Coupled mode theory for acoustic resonators

Максимов, Дмитрий Н.; Sadreev, Almas F.; Lyapina, Alina A.; Пилипчук, А. С.

doi:10.1016/j.wavemoti.2015.02.003

Cited by 48 publications

(74 citation statements)

References 38 publications

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“…The Hamiltonian approach provides a bottom-up scheme to construct the scattering matrix of the system, which also highlights the essential features and limitations of coupled-mode theory for wave scattering in various photonic structures [9][10][11][12]. To some extent, this effective Hamiltonian approach can be considered an advanced form of the standard coupled mode theory, taking into account the dispersive properties of the channels [13]. Let us consider, to be specific, an optical scatterer described by the effective Hamiltonian 0 H , which is coupled to M propagating channels labeled by 1, 2, , pM = .…”

Section: Theoretical Backgroundmentioning

confidence: 99%

Anomalies in light scattering

et al. 2019

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Scattering of electromagnetic waves lies at the heart of most experimental techniques over nearly the entire electromagnetic spectrum, ranging from radio waves to optics and X-rays. Hence, deep insight into the basics of scattering theory and understanding the peculiar features of electromagnetic scattering is necessary for the correct interpretation of experimental data and an understanding of the underlying physics. Recently, a broad spectrum of exotic scattering phenomena attainable in suitably engineered structures has been predicted and demonstrated.Examples include bound states in the continuum, exceptional points in -symmetrical non-Hermitian systems, coherent perfect absorption, virtual perfect absorption, nontrivial lasing, nonradiating sources and cloaking, and others. In this paper, we establish a unified description of such exotic scattering phenomena and show that the origin of all these effects can be traced back to the properties of the underlying scattering matrix. two or three dimensions. Maxwell's equations describing spatial and temporal evolution of electric ( , ) t Er and magnetic ( , ) t Hr fields for an arbitrary system are

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Section: Theoretical Backgroundmentioning

confidence: 99%

Anomalies in light scattering

et al. 2019

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“…In our recent work Maksimov et al (2015) we showed that the approach known in quantum mechanics as formalism of the effective non-Hermitian Hamiltonian Dittes (2000); Pichugin et al (2001) could be adapted for solving hard-wall acoustic cavity-duct problem. The essential feature of the approach is that it allows to recover transmission spectra of open-boundary systems relying on the spectral properties of their closed counterparts.…”

Section: Introductionmentioning

confidence: 99%

Bound states in the continuum in open acoustic resonators

et al. 2015

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Bound states in the continuum in open acoustic resonators 1We consider bound states in the continuum (BSC) or embedded trapped modes in twoand three-dimensional acoustic axisymmetric duct-cavity structures. We demonstrate numerically that under variation of the length of the cavity multiple BSCs occur due to the Friedrich-Wintgen two-mode full destructive interference mechanism. The BSCs are detected by tracing the resonant widths to the points of the collapse of Fano resonances where one of the two resonant modes acquires infinite life-time. It is shown that the approach of the acoustic coupled mode theory cast in the truncated form of a two-mode approximation allows us to analytically predict the BSC frequencies and shape functions to a good accuracy in both two and three dimensions.

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“…where is the third order Pauli matrix. In order to return the solution of (9) to the same frequency with (7) we can simply apply the complex conjugation operator. By doing so, we obtain that the system has two independent solutions at the same frequency.…”

Section: Formalizationmentioning

confidence: 99%

Coupled-mode theory for stationary and nonstationary resonant sound propagation

Koutserimpas

Fleury

2019

Wave Motion

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We present a complete analytical derivation of the equations used for stationary and nonstationary wave systems regarding resonant sound transmission and reflection described by the phenomenological Coupled-Mode Theory. We calculate the propagating and coupling parameters used in Coupled-Mode Theory directly by utilizing the generalized eigenwave-eigenvalue problem from the Hamiltonian of the sound wave equations. This Hamiltonian formalization can be very useful since it has the ability to describe mathematically a broad range of acoustic wave phenomena. We demonstrate how to use this theory as a basis for perturbative analysis of more complex resonant scattering scenarios. In particular, we also form the effective Hamiltonian and coupled-mode parameters for the study of sound resonators with background moving media.Finally, we provide a comparison between Coupled-Mode theory and full-wave numerical examples, which validate the Hamiltonian approach as a relevant model to compute the scattering characteristics of waves by complex resonant systems.

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Coupled mode theory for acoustic resonators

Cited by 48 publications

References 38 publications

Anomalies in light scattering

Anomalies in light scattering

Bound states in the continuum in open acoustic resonators

Coupled-mode theory for stationary and nonstationary resonant sound propagation

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