 10.1364/JOSAA.390480⟩ |
| Popis: | In this paper, a general methodology to study rigorous discontinuities in open waveguides is presented. It relies on a full vector description given by Maxwell’s equations in the framework of the finite element method. The discontinuities are not necessarily small perturbations of the initial waveguide and can be very general, such as plasmonic inclusions of arbitrary shapes. The leaky modes of the invariant structure are first computed and then injected as incident fields in the full structure with obstacles using a scattered field approach. The resulting scattered field is finally projected on the modes of the invariant structure making use of their bi-orthogonality. The energy balance is discussed. Finally, the modes of open waveguides periodically structured along the propagation direction are computed. The relevant complex propagation constants are compared to the transmission obtained for a finite number of identical cells. The relevance and complementarity of the two approaches are highlighted on a numerical example encountered in infrared sensing. Open source models allowing us to retrieve most of the results of this paper are provided. |
| Databáze: | OpenAIRE |
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