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Geometric and mechanical changes along the length of the porcine aorta. [PDF]
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A refinement of the Kirchhoff approximation to the scattered elastic fields
Ultrasonics, 2012We study two canonical problems, diffraction of a plane elastic wave by a thin crack and diffraction of a plane elastic wave by a wedge, both in the high-frequency regime. In applications this regime is usually treated using the so-called Kirchhoff approximation.
Larissa Fradkin, Michel Darmon
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ANZIAM Journal, 2020 The Kirchhoff approximation is widely used to describe the scatter of elastodynamic waves. It simulates the scattered field as the convolution of the free-space Green’s tensor with the geometrical elastodynamics approximation to the total field on the scatterer surface and, therefore, cannot be used to describe nongeometrical phenomena, such as head ...
L. J. FRADKIN +5 more
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Gaussian rough surfaces and Kirchhoff approximation
IEEE Transactions on Antennas and Propagation, 1999 Summary: Electromagnetic scattering is often solved by applying the Kirchhoff approximation to the Stratton-Chu scattering integral. In the case of rough surfaces, it is usually assumed that this is possible if the incident electromagnetic wavelength is small compared to the mean radius of curvature of the surface. Accordingly, evaluation of the latter
A. COLLARO +3 more
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Diffraction integrals and the Kirchhoff approximation
Essays in Physics, 2021Abstract“Diffraction integrals and the Kirchhoff approximation” gathers together theorems concerned with diffraction. The diffraction integral may be put into Dirichlet and Neumann forms. Back-diffraction is exactly zero (not relying on a Kirchhoff approximation or an obliquity factor).
Geoffrey Brooker
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Kirchhoff approximation for diffusive waves
Physical Review E, 2001Quantitative measurements of diffuse media, in spectroscopic or imaging mode, rely on the generation of appropriate forward solutions, independently of the inversion scheme employed. For complex boundaries, the use of numerical methods is generally preferred due to implementation simplicity, but usually results in great computational needs, especially ...
J, Ripoll +3 more
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Scattering at a rough boundary—Extensions of the Kirchhoff approximation
The Journal of the Acoustical Society of America, 1982A Helmholtz integral formula gives the acoustic field reflected from a rough surface, in terms of the values of the acoustic field and of its normal derivative at all points on the surface. For surface reflection problems in which one, or the other, of these surface field values are specified, we can make use of this formula to derive a boundary ...
Liszka, E. G., McCoy, J. J.
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Beyond the Kirchhoff approximation
Radio Science, 1989The three most successful models for describing scattering from random rough surfaces are the Kirchhoff approximation (KA), the small perturbation method (SPM) and the two‐scale roughness (or composite roughness) surface scattering (TSR) models. In this paper it will be shown how these three models can be derived rigorously from one perturbation ...
E. Rodríguez
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Scattering of light by crystals: a modified Kirchhoff approximation
Applied Optics, 1989A modified Kirchhoff approximation (MKA) is developed for the scattering of light by randomly oriented crystals. The reflected and transmitted near fields are calculated from ray tracing; the corresponding far fields are then obtained via the vector Kirchhoff integral.
K. Muinonen
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Approximation of Large Bending Isometries with Discrete Kirchhoff Triangles
SIAM Journal on Numerical Analysis, 2013We devise and analyze a simple numerical method for the approximation of large bending isometries. The discretization employs a discrete Kirchhoff triangle to deal with second order derivatives and convergence of discrete solutions to minimizers of the continuous formulation is proved.
Sören Bartels
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