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Electromagnetic scattering by a plane angular sector: I. Diffraction coefficients of the spherical wave from the vertex. / Lyalinov, M.A.
в: Wave Motion, Том 55, 2015, стр. 10-34.Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
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TY - JOUR
T1 - Electromagnetic scattering by a plane angular sector: I. Diffraction coefficients of the spherical wave from the vertex
AU - Lyalinov, M.A.
PY - 2015
Y1 - 2015
N2 - Electromagnetic problem by a plane angular sector is studied. The perfectly conducting sector is illuminated by a plane electromagnetic wave. The scattered wave field consists of several components at large distances from the vertex of the sector. In the framework of the consequent and mathematically justified procedure, based on the Watson-Bessel and Sommerfeld integral representations of the electromagnetic Debye potentials, we develop expressions for the electromagnetic diffraction coefficients of the spherical wave from the vertex. To that end, we carefully study analytic properties of the Sommerfeld transformants and give a new procedure of analytic continuation for them. Like in the acoustic problem, the singularities of the Sommerfeld transformants on the real axis are responsible for the different components in the far field asymptotics. The expressions for the diffraction coefficients are specified in the form of integrals depending on the so called spectral functions, i.e. solutions of the boundary
AB - Electromagnetic problem by a plane angular sector is studied. The perfectly conducting sector is illuminated by a plane electromagnetic wave. The scattered wave field consists of several components at large distances from the vertex of the sector. In the framework of the consequent and mathematically justified procedure, based on the Watson-Bessel and Sommerfeld integral representations of the electromagnetic Debye potentials, we develop expressions for the electromagnetic diffraction coefficients of the spherical wave from the vertex. To that end, we carefully study analytic properties of the Sommerfeld transformants and give a new procedure of analytic continuation for them. Like in the acoustic problem, the singularities of the Sommerfeld transformants on the real axis are responsible for the different components in the far field asymptotics. The expressions for the diffraction coefficients are specified in the form of integrals depending on the so called spectral functions, i.e. solutions of the boundary
KW - Electromagnetic diffraction by a sector
KW - Scattering diagram
U2 - 10.1016/j.wavemoti.2015.01.001
DO - 10.1016/j.wavemoti.2015.01.001
M3 - Article
VL - 55
SP - 10
EP - 34
JO - Wave Motion
JF - Wave Motion
SN - 0165-2125
ER -
ID: 3925743