Title :
Operator factorization of scalar wave equation in frequency-domain
Author_Institution :
Dept. of Electr. & Syst. Eng., Connecticut Univ., Storrs, CT, USA
Abstract :
A method for deriving the partial differential operator factorizations of the scalar wave equation in the time-domain were derived by Engquist and Majda (1977). An alternative way to derive these equations in the frequency-domain is presented. It is shown that the limitation and accuracy of the resulting one-way wave equations may be easier to observe from this derivation. The possibility of the similar finite-difference method based on the one-way wave equations derived by the operator factorization is also discussed.<>
Keywords :
finite difference methods; frequency-domain analysis; wave equations; waveguide theory; finite-difference method; frequency-domain; one-way wave equations; partial differential operator factorizations; scalar wave equation; Boundary conditions; Differential equations; Dispersion; Eigenvalues and eigenfunctions; Finite difference methods; Frequency; Partial differential equations; Propagation constant; Taylor series; Time domain analysis;
Journal_Title :
Microwave and Guided Wave Letters, IEEE
