Diffraction at jump of curvature on an impedance boundary

✍ Scribed by Zigmund M. Rogoff; Aleksei P. Kiselev

• Publisher: Elsevier Science
• Year: 2001
• Tongue: English
• Weight: 332 KB
• Volume: 33
• Category: Article
• ISSN: 0165-2125
• DOI: 10.1016/s0165-2125(00)00041-x

✦ Synopsis

We consider diffraction by a body having an isolated jump of curvature. This is investigated for an incident field emitted from a high-frequency oscillatory line source. In this paper effects of impedance in conjunction with the jump in curvature are investigated by a kind of Kirchhoff's method. Since the tangential boundary component of the wavenumber of the incident field can equal the value of impedance, the significant feature of impedance over the Dirichlet and Neumann conditions is the possibility of surface wave excitation. However, surface waves are only excitable within a limited range of impedance values for a certain angle of incidence. This angle is defined by β. The cases studied are: diffraction by a jump in curvature for angles of incidence removed from β, diffraction by a jump in curvature for angles of incidence close to β. We present expressions for the diffracted fields emitted from the jump in curvature. A description of the wave fields associated with transitional regions for non-grazing angles of incidence is given.