An efficient plane wave expansion algorithm for analyzing low frequency scattering problems

2004 ◽  
Author(s):  
M. Ayatollahi ◽  
S. Safavi-Naeini
Keyword(s):  
Plane Wave ◽  
Low Frequency ◽  
Plane Wave Expansion ◽  
Scattering Problems ◽  
Wave Expansion

scholarly journals Low Frequency Interactive Auralization Based on a Plane Wave Expansion

2017 ◽  
Vol 7 (6) ◽  
pp. 558 ◽  
Author(s):  
Diego Gómez ◽  
Jeremy Astley ◽  
Filippo Fazi
Keyword(s):  
Plane Wave ◽  
Low Frequency ◽  
Plane Wave Expansion ◽  
Wave Expansion

scholarly journals Propagation Modeling of Point Source Excited Magnetoinductive Waves Based on a New Plane Wave Expansion Approach

2015 ◽  
Vol 2015 ◽  
pp. 1-9
Author(s):  
Feng Liu ◽  
Zhijun Zhang ◽  
Lianqing Zhu ◽  
Yajun Liu
Keyword(s):  
Plane Wave ◽  
Point Source ◽  
Time Domain ◽  
Near Field ◽  
Plane Waves ◽  
Low Frequency ◽  
Square Lattice ◽  
Plane Wave Expansion ◽  
Propagation Modeling ◽  
Wave Expansion

The signal fading in wireless underground sensor networks (WUSNs), which is caused by lossy media such as soil and sand, can be reduced by applying technology of magnetoinductive (MI) propagation. This technology can effectively establish a communication at very low frequency (VLF). In contrast to the previous studies in the literature, which mostly focus on the propagation of plane waves, we propose a new approach based on the plane wave expansion (PWE) to model the near field MI waves. The proposed approach is based on excitation of a point source, which is a common case in a practical WUSN. The frequent usage of square lattice MI structure is investigated. To verify the mathematical derivation, the simulation of time domain based on the fourth-order Runge-Kutta (RK) method is carried out. Simulation results show that the new model can provide a precise prediction to the MI wave’s propagation, with the computation load being one-tenth of that of the time domain simulation. The characteristics of the propagation of the MI waves are presented and discussed. Finally, the reflection on the edge of the MI structure is reduced by analysing the terminal matching conditions and calculating a method for matching impedances.

scholarly journals Harmonic analysis of lossy, piezoelectric composite transducers using the plane wave expansion method

Ultrasonics ◽  
2008 ◽  
Vol 48 (8) ◽  
pp. 652-663 ◽  
Author(s):  
Leigh-Ann Orr ◽  
Anthony J. Mulholland ◽  
Richard L. O’Leary ◽  
Gordon Hayward
Keyword(s):  
Plane Wave ◽  
Harmonic Analysis ◽  
Expansion Method ◽  
Piezoelectric Composite ◽  
Plane Wave Expansion ◽  
Plane Wave Expansion Method ◽  
Wave Expansion

scholarly journals A q-linear analogue of the plane wave expansion

2013 ◽  
Vol 50 (3) ◽  
pp. 415-428 ◽  
Author(s):  
Luís Daniel Abreu ◽  
Óscar Ciaurri ◽  
Juan Luis Varona
Keyword(s):  
Plane Wave ◽  
Plane Wave Expansion ◽  
Wave Expansion
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