Three-dimensional wave-envelope elements of variable order for acoustic radiation and scattering. Part I. Formulation in the frequency domain

1998 ◽  
Vol 103 (1) ◽  
pp. 49-63 ◽  
Author(s):  
R. J. Astley ◽  
G. J. Macaulay ◽  
J-P. Coyette ◽  
L. Cremers
2009 ◽  
Vol 19 (02) ◽  
pp. 283-306 ◽  
Author(s):  
MARKUS HALTMEIER

This paper is concerned with a version of photoacoustic tomography, that uses line shaped detectors (instead of point-like ones) for the recording of acoustic data. The three-dimensional image reconstruction problem is reduced to a series of two-dimensional ones. First, the initial data of the two-dimensional wave equation is recovered from boundary data, and second, the classical two-dimensional Radon transform is inverted. We discuss uniqueness and stability of reconstruction, and compare frequency domain reconstruction formulas for various geometries.


2017 ◽  
Vol 31 (5) ◽  
pp. 539-548
Author(s):  
Ping Wang ◽  
Ning-chuan Zhang ◽  
Shuai Yuan ◽  
Wei-bin Chen

2015 ◽  
Vol 17 (30) ◽  
pp. 19806-19814 ◽  
Author(s):  
Mahmoud M. Ayass ◽  
Istvan Lagzi ◽  
Mazen Al-Ghoul

We report multiple three-dimensional wave phenomena in a heterogeneous system due to anomalous diffusion.


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