Geometrical Acoustics. WKB Approximation

1990 ◽  
pp. 165-178
Author(s):  
Leonid M. Brekhovskikh ◽  
Oleg A. Godin
Keyword(s):  
Wkb Approximation ◽  
Geometrical Acoustics

Shape invariance and the supersymmetry WKB approximation for a diatomic molecule potential

2000 ◽  
Vol 33 (39) ◽  
pp. 6993-6998 ◽  
Author(s):  
Chun-Sheng Jia ◽  
Jia-Ying Wang ◽  
Su He ◽  
Liang-Tian Sun
Keyword(s):  
Diatomic Molecule ◽  
Wkb Approximation ◽  
Shape Invariance

scholarly journals WKB approximation for analyzing quantum tunneling effect through negative Kratzer potential

2021 ◽  
Vol 1918 (2) ◽  
pp. 022026
Author(s):  
Herry F. Lalus ◽  
H Yudhawardana ◽  
N P Aryani
Keyword(s):  
Quantum Tunneling ◽  
Wkb Approximation ◽  
Tunneling Effect

Quantization of Higher-Order Constrained Lagrangian Systems Using the WKB Approximation

2004 ◽  
Vol 43 (11) ◽  
pp. 2285-2298 ◽  
Author(s):  
Eyad H. Hasan ◽  
Eqab M. Rabei ◽  
Humam B. Ghassib
Keyword(s):  
Higher Order ◽  
Wkb Approximation ◽  
Lagrangian Systems

Higher corrections to the WKB approximation

Physica ◽  
1967 ◽  
Vol 35 (1) ◽  
pp. 70-79 ◽  
Author(s):  
N.G. Van Kampen
Keyword(s):  
Wkb Approximation

scholarly journals Computer Modeling of Barrel-Vaulted Sanctuary Exhibiting Flutter Echo with Comparison to Measurements

Acoustics ◽  
2020 ◽  
Vol 2 (1) ◽  
pp. 87-109
Author(s):  
Heather Lai ◽  
Brian Hamilton
Keyword(s):  
Computer Modeling ◽  
Architectural Design ◽  
Impulse Responses ◽  
Time Frequency ◽  
Geometrical Acoustics ◽  
Decay Times ◽  
Before And After ◽  
Show Evidence ◽  
Architectural Planning ◽  
The Cost

Computer modeling in acoustics allows for the prediction of acoustical defects and the evaluation of potential remediations. In this article, computer modeling is applied to the case of a barrel-vaulted sanctuary whose architectural design and construction led to severe flutter echoes along the main aisle, which was later mitigated through acoustical remediations. State-of-the-art geometrical acoustics and wave-based simulations are carried out to analyze the acoustics of this space, with a particular focus on the flutter echoes along the main aisle, before and after remediations. Multi-resolution wavelet and spectrogram analyses are carried out to isolate and characterize flutter echoes within measurements and computer-simulated room impulse responses. Comparisons of simulated responses to measurements are also made in terms of decay times and curves. Simulated room impulse responses from both geometrical acoustics and wave-based methods show evidence of flutter echoes matching measurements, to varying degrees. Time-frequency analyses isolating flutter echoes demonstrate better matches to measurements from wave-based simulated responses, at the cost of longer simulation times than geometrical acoustics simulations. This case study highlights the importance of computer modeling of acoustics in early design phases of architectural planning of worship spaces.

Generalized WKB approximation to nonrelativistic normalizations and phase shifts in a screened Coulomb potential

1987 ◽  
Vol 36 (12) ◽  
pp. 5523-5529 ◽  
Author(s):  
J. Stein ◽  
Akiva Ron ◽  
I. B. Goldberg ◽  
R. H. Pratt
Keyword(s):  
Coulomb Potential ◽  
Phase Shifts ◽  
Wkb Approximation ◽  
Screened Coulomb Potential

A quantum WKB approximation without classical trajectories

1988 ◽  
Vol 29 (10) ◽  
pp. 2256-2267 ◽  
Author(s):  
F. H. Molzahn
Keyword(s):  
Wkb Approximation ◽  
Classical Trajectories
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