Quasi-normal mode theory of the scattering matrix, enforcing fundamental constraints for truncated expansions

@article{Benzaouia2021QuasinormalMT,
  title={Quasi-normal mode theory of the scattering matrix, enforcing fundamental constraints for truncated expansions},
  author={Mohammed Benzaouia and John D. Joannopoulos and Steven G. Johnson and Aristeidis Karalis},
  journal={Physical Review Research},
  year={2021}
}
Mohammed Benzaouia ,1,* John D. Joannopoulos,2 Steven G. Johnson ,3 and Aristeidis Karalis 4,† 1Department of Electrical Engineering and Computer Science, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA 2Department of Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA 3Department of Mathematics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA 4Research Laboratory of Electronics, Massachusetts Institute of… Expand
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References

SHOWING 1-10 OF 69 REFERENCES
Quasinormal-Mode Expansion of the Scattering Matrix
It is well known that the quasinormal modes (or resonant states) of photonic structures can be associated with the poles of the scattering matrix of the system in the complex-frequency plane. In thisExpand
Quasinormal Coupled Mode Theory.
Coupled mode theory (CMT) is a powerful framework for decomposing interactions between electromagnetic waves and scattering bodies into resonances and their couplings with power-carrying channels. ItExpand
Modeling electromagnetic resonators using quasinormal modes
We present a bi-orthogonal approach for modeling the response of localized electromagnetic resonators using quasinormal modes, which represent the natural, dissipative eigenmodes of the system withExpand
How to calculate the pole expansion of the optical scattering matrix from the resonant states
We present a formulation for the pole expansion of the scattering matrix of open optical resonators, in which the pole contributions are expressed solely in terms of the resonant states, their waveExpand
Quasimodal expansion of electromagnetic fields in open two-dimensional structures
A quasimodal expansion method (QMEM) is developed to model and understand the scattering properties of arbitrary shaped two-dimensional (2-D) open structures. In contrast with the bounded case whichExpand
Quasinormal-mode description of waves in one-dimensional photonic crystals.
TLDR
For a one-dimensional photonic crystal, a discussion about the completeness of the quasinormal-mode representation and a discussion on the complex eigenfrequencies, as well as the corresponding field distribution are presented. Expand
Temporal coupled-mode theory and the presence of non-orthogonal modes in lossless multimode cavities
We develop a general temporal coupled-mode theory for multimode optical resonators. This theory incorporates a formal description of a direct transmission pathway, and is therefore capable ofExpand
Density of modes and tunneling times in finite one-dimensional photonic crystals: a comprehensive analysis.
TLDR
It is found that for an arbitrary structure the density of modes can always be found as the ratio between the power emitted by a source located inside the structure and the power emission by the same source in free space, regardless of absorption or dispersion. Expand
Observation of trapped light within the radiation continuum
TLDR
It is predicted and shown experimentally that light can be perfectly confined in a patterned dielectric slab, even though outgoing waves are allowed in the surrounding medium. Expand
Quasinormal-mode expansion for waves in open systems
An open system is not conservative because energy can escape to the outside. As a result, the time-evolution operator is not Hermitian in the usual sense and the eigenfunctions (factorized solutionsExpand
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