Highly Accurate Eigenvalue Analysis of Arbitrarily Shaped Acoustic Cavities with a Mixed Boundary using Plane Wave Functions

2019 ◽  
Vol 29 (5) ◽  
pp. 600-607
Author(s):  
S. W. Kang
Keyword(s):  
Plane Wave ◽  
Mixed Boundary ◽  
Wave Functions ◽  
Eigenvalue Analysis ◽  
Acoustic Cavities

Advanced NDIF Method for Eigenvalue Analysis of Arbitrarily Shaped Acoustic Cavities With the Partially Pressure-Release Boundary

2020 ◽  
Vol 143 (4) ◽  
Author(s):  
S. W. Kang ◽  
Satya N. Atluri
Keyword(s):  
Influence Function ◽  
Mixed Boundary ◽  
Rigid Wall ◽  
Eigenvalue Analysis ◽  
System Matrix ◽  
Acoustic Cavity ◽  
Pressure Release ◽  
Influence Function Method ◽  
Acoustic Cavities ◽  
Final System

Abstract In this paper, an advanced non-dimensional dynamic influence function method (NDIF method) for eigenvalue analysis of arbitrarily shaped two-dimensional acoustic cavities with the mixed boundary consisting of the pressure-release and rigid-wall boundaries is proposed. The existing NDIF method has the weakness of having to calculate the singularity of the final system matrix of an analyzed acoustic cavity in the frequency band of interest to obtain the eigenvalues of the cavity because the final system matrix is dependent on the frequency. The newly proposed NDIF method in this paper provides an efficient way to extract accurate eigenvalues and eigenmodes by successfully overcoming the above weaknesses. Finally, the validity and accuracy of the proposed method are shown through verification examples.

Two-body Schrödinger wave functions in a plane-wave basis via separation of dimensions

2018 ◽  
Vol 148 (10) ◽  
pp. 104101 ◽  
Author(s):  
Jonathan Jerke ◽  
Bill Poirier
Keyword(s):  
Plane Wave ◽  
Wave Functions

scholarly journals Scattering of a Plane Wave by an Anisotropic Plasma-Coated Conducting Sphere

2011 ◽  
Vol 2011 ◽  
pp. 1-6 ◽  
Author(s):  
You-Lin Geng
Keyword(s):  
Plane Wave ◽  
Electromagnetic Fields ◽  
Anisotropic Medium ◽  
Free Space ◽  
Numerical Results ◽  
Wave Functions ◽  
Vector Wave ◽  
Homogeneous Plasma ◽  
Conducting Sphere ◽  
Spherical Vector

The electromagnetic field in homogeneous plasma anisotropic medium can be expressed as the addition of the first and second spherical vector wave functions in plasma anisotropic medium. The tangential electromagnetic fields are continued in the boundary between the homogeneous plasma anisotropic medium and free space, and the tangential electrical field is zero in the surface of conducting sphere. The coefficients of electromagnetic fields in plasma anisotropic medium expanded in terms of spherical vector wave functions in plasma anisotropic medium are derived, and then the coefficients of scattering fields in terms of spherical vector functions in free space can be obtained. Numerical results between this paper and hybrid finite element-boundary integral-multilevel fast multipole algorithm (FE-BI-MLFMA) are given, and they are in agreement very well. Some new numerical results of a plane wave scattering by an anisotropic plasma-coated conducting sphere are obtained.

Tight-Binding Initialization for Generating High-Quality Initial Wave Functions: Application to Defects and Impurities in GaN

1995 ◽  
Vol 408 ◽  
Author(s):  
Jörg Neugebauer ◽  
Chris G. Van De Walle
Keyword(s):  
Plane Wave ◽  
Total Energy ◽  
Tight Binding ◽  
Wave Functions ◽  
Basis Set ◽  
Energy Methods ◽  
High Quality ◽  
Initial Wave ◽  
Efficient Construction ◽  
Energy Convergence

AbstractWe describe a new method that allows an efficient construction of high-quality initial wavefunctions which are required as input for iterative total-energy methods. The key element of the method is the reduction of the parameter space (number of wavefunctions) by about two orders of magnitude by projecting the plane-wave basis onto an atomic basis. We show that the wave functions constructed within this basis set are very close to the exact plane-wave wavefunctions, resulting in a rapid total-energy convergence.

On electromagnetic plane wave scattering by a prolate spheroid

1980 ◽  
Vol 58 (1) ◽  
pp. 25-30 ◽  
Author(s):  
B. P. Sinha ◽  
R. H. MacPhie
Keyword(s):  
Plane Wave ◽  
Low Frequency ◽  
Resonance Region ◽  
Prolate Spheroid ◽  
Wave Functions ◽  
Angle Of Incidence ◽  
Electromagnetic Plane Wave ◽  
Spheroidal Wave Functions ◽  
Prolate Spheroidal Wave Functions ◽  
Plane Wave Scattering

The exact solution in terms of vector prolate spheroidal wave functions for scattering of a plane wave of arbitrary polarization and angle of incidence by a conducting prolate spheroid, obtained in a previous paper by the authors, is utilized to obtain the expansion in the far zone of the scattered field in terms of the much simpler spherical vector wave functions. This extends the range of such formulations, heretofore available only for the low frequency domain, to the resonance region and beyond.

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