{
  "id": "1501.04653",
  "version": "v2",
  "published": "2015-01-16T12:49:25.000Z",
  "updated": "2015-04-11T12:26:52.000Z",
  "title": "Coupled mode theory for acoustic resonators",
  "authors": [
    "Dmitrii N. Maksimov",
    "Almas F. Sadreev",
    "Alina A. Lyapina",
    "Artem S. Pilipchuk"
  ],
  "categories": [
    "quant-ph",
    "cond-mat.mes-hall"
  ],
  "abstract": "We develop the effective non-Hermitian Hamiltonian approach for open systems with Neumann boundary conditions. The approach can be used for calculating the scattering matrix and the scattering function in open resonator-waveguide systems. In higher than one dimensions the method represents acoustic coupled mode theory in which the scattering solution within an open resonator is found in the form of expansion over the eigenmodes of the closed resonator decoupled from the waveguides. The problem of finding the transmission spectra is reduced to solving a set of linear equations with a non-Hermitian matrix whose anti-Hermitian term accounts for coupling between the resonator eigenmodes and the scattering channels of the waveguides. Numerical applications to acoustic two-, and three-dimensional resonator-waveguide problems are considered.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-01-16T12:49:25.000Z",
      "title": "Effective non-Hermitian Hamiltonian for open systems with Neumann boundary conditions",
      "abstract": "We develop the full-pledged effective non-Hermitian Hamiltonian approach for open systems with Neumann boundary conditions. We demonstrate how the approach could be used for calculating the scattering matrix and the scattering function in one, two, and three dimensional open resonators. Possible applications to the acoustic scattering problem are considered.",
      "comment": null,
      "journal": null,
      "doi": null
    },
    {
      "version": "v2",
      "updated": "2015-04-11T12:26:52.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "neumann boundary conditions",
      "open systems",
      "full-pledged effective non-hermitian hamiltonian approach",
      "dimensional open resonators",
      "acoustic scattering problem"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150104653M"
    }
  }
}