首页 | 本学科首页   官方微博 | 高级检索  
     检索      


Acoustic cavity modes in lens-shaped structures
Authors:Willatzen M  Lew Yan Voon L C
Institution:Mads Clausen Institute for Product Innovation, University of Southern Denmark, Grundtviqs Alle 150, DK-6400 Soenderborg, Denmark. Willatzen@mci.sdu.dk
Abstract:A method for solving exactly the Helmholtz equation in parabolic rotational coordinates is presented using separability of the eigenfunctions and the Frobenius power series expansion technique. Two examples of interest in acoustics are considered and analyzed quasianalytically: The acoustic pressure in a cavity defined by two paraboloids (forming a lens-shaped structure) with (I) rigid wall boundary conditions and (II) pressure-release boundaries. The rigid-wall (pressure-release) acoustic enclosure problem is a Neumann (Dirichlet) boundary condition problem. In both cases, eigenfunctions and eigenmodes are calculated and the shape dependence of the eigenvalue for the ground state is examined.
Keywords:
本文献已被 PubMed 等数据库收录!
设为首页 | 免责声明 | 关于勤云 | 加入收藏

Copyright©北京勤云科技发展有限公司  京ICP备09084417号