Quasinormal Coupled Mode Theory

Zhang, Hanwen; Miller, Owen D.

doi:10.48550/arxiv.2010.08650

Cited by 9 publications

(31 citation statements)

References 56 publications

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“…In most practically relevant cases (for details, see Refs. [76,80,95]), one trivially obtains E R =E and H R =H.…”

Section: Resultsmentioning

confidence: 99%

“…[75,76,80,82,83,93], and references therein. A very convenient formalism to summarize the interaction of a resonator with incident light is via the optical scattering matrix S 77,80,95,98 . The idea is as follows: The resonator has different so-called incoming channels N, via which it can be excited, and different so-called outgoing channels M, via which it can radiate light 80,99 .…”

Section: Resultsmentioning

confidence: 99%

“…). Each element S MN of the scattering matrix represents the transmission (or reflection) amplitude from one particular input channel N into one particular output channel M. The scattering matrix can be calculated from the modes as 77,80,95 S MN = S…”

Section: Resultsmentioning

confidence: 99%

“…Note that S bg MN , a n,M , and b n,N are considered here as k dependent. We want to remark that there exist several alternative representations 77,80,95,98 of Eq. ( 4), which differ in the definition of the background term and the coefficients.…”

Section: Resultsmentioning

confidence: 99%

“…[76], a rigorous electrodynamic perturbation method was developed for predicting modal changes in systems containing bianisotropic materials. References [77,80,95] demonstrate how to construct the optical scattering matrix of a resonator from its modes. Based on these works, we have derived a simple expression for the change of the optical scattering matrix under chiral material perturbations.…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

Nanophotonic Chiral Sensing: How Does it Actually Work?

Both

Gießen

Weiß

2021

Conference on Lasers and Electro-Optics

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Nanophotonic chiral sensing has recently attracted a lot of attention. The idea is to exploit the strong light-matter interaction in nanophotonic resonators to determine the concentration of chiral molecules at ultra-low thresholds, which is highly attractive for numerous applications in life science and chemistry. However, a thorough understanding of the underlying interactions is still missing. The theoretical description relies on either simple approximations or on purely numerical approaches. We close this gap and present a general theory of chiral light-matter interactions in arbitrary resonators. Our theory describes the chiral interaction as a perturbation of the resonator modes, also known as resonant states or quasinormal modes. We observe two dominant contributions: A chirality-induced resonance shift and changes in the modes excitation and emission efficiencies. Our theory brings new and deep insights for tailoring and enhancing chiral lightmatter interactions. Furthermore, it allows to predict spectra much more efficiently in comparison to conventional approaches. This is particularly true as chiral interactions are inherently weak and therefore perturbation theory fits extremely well for this problem.

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“…In most practically relevant cases (for details, see Refs. [76,80,95]), one trivially obtains E R =E and H R =H.…”

Section: Resultsmentioning

confidence: 99%

Section: Resultsmentioning

confidence: 99%

Section: Resultsmentioning

confidence: 99%

Section: Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Nanophotonic Chiral Sensing: How Does it Actually Work?

Both

Gießen

Weiß

2021

Conference on Lasers and Electro-Optics

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Covert Scattering Control in Metamaterials with Non‐Locally Encoded Hidden Symmetry

Sol,

Röntgen,

del Hougne

2023

Advanced Materials

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Symmetries and tunability are of fundamental importance in wave scattering control, but symmetries are often obvious upon visual inspection which constitutes a significant vulnerability of metamaterial wave devices to reverse‐engineering risks. Here, it is theoretically and experimentally shown that a symmetry in the reduced basis of the “primary meta‐atoms” that are directly connected to the outside world is sufficient; meanwhile, a suitable topology of non‐local interactions between them, mediated by the internal “secondary” meta‐atoms, can hide the symmetry from sight in the canonical basis. Covert symmetry‐based scattering control in a cable‐network metamaterial featuring a hidden parity () symmetry in combination with hidden‐‐symmetry‐preserving and hidden‐‐symmetry‐breaking tuning mechanisms is experimentally demonstrated. Physical‐layer security in wired communications is achieved, using the domain‐wise hidden ‐symmetry as shared secret between the sender and the legitimate receiver. Within the approximation of negligible absorption, the first tuning of a complex scattering metamaterial without mirror symmetry to feature exceptional points (EPs) of ‐symmetric reflectionless states, as well as quasi‐bound states in the continuum, is reported. These results are reproduced in metamaterials involving non‐reciprocal interactions between meta‐atoms, including the first observation of reflectionless EPs in a non‐reciprocal system.This article is protected by copyright. All rights reserved

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Inverse Design of Metasurfaces Based on Coupled-Mode Theory and Adjoint Optimization

et al. 2021

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Metasurfaces typically have sizes much larger than the wavelength yet contain a large number of subwavelength features. Thus, it is difficult to design entire metasurfaces using full-wave simulations. However, without full-wave simulations, most existing design approaches cannot accurately model the interactions between the individual elements comprising the metasurface. Here, we demonstrate an approach for the design of resonant metasurfaces based on coupled-mode theory. Our approach fully describes wave dynamics and coupling in metasurfaces and is much more computationally efficient than full-wave simulations. As an example, we show that the combination of coupled-mode theory and adjoint optimization can be used for the inverse design of high-numerical-aperture (0.9) metalenses with sizes as large as 10000 wavelengths. The computation efficiency of our approach is orders of magnitude faster than full-wave simulations. Complex functionalities such as angle-multiplexed metasurface holograms can also be realized. With its accuracy and efficiency, the proposed framework can be a powerful design tool for large-scale resonant flat-optics devices.

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Quasinormal Coupled Mode Theory

Cited by 9 publications

References 56 publications

Nanophotonic Chiral Sensing: How Does it Actually Work?

Nanophotonic Chiral Sensing: How Does it Actually Work?

Covert Scattering Control in Metamaterials with Non‐Locally Encoded Hidden Symmetry

Inverse Design of Metasurfaces Based on Coupled-Mode Theory and Adjoint Optimization

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