A plane wave expansion theorem for cylindrically radiated fields

1974 ◽  
Vol 8 (4) ◽  
pp. 291-296
Author(s):  
S. N. Karp ◽  
N. R. Zitron
Keyword(s):  
Plane Wave ◽  
Plane Wave Expansion ◽  
Expansion Theorem ◽  
Wave Expansion

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

scholarly journals Modelling Propagating Bloch Waves in Magnetoelectroelastic Phononic Structures with Kagomé Lattice Using the Improved Plane Wave Expansion

Crystals ◽  
2020 ◽  
Vol 10 (7) ◽  
pp. 586 ◽  
Author(s):  
Edson Jansen Pedrosa de Miranda ◽  
Samuel Filgueiras Rodrigues ◽  
Clodualdo Aranas ◽  
Hélio Vitor Cantanhêde da Silva ◽  
Eden Santos Silva ◽  
...  
Keyword(s):  
Plane Wave ◽  
Transverse Isotropy ◽  
Phononic Crystal ◽  
Plane Wave Expansion ◽  
Kagome Lattice ◽  
Dispersion Diagram ◽  
Kagomé Lattice ◽  
Wave Expansion ◽  
Piezomagnetic Effects ◽  
Classical Elasticity Theory

We studied the dispersion diagram of a 2D magnetoelectroelastic phononic crystal (MPnC) with Kagomé lattice. The MPnC is composed of BaTiO3–CoFe2O4 circular scatterers embedded in a polymeric matrix. The improved plane wave expansion (IPWE) approach was used to calculate the dispersion diagram (only propagating modes) of the MPnC considering the classical elasticity theory, solid with transverse isotropy and wave propagation in the xy plane. Complete Bragg-type forbidden bands were observed for XY and Z modes. The piezoelectric and the piezomagnetic effects significantly influenced the forbidden band widths and localizations. This investigation can be valuable for elastic wave manipulation using smart phononic crystals with piezoelectric and piezomagnetic effects.

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