Title :
Undistorted progressive waves resulting from separation of variables in some orthogonal curvilinear coordinate systems
Author :
Utkin, Andrei B.
Author_Institution :
INOV - Inesc Inovacao, Portugal
Abstract :
New families of waves, solutions of the homogeneous wave equation akin to Bateman-Hillion relatively undistorted progressive waves and focus wave modes, where constructed on the basis of separation of variables in the wave equation and specific Bateman transformations in the circular cylindrical, elliptic cylindrical, and parabolic cylindrical coordinate systems.
Keywords :
wave equations; wave propagation; Bateman transformations; circular cylindrical coordinate system; elliptic cylindrical coordinate system; focus wave modes; homogeneous wave equation; orthogonal curvilinear coordinate systems; parabolic cylindrical coordinate system; undistorted progressive waves; wave equation; Boundary conditions; Construction industry; Diffraction; Equations; Measurement; Numerical analysis; Propagation;
Conference_Titel :
Days on Diffraction (DD), 2009 Proceedings of the International Conference
Conference_Location :
St. Petersburg
Print_ISBN :
978-1-4244-4874-6
