Non-symmetric flexural wave scattering and one-way extreme absorption

Wave scattering in one dimension with absorption

Wave scattering is analyzed in a one-dimensional nonconservative medium governed by the generalized Schrödinger equation dc/dx1kc5@ ikP(x) 1Q(x)#c , where P(x) and Q(x) are real, integrable potentials with finite first moments. Various properties of the scattering solutions are obtained. The corresponding scattering matrix is analyzed, and its small-k and large-k asymptotics are established. Th...

Acoustic and flexural wave scattering from a three-member junction

A three-member junction is formed by a pair of semi-infinite plates in contact with fluid on one side and a mechanical structure on the other. The latter is described by an impedance matrix. The excitation is either a straight crested flexural wave traveling on one of the fluid-loaded plates and obliquely incident on the line junction, or an acoustic plane-wave incident from any direction in th...

Wide-angle one-way wave equations.

A one-way wave equation, also known as a paraxial or parabolic wave equation, is a differential equation that permits wave propagation in certain directions only. Such equations are used regularly in underwater acoustics, in geophysics, and as energy-absorbing numerical boundary conditions. The design of a one-way wave equation is connected with the approximation of (1-s2)1/2 on [-1,1] by a rat...

Performance of Symmetric Ciphers and One-Way Hash Functions

An alarmingly large number of different cryptosystems have been proposed for use with Internet Privacy Enhanced Mail [1]. These include the hash functions MD-n (for various values of n) and a combinatorial explosion of new DES modes. The criteria for choosing which algorithm is most suitable for a particular application include vulnerability to attacks, performance, and availability of hardware...

Spherically symmetric inhomogeneous bianisotropic media: Wave propagation and light scattering