Impulsive Singularity in a Stratified Fluid; Diffraction by a Vertical Half-Plane
نویسندگان
چکیده
منابع مشابه
Diffraction of a plane inhomogeneous electromagnetic wave by a perfectly conducting half-plane in an absorbing medium
The Sommerfeld’s problem of plane wave diffraction by a perfectly conducting half-plane is considered for the general case of an absorbing medium and an inhomogeneous incident wave, whose the constant phase planes are not parallel to the constant amplitude ones. The exact solution is represented in terms of parameters of incident wave propagation in the coordinate axes, but not in terms of angu...
متن کاملDiffraction of a Dipole Field by a Perfectly Conducting Half Plane
The problem of the diffraction of a dipole field by a perfectly conducting half plane or wedge has attracted considerable attention and the literature dates back over half a century. One of the earliest investigations was that of Bromwich (1915) who sought to deduce the solution from a Hertz vector made up of the known solution for the corresponding scalar problem, but it was later realized tha...
متن کاملOptical Diffraction in Close Proximity to Plane Apertures. II. Comparison of Half-Plane Diffraction Theories
The accuracy and physical significance of the classical Rayleigh-Sommerfeld and Kirchhoff diffraction integrals are assessed in the context of Sommerfeld's rigorous theory of half-plane diffraction and Maxwell's equations. It is shown that the Rayleigh-Sommerfeld integrals are in satisfactory agreement with Sommerfeld's theory in most of the positive near zone, except at sub-wavelength distance...
متن کاملThe Uniform geometrical Theory of Diffraction for elastodynamics: Plane wave scattering from a half-plane.
Diffraction phenomena studied in electromagnetism, acoustics, and elastodynamics are often modeled using integrals, such as the well-known Sommerfeld integral. The far field asymptotic evaluation of such integrals obtained using the method of steepest descent leads to the classical Geometrical Theory of Diffraction (GTD). It is well known that the method of steepest descent is inapplicable when...
متن کاملHydroelastic wave diffraction by a vertical cylinder.
A linear three-dimensional problem of hydroelastic wave diffraction by a bottom-mounted circular cylinder is analysed. The fluid is of finite depth and is covered by an ice sheet, which is clamped to the cylinder surface. The ice stretches from the cylinder to infinity in all lateral directions. The hydroelastic behaviour of the ice sheet is described by linear elastic plate theory, and the flu...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: The Quarterly Journal of Mechanics and Applied Mathematics
سال: 2011
ISSN: 0033-5614,1464-3855
DOI: 10.1093/qjmam/hbq028