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Diffraction by an elliptic cone
Diffraction by an elliptic cone,10.1002/cpa.3160140104,Communications on Pure and Applied Mathematics,Lester Kraus,Leo M. Levine
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Diffraction by an elliptic cone
(
Citations: 24
)
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Lester Kraus
,
Leo M. Levine
Journal:
Communications on Pure and Applied Mathematics - COMMUN PURE APPL MATH
, vol. 14, no. 1, pp. 49-68, 1961
DOI:
10.1002/cpa.3160140104
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doi.wiley.com
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Citation Context
(5)
...The diffraction at the vertex of a plane angular sector admits a solution in terms of a spherical wave series expansion [
6
]‐[13], which however involves the calculation of eigenfunctions and exhibits a critical convergence in the plane-wave farfield regime, and it is therefore not suitable for asymptotic ray description...
Matteo Albani
,
et al.
UTD Vertex Diffraction Coefficient for the Scattering by Perfectly Con...
...Indeed, existing solutions consider the quarter plane as a degenerated elliptic cone and express the field as a spherical wave multipole series [
Kraus and Levine, 1961;
Satterwhite, 1974; Sahalos and Thiele, 1983; Bowman et al., 1987; Hansen, 1990] (see [Blume, 1996] for a recent review)...
Matteo Albani
.
On Radlow's quarter-plane diffraction solution
...For a noncircular cone, it is possible to construct an exact solution (in terms of the Lam´ e functions) only in the case of an elliptic cone [
19
]...
Y. A. Antipov
.
Diffraction of a Plane Wave by a Circular Cone with an Impedance Bound...
...Pioneering work has been carried out by Kraus and Levine, who examined scalar diffraction by a semi-infinite elliptic cone with the aid of the same technique [
9
]...
Siegfried Blume
,
et al.
Numerical evaluation of dyadic diffraction coefficients and bistatic r...
...The only solution to the vertex scattering problems is for the case of a perfectly conducting plane angular sector (vertex where two surfaces meet) [
5
], and no suitable asymptotic expansion of the solution has been found...
N. D. Taket
,
et al.
A physical optics version of the geometrical theory of diffraction
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Citations
(24)
Benefits of pregnant sheep immunostimulation with Corynebacterium cutis on post-partum and early newborn's life IgG levels, stillbirth rate and lamb's weight
Özge Turna Yılmaz
,
Güven Kaşıkçı
,
Mehmet Can Gündüz
Journal:
Small Ruminant Research - SMALL RUMINANT RES
, vol. 97, no. 1, pp. 146-151, 2011
Embedding formulae for scattering by three-dimensional structures
(
Citations: 2
)
E. A. Skelton
,
R. V. Craster
,
A. V. Shanin
,
V. Valyaev
Journal:
Wave Motion
, vol. 47, no. 5, pp. 299-317, 2010
UTD Vertex Diffraction Coefficient for the Scattering by Perfectly Conducting Faceted Structures
(
Citations: 4
)
Matteo Albani
,
Filippo Capolino
,
Giorgio Carluccio
,
Stefano Maci
Journal:
IEEE Transactions on Antennas and Propagation - IEEE TRANS ANTENNAS PROPAGAT
, vol. 57, no. 12, pp. 3911-3925, 2009
Electromagnetic Excitation of PEC Slotted Cones by Elementary Radial Dipoles—A Semi-Inversion Analysis
Elena K. Semenova
,
Vladimir A. Doroshenko
Journal:
IEEE Transactions on Antennas and Propagation - IEEE TRANS ANTENNAS PROPAGAT
, vol. 56, no. 7, pp. 1976-1983, 2008
On Radlow's quarter-plane diffraction solution
(
Citations: 6
)
Matteo Albani
Journal:
Radio Science - RADIO SCI
, vol. 42, no. 6, 2007