A Class Of Conjugate Characteristic Function With The Pml Acoustic Waveguide Structure And Its Application

On the bounded region with the perfectly matched layer, since there is noorthogonal property of the eigenfunctions for the improved and complex Helmholtzequation(ICHE), it is difficult to compute the coordinates under the local baseswhen the equation is solved by some numerical marching methods. In this paper,the equation of the conjugate eigenfunctions for ICHE is deduced, and it is proventhat there is the orthogonal property between the eigenfunctions and the conjugatefunctions. In the meantime, a simple and convenient formula is give to calculate thecoordinates under the local bases. This may ensure the higher efficiency by use ofthe marching methods. Simulation numerical results show that the treatment ismore feasible and efficient.