• Corpus ID: 246240845

A coupled-mode theory for two-dimensional exterior Helmholtz problems based on the Neumann and Dirichlet normal mode expansion

@article{Matsushima2022ACT,
  title={A coupled-mode theory for two-dimensional exterior Helmholtz problems based on the Neumann and Dirichlet normal mode expansion},
  author={Kei Matsushima and Yuki Noguchi and Takayuki Yamada},
  journal={ArXiv},
  year={2022},
  volume={abs/2201.09502}
}
This study proposes a novel coupled-mode theory for two-dimensional exterior Helmholtz problems. The proposed approach is based on the separation of the entire space R into a fictitious disk and its exterior. The disk is allocated in such a way that it comprises all the inhomogeneity; therefore, the exterior supports cylindrical waves with a continuous spectrum. For the interior, we expand an unknown wave field using normal modes that satisfy some auxiliary boundary conditions on the surface of… 

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SHOWING 1-10 OF 27 REFERENCES
Generalized Modal Expansion of Electromagnetic Field in 2-D Bounded and Unbounded Media
A generalized modal expansion theory is presented to investigate and illustrate the physics of wave-matter interaction within arbitrary two-dimensional (2-D) bounded and unbounded electromagnetic
Coupled-mode theory for general free-space resonant scattering of waves
We present a universal coupled-mode-theory treatment of free-space scattering of waves from resonant objects. The range of applicability of the presented approach is fairly broad: it can be used for
The fast multipole method for the wave equation: a pedestrian prescription
TLDR
The FMM provides an efficient mechanism for the numerical convolution of the Green's function for the Helmholtz equation with a source distribution and can be used to radically accelerate the iterative solution of boundary-integral equations.
Improved multimodal admittance method in varying cross section waveguides
An improved version of the multimodal admittance method in acoustic waveguides with varying cross sections is presented. This method aims at a better convergence with respect to the number of
Boundary Conditions for Mode-Matching Analyses of Coupled Acoustic Fields in Ducts
The mode-matching method is used to analyze sound propagation in ducts modeled by a series of segments. Successful application of the method depends on adequately specifying and imposing the boundary
Resonant-state expansion applied to three-dimensional open optical systems: Complete set of static modes
We present two alternative complete sets of static modes of a homogeneous dielectric sphere, for their use in the resonant-state expansion (RSE), a rigorous perturbative method in electrodynamics.
A hybrid modal analysis for enclosed sound fields.
A hybrid modal expansion that combines the free field Green's function and a modal expansion will be presented in this paper based on a review and an extension of the existing modal analysis theories
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 this
Rapid solution of integral equations of classical potential theory
Temporal coupled-mode theory for light scattering by an arbitrarily shaped object supporting a single resonance
in terms of a background scattering matrix and the resonant radiation coefficients into different cylindrical or spherical wave channels. This theory provides a general formula for the scattering and
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