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Authors: Arezoo Zarif ; Mohammad Memarian and Khashayar Mehrany

Affiliation: Department of Electrical Engineering, Sharif University of Technology, Tehran and Iran

Keyword(s): Temporal Coupled Mode Theory, Ring Resonators, Travelling Wave Resonators.

Related Ontology Subjects/Areas/Topics: Photonic and Optoelectronic Materials and Devices ; Photonics ; Photonics, Optics and Laser Technology

Abstract: Temporal coupled mode theory (CMT) has so far been applied phenomenologically in the analysis of optical cavity-waveguide structures, and relies on a priori knowledge of the to-be-excited resonator mode. Thus a rigorous derivation from Maxwell’s equations, and without any prior knowledge of the resonator type is needed. In this paper we derive temporal CMT of optical cavities coupled to waveguides. Starting from Maxwell’s equations and considering a proper expansion of the modes of the waveguide and resonator, and using mode orthogonality, the temporal CMT for this structure is obtained. We show that this formulation is general and can be applied to both traveling wave and standing wave type resonators. The results are validated against full-wave simulations.

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Paper citation in several formats:
Zarif, A.; Memarian, M. and Mehrany, K. (2019). Rigorous Derivation of Temporal Coupled Mode Theory Expressions for Travelling and Standing Wave Resonators Coupled to Optical Waveguides. In Proceedings of the 7th International Conference on Photonics, Optics and Laser Technology - PHOTOPTICS; ISBN 978-989-758-364-3; ISSN 2184-4364, SciTePress, pages 201-208. DOI: 10.5220/0007387302010208

@conference{photoptics19,
author={Arezoo Zarif. and Mohammad Memarian. and Khashayar Mehrany.},
title={Rigorous Derivation of Temporal Coupled Mode Theory Expressions for Travelling and Standing Wave Resonators Coupled to Optical Waveguides},
booktitle={Proceedings of the 7th International Conference on Photonics, Optics and Laser Technology - PHOTOPTICS},
year={2019},
pages={201-208},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0007387302010208},
isbn={978-989-758-364-3},
issn={2184-4364},
}

TY - CONF

JO - Proceedings of the 7th International Conference on Photonics, Optics and Laser Technology - PHOTOPTICS
TI - Rigorous Derivation of Temporal Coupled Mode Theory Expressions for Travelling and Standing Wave Resonators Coupled to Optical Waveguides
SN - 978-989-758-364-3
IS - 2184-4364
AU - Zarif, A.
AU - Memarian, M.
AU - Mehrany, K.
PY - 2019
SP - 201
EP - 208
DO - 10.5220/0007387302010208
PB - SciTePress

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