TY - GEN

T1 - On the use of Kontorovich-Lebedev transform in electromagnetic diffraction by an impedance cone

AU - Salem, Mohamed

AU - Kamel, Aladin Hassan

AU - Bagci, Hakan

N1 - KAUST Repository Item: Exported on 2020-10-01

PY - 2012/8

Y1 - 2012/8

N2 - We consider the boundary-value problem for the Helmholtz equation connected with an infinite circular cone with an impedance boundary on its face. The scheme of solution includes applying the Kontorovich-Lebedev (KL) transform to reduce the problem to that of a KL spectral amplitude function satisfying a singular integral equation of the non-convolution type with a variable coefficient. The singularities of the spectral function are deduced and representations for the field at the tip of the cone and in the near and far field regions are given together with the conditions of validity of these representations. © 2012 IEEE.

AB - We consider the boundary-value problem for the Helmholtz equation connected with an infinite circular cone with an impedance boundary on its face. The scheme of solution includes applying the Kontorovich-Lebedev (KL) transform to reduce the problem to that of a KL spectral amplitude function satisfying a singular integral equation of the non-convolution type with a variable coefficient. The singularities of the spectral function are deduced and representations for the field at the tip of the cone and in the near and far field regions are given together with the conditions of validity of these representations. © 2012 IEEE.

UR - http://hdl.handle.net/10754/564590

UR - http://ieeexplore.ieee.org/document/6331261/

UR - http://www.scopus.com/inward/record.url?scp=84870776365&partnerID=8YFLogxK

U2 - 10.1109/MMET.2012.6331261

DO - 10.1109/MMET.2012.6331261

M3 - Conference contribution

SN - 9781467344791

SP - 423

EP - 426

BT - 2012 International Conference on Mathematical Methods in Electromagnetic Theory

PB - Institute of Electrical and Electronics Engineers (IEEE)

ER -