Diffraction by a wedge with a face of variable impedance

Abstract

[1] The two-dimensional problem of diffraction by a wedge with a face of variable impedance is explicitly solved by a probabilistic random walk method. The solution admits numerical simulation based on simple scalable algorithms with unlimited capability for parallel processing. The diffracted field is represented as a mathematical expectation of a specified functional on trajectories of random motions determined by the configuration of the problem. The solution is not significantly more difficult than a similar probabilistic solution of the problem with constant impedance faces.Citation: Budaev, B. V., and D. B. Bogy (2007), Diffraction by a wedge with a face of variable impedance, Radio Sci., 42, RS6S02,

An iterative semi‐analytical technique solving the boundary value problem of transmission through an anisotropic wedge

“…It is indisputable that the edge condition plays a significant role when solving wedge configurations but for points far from the corner, the field radiated from the edge gets significantly attenuated: these are the objective of the present study. In particular, the boundary conditions in the vicinity of the edge cannot be satisfied as happens in other works that incorporate edge component [ Meixner , 1972; Beker , 1991; Budaev and Bogy , 2007]. However, even if the no‐crossing infinite boundary assumption has been made, the concurrent fulfillment of the boundary conditions across both surfaces ( x = 0 and X = W ) is not possible by one single wave.…”