Abstract
The azimuthal limitation of the Parabolic Equation (PE) approximation in solving the three-dimensional (3D) wave equation in cylindrical coordinate has been studied in this paper. Typically, 3D problems are dealt with an N × 2D approximation, which treats a 3D field as a fan-like composition of many 2D vertical slices (r - z plane in cylindrical coordinate) ignoring the θ-coupling terms. To deal with problems possessing 3D effects, the θ-coupling terms have to be considered in PE approximation. Nevertheless, the azimuthal limitation in the 3D PE approximation is not defined as well as the vertical angle limitation. Hence, the theoretical derivation estimating the azimuthal limitation is put forth in this work. Numerical results of a modified benchmark problem are also presented to validate the arguments and the wide angle version of the 3D PE model, FOR3D.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
