Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Coupled mode theory for acoustic resonators   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.

5
The categories of this paper are: gr-qc
23
The categories of this paper are: solv-int
0
The categories of this paper are: hep-ph
35
The categories of this paper are: mtrl-th
10
The categories of this paper are: q-bio
2
The categories of this paper are: math
15
The categories of this paper are: nucl-ex
30
The categories of this paper are: q-alg
1
The categories of this paper are: cs
17
The categories of this paper are: q-fin
24
The categories of this paper are: dg-ga
7
The categories of this paper are: hep-th
19
The categories of this paper are: eess
16
The categories of this paper are: stat
29
The categories of this paper are: funct-an
36
The categories of this paper are: cmp-lg