TY - GEN

T1 - Diffraction by an Impedance Cone and Weyl-Van der Pol Phenomenon in Acoustics and Electromagnetism

AU - Lyalinov, Mikhail A.

PY - 2016

Y1 - 2016

N2 - This paper deals with the asymptotic description of the diffraction pattern which is analogous to the classical Weyl- Van der Pol phenomenon (the Weyl-Van der Pol formula). The latter arises in the problem of diffraction of waves generated by a source located near an impedance plane. The incident wave illuminates a circular impedance cone. The singular point of the cone’s boundary (the vertex of the cone) plays the role of an imaginary source giving rise to the specific boundary layer in some vicinity of the corresponding impedance surface provided the surface impedance is relatively small. From the mathematical point of view the description of the phenomenon is given by means of the far field asymptotics for the Sommerfeld integral representations of the scattered field. For the small impedance of the scattering surface the singularities describing the surface wave, which propagates from the the vertex along the impedance surface, may be located in a neighborhood of the saddle points. The latter are responsi

AB - This paper deals with the asymptotic description of the diffraction pattern which is analogous to the classical Weyl- Van der Pol phenomenon (the Weyl-Van der Pol formula). The latter arises in the problem of diffraction of waves generated by a source located near an impedance plane. The incident wave illuminates a circular impedance cone. The singular point of the cone’s boundary (the vertex of the cone) plays the role of an imaginary source giving rise to the specific boundary layer in some vicinity of the corresponding impedance surface provided the surface impedance is relatively small. From the mathematical point of view the description of the phenomenon is given by means of the far field asymptotics for the Sommerfeld integral representations of the scattered field. For the small impedance of the scattering surface the singularities describing the surface wave, which propagates from the the vertex along the impedance surface, may be located in a neighborhood of the saddle points. The latter are responsi

U2 - 10.1109/URSI-EMTS.2016.7571312

DO - 10.1109/URSI-EMTS.2016.7571312

M3 - статья в сборнике материалов конференции

SN - 978-1-5090-2501-5

SP - 63

EP - 66

BT - Proceedings of 2016 URSI International Symposium on Electromagnetic Theory (EMTS) 14–18 August 2016 in Espoo, Finland

ER -