Title :
Exact solutions for wave resonances in rectangular pyramidal cavity
Author :
Kozlov, Anton V. ; Mozhaev, Vladimir G.
Author_Institution :
Phys. Dept., Moscow State Univ., Moscow, Russia
fDate :
May 30 2011-June 3 2011
Abstract :
The exact analytical solutions for wave resonances are obtained for the first time in a pyramidal cavity with a square base and orthogonal opposite side faces. The solutions are a sum of degenerate modes of a cube composed from six such pyramids. The pyramid modes with the wave vectors parallel and oblique to edges, face and space diagonals of the cube are considered. According to the Weyl´s law, the cube modes can be used to calculate one fourth of all modes of the pyramid.
Keywords :
wave equations; Weyl law; cube modes; degenerate modes; exact analytical solutions; orthogonal opposite side faces; pyramid modes; rectangular pyramidal cavity; space diagonals; wave resonances; wave vectors; Boundary conditions; Cavity resonators; Diffraction; Propagation; Resonant frequency; Vectors; Vibrations;
Conference_Titel :
Days on Diffraction (DD), 2011
Conference_Location :
St. Petersburg
Print_ISBN :
978-1-4577-1577-8
DOI :
10.1109/DD.2011.6094372
